d+ decay modes.pdf

8/11/2019 D+ DECAY MODES.pdf

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Citation: S. Eidelman et al. (Particle Data Group), Phys. Lett. B 592 , 1 (2004) (URL: http://pdg.lbl.gov)

D I (J P ) = 12 (0

)

D MASSD MASSD MASSD MASS

The t includes D , D 0, D s , D , D 0, and D s mass and mass

difference measurements.

VALUE (MeV) EVTS DOCUMENT ID TECN COMMENT

1869 .4 0.5 OUR FIT1869 .4 0.5 OUR FIT1869 .4 0.5 OUR FIT1869 .4 0.5 OUR FIT Error includes scale factor of 1.1.1869 .4 0.5 OUR AVERAGE1869 .4 0.5 OUR AVERAGE1869 .4 0.5 OUR AVERAGE1869 .4 0.5 OUR AVERAGE1870 .0 0.5 1.0 317 BARLAG 90C ACCM Cu 230 GeV1863 4 DERRICK 84 HRS e + e 29 GeV1869 .4 0.6 1 TRILLING 81 RVUE e + e 3.77 GeV We do not use the following data for averages, ts, limits, etc.

1875 10 9 ADAMOVICH 87 EMUL Photoproduction1860 16 6 ADAMOVICH 84 EMUL Photoproduction1868 .4 0.5 1 SCHINDLER 81 MRK2 e + e 3.77 GeV

1874 5 GOLDHABER 77 MRK1 D 0

, D +

recoil spectra1868 .3 0.9 1 PERUZZI 77 MRK1 e + e 3.77 GeV1874 11 PICCOLO 77 MRK1 e + e 4.03, 4.41 GeV1876 15 50 PERUZZI 76 MRK1 K

1 PERUZZI 77 and SCHINDLER 81 errors do not include the 0.13% uncertainty in theabsolute SPEAR energy calibration. TRILLING 81 uses the high precision J / (1S ) and(2S ) measurements of ZHOLENTZ 80 to determine this uncertainty and combines thePERUZZI 77 and SCHINDLER 81 results to obtain the value quoted.

D MEAN LIFED MEAN LIFED MEAN LIFED MEAN LIFE

Measurements with an error > 100 10 15 s have been omitted from theListings.

VALUE (10 15 s) EVTS DOCUMENT ID TECN COMMENT

1040 7 OUR AVERAGE1040 7 OUR AVERAGE1040 7 OUR AVERAGE1040 7 OUR AVERAGE1039 .4 4.3 7.0 110k LINK 02F FOCS nucleus, 180 GeV

1033 .6 22.1 + 9 .9 12.7 3777 BONVICINI 99 CLE2 e + e (4S )

1048 15 11 9k FRABETTI 94 D E687 D + K + + We do not use the following data for averages, ts, limits, etc.

1075 40 18 2455 FRABETTI 91 E687 Be, D + K + +

1030 80 60 200 ALVAREZ 90 NA14 , D + K + +

1050 +77

72 317 2

BARLAG 90C ACCM

Cu 230 GeV1050 80 70 363 ALBRECHT 88 I ARG e + e 10 GeV1090 30 25 2992 RAAB 88 E691 Photoproduction

2 BARLAG 90C estimates the systematic error to be negligible.

HTTP://PDG.LBL.GOV Page 1 Created: 12/13/2004 10:49


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D + DECAY MODESD + DECAY MODESD + DECAY MODESD + DECAY MODES

D modes are charge conjugates of the modes below.

Scale factor/Mode Fraction ( i /) Condence level

Inclusive modesInclusive modesInclusive modesInclusive modes

1 e +

anything (17.2 1.9 ) %2 K anything (27.5 2.4 ) %3 K 0 anything + K 0 anything (61 8 ) %4 K + anything ( 5.5 1.6 ) %5 anything [a ] < 13 % CL=90%6 anything < 1.8 % CL=90%7 e + anything < 1.6 % CL=90%8 + anything

Leptonic and semileptonic modesLeptonic and semileptonic modesLeptonic and semileptonic modesLeptonic and semileptonic modes

9 + ( 8 +17 5 ) 10 4

10 K 0 + [b ] ( 6.8 0.8 ) %11 K 0 e + e ( 6.7 0.9 ) %12 K 0 + ( 7.0 + 3 .0 2.0 ) %

13 K + e + e ( 4.5 + 1 .0 0.8 ) % S=1.114 K (892) 0 e + e

B(K (892)0 K + )( 3.7 0.5 ) %

15 K + e + e nonresonant < 7 10 3 CL=90%16 K + + ( 4.00 0.32) %

In the t as 23 28 + 18 , where 23 28 = 17.

17 K (892) 0 + B(K (892)0 K + )

( 3.7 0.3 ) %

18 K + + nonresonant ( 3.3 1.3 ) 10 3

19 K 0 + e + e 20 K + 0 e + e 21 (K (892) )0 e + e < 1.2 % CL=90%22 (K )0 e + e non-K (892) < 9 10 3 CL=90%23 K + 0 + < 1.7 10 3 CL=90%24 0 + [c ] ( 3.1 1.5 ) 10 325 + e + e

Fractions of some of the following modes with resonances have alreadyappeared above as submodes of particular charged-particle modes.

26 K (892) 0 + [b ] ( 5.73 0.35) %27 K (892) 0 e + e ( 5.5 0.7 ) % S=1.428 K (892) 0 + ( 5.5 0.4 ) %



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29 K 1(1270) 0 + < 4 % CL=95%30 K (1410) 0 + 31 K 2(1430)

0 + < 1.0 % CL=95%32 0 e + e ( 2.5 1.0 ) 10 333 0 + ( 3.4 0.8 ) 10 3

34 e + e < 2.09 % CL=90%

35 +

< 3.72 % CL=90%36 + < 5 10 3 CL=90%37 (958) + < 1.1 % CL=90%

Hadronic modes with a K or K K K Hadronic modes with a K or K K K Hadronic modes with a K or K K K Hadronic modes with a K or K K K 38 K 0 + ( 2.82 0.19) %39 K + + [d ] ( 9.2 0.6 ) %40 K 0(800)

0 +

41 K (892) 0 + B(K (892)0 K + )

( 1.30 0.13) %

42 K 0(1430)0 +

B(K 0(1430) 0 K + )( 2.3 0.3 ) %

43 K 2(1430)0 +

B(K 2(1430)0 K + )

44 K (1680) 0 + B(K (1680) 0 K + )

( 3.8 0.8 ) 10 3

45 K + + nonresonant ( 8.8 0.9 ) %46 K 0 + 0 [d ] ( 9.7 3.0 ) % S=1.147 K 0 + ( 6.6 2.5 ) %48 K (892) 0 +

B(K (892)0 K 0 0)( 6.5 0.6 ) 10 3

49 K 0 + 0 nonresonant ( 1.3 1.1 ) %50 K + + 0 [d ] ( 6.5 1.1 ) %51 K (892) 0 + total

B(K (892)0 K + )( 1.4 0.9 ) %

52 K 1(1400) 0 + B(K 1(1400) 0 K + 0)

( 2.2 0.6 ) %

53 K + + total ( 3.1 1.1 ) %54 K + + 3-body ( 1.1 0.4 ) %55 K (892) 0 + 0 total

B(K (892)0 K + )( 4.5 0.9 ) %

56 K (892) 0 + 0 3-body B(K (892) 0 K + )

( 2.9 0.9 ) %

57 K (892) + + 3-body B(K (892) K 0)

( 7 3 ) 10 3

58 K + + 0 nonresonant [e ] ( 1.2 0.6 ) %59 K 0 + + [d ] ( 7.1 1.0 ) %



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60 K 0 a1(1260) + B(a1(1260) + + + )

( 4.0 0.9 ) %

61 K 1(1400) 0 + B(K 1(1400) 0 K 0 + )

( 2.2 0.6 ) %

62 K (892) + + 3-body B(K (892) K 0 )

( 1.4 0.6 ) %

63

K 0 0 + total ( 4.3 0.9 ) %64 K 0 0 + 3-body ( 5 5 ) 10 365 K 0 + + nonresonant ( 9 4 ) 10 366 K 3+ [d ] ( 6.2 0.8 ) 10 3 S=1.367 K (892) 0 + +

B(K (892)0 K + )( 2.1 0.8 ) 10 3

68 K (892) 0 0 + B(K (892) 0 K + )

( 2.0 0.5 ) 10 3

69 K (892) 0 + + no- B(K (892) 0 K + )

( 2.9 1.1 ) 10 3

70 K 0 + + ( 1.94 0.35) 10 3 S=1.1

71 K

3+

nonresonant ( 4.3 3.2 ) 10

472 K 2+ 2073 K 0 2+ 074 K 0 3+ 2

75 K 3+ 076 K 0 K 0 K + ( 1.8 0.8 ) %77 K + K K 0 + ( 5.5 1.4 ) 10 4


78 K 0 + ( 6.6 2.5 ) %79 K 0 a1(1260) + ( 8.2 1.7 ) %80 K 0 a2(1320) + < 3 10 3 CL=90%81 K 0(800)

0 +

82 K (892) 0 + ( 1.95 0.19) %83 K (892) 0 + total [e ] ( 2.1 1.4 ) %84 K (892) 0 + S -wave [e ] ( 1.7 1.6 ) %85 K (892) 0 + P -wave < 1 10 3 CL=90%86 K (892) 0 + D -wave (10 7 ) 10 387 K (892) 0 + D -wave longitudi-

nal< 7 10 3 CL=90%

88

K 1(1270) 0 + < 7 10 3 CL=90%

89 K 1(1400) 0 + ( 5.0 1.3 ) %90 K (1410) 0 +91 K 0(1430)

0 + ( 3.8 0.4 ) %92 K 2(1430)

0 +

93 K (1680) 0 + ( 1.47 0.31) %



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94 K (892) 0 + 0 total ( 6.8 1.4 ) %95 K (892) 0 + 0 3-body [e ] ( 4.3 1.4 ) %96 K (892) + + total 97 K (892) + + 3-body ( 2.1 0.9 ) %98 K + + total ( 3.1 1.1 ) %99 K + + 3-body ( 1.1 0.4 ) %

100 K 0 0 + total ( 4.3 0.9 ) % CL=90%

101 K 0 0 + 3-body ( 5 5 ) 10 3102 K 0 f 0(980) +103 K (892) 0 + + ( 3.2 1.2 ) 10 3 S=2.0104 K (892) 0 0 + ( 3.0 0.7 ) 10 3 S=1.3105 K (892) 0 + + no- ( 4.4 1.7 ) 10 3106 K 0 + + ( 1.94 0.35) 10 3107 K (892) 0 a1(1260) + ( 9.1 1.9 ) 10 3

Pionic modesPionic modesPionic modesPionic modes108 + 0 ( 2.6 0.7 ) 10 3109 + + ( 3.1 0.4 ) 10 3110 + ( 2.2 0.5 ) 10 3111 0 + ( 1.05 0.18) 10 3112 f 0(980) + B(f 0 + ) [f ] ( 1.9 0.5 ) 10 4113 f 2(1270) +

B(f 2 + )( 6.1 1.1 ) 10 4

114 f 0(1370) + B(f 0(1370) + )

115 (1450) 0 + B((1450) 0 + )

116 + + nonresonant ( 2.4 2.1 ) 10 4

117 +

+

0

118 + B( + 0) ( 6.8 1.4 ) 10 4119 + B( + 0) < 6 10 3 CL=90%120 3+ 2 ( 1.82 0.25) 10 3 S=1.2121 3+ 2 0


122 + ( 3.0 0.6 ) 10 3123 0 + ( 1.05 0.18) 10 3124 + < 7 10 3 CL=90%125 + < 7 10 3 CL=90%126 (958) + ( 5.1 1.0 ) 10 3127 (958) + < 5 10 3 CL=90%128 f 2(1270) + ( 1.08 0.20) 10 3



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Hadronic modes with a K K pairHadronic modes with a K K pairHadronic modes with a K K pairHadronic modes with a K K pair129 K + K 0 ( 5.9 0.6 ) 10 3 S=1.2130 K + K + [d ] ( 8.9 0.8 ) 10 3131 + B( K + K ) ( 3.1 0.3 ) 10 3132 K + K (892) 0

B(K 0 K + )( 2.9 0.4 ) 10 3

133

K + K + nonresonant ( 4.6 0.9 ) 10 3134 K 0 K 0 + 135 K (892) + K 0

B(K + K 0 + )( 2.1 0.9 ) %

136 K + K + 0 137 + 0 B( K + K ) ( 1.1 0.5 ) %138 + B( K + K ) < 7 10 3 CL=90%139 K + K + 0 non- ( 1.5 + 0 .7 0.6 ) %140 K + K 0 + ( 4.0 0.7 ) 10 3141 K 0 K + + ( 5.5 0.8 ) 10 3

142 K (892) + K (892) 0

B2(K (892)+ K 0 + )( 1.2 0.5 ) %

143 K 0 K + + (non-K + K 0) < 7.9 10 3 CL=90%144 K + K + + ( 2.5 1.3 ) 10 4145 K + K + + nonresonant

Fractions of the following modes with resonances have already appearedabove as submodes of particular charged-particle modes.

146 + ( 6.2 0.6 ) 10 3147 + 0 ( 2.3 1.0 ) %148 + < 1.5 % CL=90%

149 +

+

150 K + K (892)0 ( 4.3 0.6 ) 10 3151 K (892) + K 0 ( 3.1 1.4 ) %152 K (892) + K (892) 0 ( 2.6 1.1 ) %

Doubly Cabibbo suppressed (DC ) modes,Doubly Cabibbo suppressed (DC ) modes,Doubly Cabibbo suppressed (DC ) modes,Doubly Cabibbo suppressed (DC ) modes, C = 1 weak neutral current ( C1 ) modes, or C = 1 weak neutral current ( C1 ) modes, or C = 1 weak neutral current ( C1 ) modes, or C = 1 weak neutral current ( C1 ) modes, or

Lepton Family number (LF ) or Lepton number (L) violating modesLepton Family number (LF ) or Lepton number (L) violating modesLepton Family number (LF ) or Lepton number (L) violating modesLepton Family number (LF ) or Lepton number (L) violating modes153 K + + DC ( 7.0 1.5 ) 10 4154 K + 0 DC ( 2.6 1.2 ) 10 4155 K (892) 0 + DC [g ] ( 3.7 1.7 ) 10 4

156 K + +

nonresonant DC ( 2.5 1.2 ) 10 4157 K + K + K DC ( 8.7 2.1 ) 10 5158 K + DC [g ] < 1.3 10 4 CL=90%159 + e + e C1 < 5.2 10 5 CL=90%160 + + C1 < 8.8 10 6 CL=90%161 + + C1 < 5.6 10 4 CL=90%



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162 K + e + e [h] < 2.0 10 4 CL=90%163 K + + [h] < 9.2 10 6 CL=90%164 + e LF [i ] < 3.4 10 5 CL=90%165 + e + 166 + e +167 K + e LF [i ] < 6.8 10 5 CL=90%

168 K + e +

169 K + e +170 e + e + L < 9.6 10 5 CL=90%171 + + L < 4.8 10 6 CL=90%172 e + + L < 5.0 10 5 CL=90%173 + + L < 5.6 10 4 CL=90%174 K e + e + L < 1.2 10 4 CL=90%175 K + + L < 1.3 10 5 CL=90%176 K e + + L < 1.3 10 4 CL=90%177 K (892) + + L < 8.5 10 4 CL=90%

178 A dummy mode used by the t. (31 5 ) %

[a] This is a weighted average of D (44%) and D 0 (56%) branching frac-tions. See D + and D 0 ( anything) / (total D + and D 0) underD + Branching Ratios in these Particle Listings.

[b ] This value averages the e + and + branching fractions, after making asmall phase-space adjustment to the + fraction to be able to use it asan e + fraction; hence our + here is really an e + .

[c ] An indicates an e or a mode, not a sum over these modes.[d ] The branching fraction for this mode may differ from the sum of the

submodes that contribute to it, due to interference effects. See therelevant papers.

[e ] The two experiments measuring this fraction are in serious disagreement.See the Particle Listings.

[f ] This value includes only + decays of the intermediate resonance,because branching fractions of this resonance are not known.

[g ] Unseen decay modes of the resonance are included.[h] This mode is not a useful test for a C=1 weak neutral current because

both quarks must change avor in this decay.

[i ] The value is for the sum of the charge states or particle/antiparticlestates indicated.



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CONSTRAINED FIT INFORMATIONCONSTRAINED FIT INFORMATIONCONSTRAINED FIT INFORMATIONCONSTRAINED FIT INFORMATIONAn overall t to 33 branching ratios uses 58 measurements andone constraint to determine 20 parameters. The overall t has a 2 = 47.9 for 39 degrees of freedom.

The following off-diagonal array elements are the correlation coefficients x i x j /( x i x j ), in percent, from the t to the branching fractions, x i i / total . The t constrains the x i whose labels appear in this array to sum to

one.

x 13 6x 18 6 2x 27 17 33 7x 28 33 13 19 39x 38 38 14 16 42 85x 39 38 15 17 44 88 96x 46 0 0 0 0 0 0 0x 50 9 3 4 10 20 22 23 0x 59 11 4 5 13 27 29 30 0 18x 66 19 8 9 22 45 49 51 0 12 15x 70 13 5 6 15 31 34 35 0 8 11x 82 25 10 11 29 58 63 66 0 15 20x 89 6 2 3 7 14 15 16 0 31 37x 97 3 1 1 4 8 8 9 0 29 13

x 103 7 3 3 8 16 18 19 0 4 6x 104 9 4 4 11 22 24 25 0 6 8

x 120 18 7 8 21 42 46 48 0 11 14x 129 23 9 10 27 54 60 62 0 14 19x 178 37 30 12 42 53 56 58 57 46 46

x 11 x 13 x 18 x 27 x 28 x 38 x 39 x 46 x 50 x 59

x 70 68x 82 34 23x 89 8 5 10x 97 4 3 6 12

x 103 28 19 12 3 2

x 104 34 23 16 4 2 56x 120 88 60 31 7 4 25 30x 129 31 21 40 10 5 11 15 29x 178 32 22 40 46 32 14 17 30 36

x 66 x 70 x 82 x 89 x 97 x 103 x 104 x 120 x 129



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D + BRANCHING RATIOSD + BRANCHING RATIOSD + BRANCHING RATIOSD + BRANCHING RATIOS

See the Note on D Mesons above. Some now-obsolete measurementshave been omitted from these Listings.

c -quark decaysc -quark decaysc -quark decaysc -quark decays

(c e + anything)/( c anything)(c e + anything)/( c anything)(c e + anything)/( c anything)(c e + anything)/( c anything)We only put the average of e + and + measurements from Z 0 c c decays in theSummary Table; see the second data block below.

VALUE EVTS DOCUMENT ID TECN COMMENT

0.103 0.009 +0 .009 0.0080.103 0.009+0 .009 0.0080.103 0.009+0 .009 0.0080.103 0.009+0 .009 0.008 378

3 ABBIENDI 99K OPAL Z 0 c c

3 ABBIENDI 99K uses the excess of right-sign over wrong-sign leptons opposite recon-structed D (2010) + D 0 + decays in Z 0 c c .

(c + anything)/( c anything)(c + anything)/( c anything)(c + anything)/( c anything)(c + anything)/( c anything)We only put the average of e + and + measurements from Z 0 c c decays in theSummary Table; see the next data block.

VALUE EVTS DOCUMENT ID TECN COMMENT 0.088 0.005 OUR AVERAGE0.088 0.005 OUR AVERAGE0.088 0.005 OUR AVERAGE0.088 0.005 OUR AVERAGE0.093 0.009 0.009 88 KAYIS-TOPAK...02 CHRS emulsion

0.095 0.007 +0 .014 0.013 2829 ASTIER 00D NOMD Fe + X

0.090 0.007 +0 .007 0.006 476 4 ABBIENDI 99K OPAL Z 0 c c

0.086 0.017 +0 .008 0.007 69 5 ALBRECHT 92F ARG e + e 10 GeV

0.078 0.009 0.012 ONG 88 MRK2 e + e 29 GeV0.078 0.015 0.02 BARTEL 87 JADE e + e 34.6 GeV

0.082 0.012 +0 .02 0.01 ALTHOFF 84 G TASS e + e 34.5 GeV

We do not use the following data for averages, ts, limits, etc. 0.089 0.018 0.025 BARTEL 85 J JADE See BARTEL 87

4 ABBIENDI 99K uses the excess of right-sign over wrong-sign leptons opposite recon-structed D (2010) + D 0 + decays in Z 0 c c .

5 ALBRECHT 92F uses the excess of right-sign over wrong-sign leptons in a sample of events tagged by fully reconstructed D (2010) + D 0 + decays.

(c + anything)/( c anything)(c + anything)/( c anything)(c + anything)/( c anything)(c + anything)/( c anything)This is an average (not a sum) of e + and + measurements.

VALUE EVTS DOCUMENT ID TECN COMMENT 0.096 0.004 OUR AVERAGE0.096 0.004 OUR AVERAGE0.096 0.004 OUR AVERAGE0.096 0.004 OUR AVERAGE0.0958 0.0042 0.0028 1828 6 ABREU 00O DLPH Z 0 c c

0.095 0.006 +0 .007 0.006 854 7 ABBIENDI 99K OPAL Z 0 c c

6 ABREU 00O uses leptons opposite fully reconstructed D (2010) + , D + , or D 0 mesons.7 ABBIENDI 99K uses the excess of right-sign over wrong-sign leptons opposite recon-

structed D (2010) + D 0 + decays in Z 0 c c .



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(c D (2010) + anything)/( c anything)(c D (2010) + anything)/( c anything)(c D (2010) + anything)/( c anything)(c D (2010) + anything)/( c anything)VALUE EVTS DOCUMENT ID TECN COMMENT

0.255 0.015 0.0080.255 0.015 0.0080.255 0.015 0.0080.255 0.015 0.008 2371 8 ABREU 00O DLPH Z 0 c c 8 ABREU 00O uses slow pions opposite fully reconstructed D (2010) + , D + , or D 0 mesons

as a signal of D (2010) production.

Inclusive modesInclusive modesInclusive modesInclusive modes

e + anything / total 1/ e + anything / total 1/ e + anything / total 1/ e + anything / total 1/VALUE EVTS DOCUMENT ID TECN COMMENT 0.172 0.019 OUR AVERAGE0.172 0.019 OUR AVERAGE0.172 0.019 OUR AVERAGE0.172 0.019 OUR AVERAGE

0.20 +0 .09 0.07 AGUILAR-... 87E HYBR p , p p 360, 400 GeV

0.170 0.019 0.007 158 BALTRUSAIT...85 B MRK3 e + e 3.77 GeV0.168 0.064 23 SCHINDLER 81 MRK2 e + e 3.771 GeV We do not use the following data for averages, ts, limits, etc.

0.220 +0 .044 0.022 BACINO 80 DLCO e + e 3.77 GeV

D + and D 0 (e + anything) / (total D + and D 0)D + and D 0 (e + anything) / (total D + and D 0)D + and D 0 (e + anything) / (total D + and D 0)D + and D 0 (e + anything) / (total D + and D 0)If measured at the (3770), this quantity is a weighted average of D + (44%) and D 0(56%) branching fractions. Only experiments at E cm = 3.77 GeV are included in theaverage here. We dont put this result in the Summary Table.

VALUE EVTS DOCUMENT ID TECN COMMENT 0.110 0.011 OUR AVERAGE0.110 0.011 OUR AVERAGE0.110 0.011 OUR AVERAGE0.110 0.011 OUR AVERAGE Error includes scale factor of 1.1.0.117 0.011 295 BALTRUSAIT...85 B MRK3 e + e 3.77 GeV0.10 0.032 9 SCHINDLER 81 MRK2 e + e 3.771 GeV0.072 0.028 FELLER 78 MRK1 e + e 3.772 GeV We do not use the following data for averages, ts, limits, etc.

0.096 0.004 0.011 2207 10 ALBRECHT 96C ARG e + e 10 GeV0.134 0.015 0.010 11 ABE 93E VNS e + e 58 GeV

0.098 0.009 +0 .006 0.005 240 12 ALBRECHT 92F ARG e + e 10 GeV

0.096 0.007 0.015 13 ONG 88 MRK2 e + e 29 GeV

0.116 +0 .011 0.00913 PAL 86 DLCO e + e 29 GeV

0.091 0.009 0.013 13 AIHARA 85 TPC e + e 29 GeV0.092 0.022 0.040 13 ALTHOFF 84 J TASS e + e 34.6 GeV0.091 0.013 13 KOOP 84 DLCO See PAL 860.08 0.015 14 BACINO 79 DLCO e + e 3.772 GeV

9 Isolates D + and D 0 e + X and weights for relative production (44%56%).10 ALBRECHT 96C uses e in the hemisphere opposite to D + D 0 + events.11 ABE 93E also measures forward-backward asymmetries and fragmentation functions for

c and b quarks.12 ALBRECHT 92F uses the excess of right-sign over wrong-sign leptons in a sample of events tagged by fully reconstructed D (2010) + D 0 + decays.

13 Average BR for charm e + X. Unlike at E cm = 3.77 GeV, the admixture of charmedmesons is unknown.

14 Not independent of BACINO 80 measurements of e + anything / total for the D +

and D 0 separately.



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K anything / total 2/ K anything / total 2/ K anything / total 2/ K anything / total 2/

VALUE EVTS DOCUMENT ID TECN COMMENT 0.275 0.024 OUR AVERAGE0.275 0.024 OUR AVERAGE0.275 0.024 OUR AVERAGE0.275 0.024 OUR AVERAGE

0.278 +0 .036 0.03115 BARLAG 92C ACCM Cu 230 GeV

0.271 0.023 0.024 COFFMAN 91 MRK3 e + e 3.77 GeV We do not use the following data for averages, ts, limits, etc.

0.17 0.07 AGUILAR-... 87E HYBR p , p p 360, 400 GeV0.16 +0 .08 0.07 AGUILAR-... 86B HYBR See AGUILAR-BENITEZ 87 E0.19 0.05 26 SCHINDLER 81 MRK2 e + e 3.771 GeV0.10 0.07 3 VUILLEMIN 78 MRK1 e + e 3.772 GeV

15 BARLAG 92C computes the branching fraction using topological normalization.

K 0 anything + K 0 anything / total 3/ K 0 anything + K 0 anything / total 3/ K 0 anything + K 0 anything / total 3/ K 0 anything + K 0 anything / total 3/VALUE EVTS DOCUMENT ID TECN COMMENT

0.612 0.065 0.0430.612 0.065 0.0430.612 0.065 0.0430.612 0.065 0.043 COFFMAN 91 MRK3 e + e 3.77 GeV We do not use the following data for averages, ts, limits, etc.

0.52 0.18 15 SCHINDLER 81 MRK2 e + e 3.771 GeV0.39 0.29 3 VUILLEMIN 78 MRK1 e + e 3.772 GeV

K + anything / total 4/ K + anything / total 4/ K + anything / total 4/ K + anything / total 4/VALUE EVTS DOCUMENT ID TECN COMMENT

0.055 0.013 0.0090.055 0.013 0.0090.055 0.013 0.0090.055 0.013 0.009 COFFMAN 91 MRK3 e + e 3.77 GeV We do not use the following data for averages, ts, limits, etc.

0.08 +0 .06 0.05 AGUILAR-... 87E HYBR p , p p 360, 400 GeV

0.06 0.04 12 SCHINDLER 81 MRK2 e + e 3.771 GeV0.06 0.06 2 VUILLEMIN 78 MRK1 e + e 3.772 GeV

D + and D 0 ( anything) / (total D + and D 0)D + and D 0 ( anything) / (total D + and D 0)D + and D 0 ( anything) / (total D + and D 0)D + and D 0 ( anything) / (total D + and D 0)If measured at the (3770), this quantity is a weighted average of D + (44%) and D 0(56%) branching fractions. Only the experiment at E cm = 3.77 GeV is used.

VALUE DOCUMENT ID TECN COMMENT

< 0.13< 0.13< 0.13< 0.13 PARTRIDGE 81 CBAL e + e 3.77 GeV We do not use the following data for averages, ts, limits, etc.

< 0.02 16 BRANDELIK 79 DASP e + e 4.03 GeV16 The BRANDELIK 79 result is based on the absence of an signal at E cm = 4.03 GeV.

PARTRIDGE 81 observes a substantially higher cross section at 4 .03 GeV.

anything / total 6/ anything / total 6/ anything / total 6/ anything / total 6/VALUE CL% DOCUMENT ID TECN COMMENT

< 0.018< 0.018< 0.018< 0.018 90 17 BAI 00C BES e + e D D , D D 17 BAI 00C nds the average ( anything) branching fraction for the 4 .03-GeV mix of D +

and D 0 mesons to be (1 .34 0.52 0.12)%.



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e + anything / total 7/ e + anything / total 7/ e + anything / total 7/ e + anything / total 7/VALUE CL% DOCUMENT ID TECN COMMENT

< 0.016< 0.016< 0.016< 0.016 90 BAI 00C BES e + e D D , D D

Leptonic and semileptonic modesLeptonic and semileptonic modesLeptonic and semileptonic modesLeptonic and semileptonic modes

+ / total 9/ + / total 9/ + / total 9/ + / total 9/See the Note on Pseudoscalar-Meson Decay Constants in the Listings for the .

VALUE CL% EVTS DOCUMENT ID TECN COMMENT

0.0008 +0 .0016 0.0005+0 .0005 0.00020.0008

+0 .0016 0.0005

+0 .0005 0.00020.0008

+0 .0016 0.0005

+0 .0005 0.00020.0008

+0 .0016 0.0005

+0 .0005 0.0002 1

18 BAI 98B BES e + e D + D

We do not use the following data for averages, ts, limits, etc.

< 0.00072 90 ADLER 88B MRK3 e + e 3.77 GeV< 0.02 90 0 19 AUBERT 83 SPEC + Fe, 250 GeV18 BAI 98B obtains f D = (300

+180 150

+80 40) MeV from this measurement.

19 AUBERT 83 obtains an upper limit 0.014 assuming the nal state contains equal amountsof (D + ,D ), ( D + ,D 0), ( D ,D 0), and ( D 0,D 0). We quote the limit they get undermore general assumptions.

K 0 +

/ total 10/ K 0 +

/ total 10/ K 0 +

/ total 10/ K 0 +

/ total 10/We average our K 0 e + e and K

0 + branching fractions, after multiplying the

latter by a phase-space factor of 1 .03 to be able to use it with the K 0 e + e fraction.Hence our + here is really an e + .

VALUE DOCUMENT ID COMMENT 0.068 0.008 OUR AVERAGE0.068 0.008 OUR AVERAGE0.068 0.008 OUR AVERAGE0.068 0.008 OUR AVERAGE0.067 0.009 PDG 04 Our ( K 0 e + e )/ total0.072 +0 .031 0.021 PDG 04 1.03 our (K

0 + )/ total

K 0 e + e / total 11 / K 0 e + e / total 11 / K 0 e + e / total 11 / K 0 e + e / total 11 /VALUE EVTS DOCUMENT ID TECN COMMENT

0.067 0.009 OUR FIT0.067

0.009 OUR FIT0.067 0.009 OUR FIT0.067

0.009 OUR FIT0.06 +0 .022 0.013 0.0070.06

+0 .022 0.013 0.0070.06

+0 .022 0.013 0.0070.06

+0 .022 0.013 0.007 13 BAI 91 MRK3 e

+ e 3.77 GeV

K 0 e + e / K 0 + 11 / 38 K 0 e + e / K 0 + 11 / 38 K 0 e + e / K 0 + 11 / 38 K 0 e + e / K 0 + 11 / 38VALUE EVTS DOCUMENT ID TECN COMMENT 2.37 0.31 OUR FIT2.37 0.31 OUR FIT2.37 0.31 OUR FIT2.37 0.31 OUR FIT2.60 0.35 0.262.60 0.35 0.262.60 0.35 0.262.60 0.35 0.26 186 20 BEAN 93C CLE2 e + e (4S )

20 BEAN 93C uses K 0 + as well as K 0 e + e events and makes a small phase-space

adjustment to the number of the + events to use them as e + events.

K 0 e + e / K + + 11 / 39 K 0 e + e / K + + 11 / 39 K 0 e + e / K + + 11 / 39 K 0 e + e / K + + 11 / 39VALUE DOCUMENT ID TECN COMMENT 0.72 0.09 OUR FIT0.72 0.09 OUR FIT0.72 0.09 OUR FIT0.72 0.09 OUR FIT0.66 0.09 0.140.66 0.09 0.140.66 0.09 0.140.66 0.09 0.14 ANJOS 91 C E691 Be 80240 GeV

K 0 + / total 12/ K 0 + / total 12/ K 0 + / total 12/ K 0 + / total 12/VALUE EVTS DOCUMENT ID TECN COMMENT

0.07 +0 .028 0.016 0.0120.07 +0 .028 0.016 0.0120.07

+0 .028 0.016 0.0120.07

+0 .028 0.016 0.012 14 BAI 91 MRK3 e

+ e 3.77 GeV



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K 0 + / + anything 12/ 8 K 0 + / + anything 12/ 8 K 0 + / + anything 12 / 8 K 0 + / + anything 12 / 8VALUE EVTS DOCUMENT ID COMMENT


0.76 0.06 84 21 AOKI 88 emulsion21 From topological branching ratios in emulsion with an identied muon.

K + e + e / total 13/ K + e + e / total 13/ K + e + e / total 13/ K + e + e / total 13/

VALUE CL% EVTS DOCUMENT ID TECN COMMENT

0.045 +0 .010 0.008 OUR FIT0.045+0 .010 0.008 OUR FIT0.045+0 .010 0.008 OUR FIT0.045+0 .010 0.008 OUR FIT Error includes scale factor of 1.1.

0.035 +0 .012 0.007 0.0040.035+0 .012 0.007 0.0040.035+0 .012 0.007 0.0040.035+0 .012 0.007 0.004 14

22 BAI 91 MRK3 e + e 3.77GeV


< 0.057 90 23 AGUILAR-... 87F HYBR p , p p 360, 400GeV

22 BAI 91 nds that a fraction 0 .79+0 .15 0.17+0 .09 0.03 of combined D

+ and D 0 decays to

K e + e (24 events) are K (892) e + e .

23 AGUILAR-BENITEZ 87F computes the branching fraction using topological normaliza-tion.

K (892) 0 + / total 26/ K (892) 0 + / total 26/ K (892) 0 + / total 26/ K (892) 0 + / total 26/We average our K 0 e + e and K

0 + branching fractions, after multiplying the

latter by a phase-space factor of 1 .05 to be able to use it with the K 0 e + e fraction.Hence our + here is really an e + .

VALUE DOCUMENT ID COMMENT 0.0573 0.0035 OUR AVERAGE0.0573 0.0035 OUR AVERAGE0.0573 0.0035 OUR AVERAGE0.0573 0.0035 OUR AVERAGE0.055 0.007 PDG 04 Our ( K 0 e + e )/ total0.058 0.004 PDG 04 1 .05 our (K 0 + )/ total

K (892) 0 e + e / K + e + e 27/ 13 K (892) 0 e + e / K + e + e 27/ 13 K (892) 0 e + e / K + e + e 27 / 13 K (892) 0 e + e / K + e + e 27 / 13Unseen decay modes of the K (892) 0 are included. See the end of the D + Listings

for measurements of D + K (892) 0 + form-factor ratios.


1.23 +0 .23 0.26 OUR FIT1.23+0 .23 0.26 OUR FIT1.23+0 .23 0.26 OUR FIT1.23+0 .23 0.26 OUR FIT Error includes scale factor of 1.1.

1.0 0.31.0 0.31.0 0.31.0 0.3 35 ADAMOVICH 91 OMEG 340 GeV

K (892) 0 e + e / K + + 27/ 39 K (892) 0 e + e / K + + 27/ 39 K (892) 0 e + e / K + + 27 / 39 K (892) 0 e + e / K + + 27 / 39Unseen decay modes of the K (892) 0 are included. See the end of the D + Listingsfor measurements of D + K (892) 0 + form-factor ratios.

VALUE EVTS DOCUMENT ID TECN COMMENT 0.60 0.07 OUR FIT0.60 0.07 OUR FIT0.60 0.07 OUR FIT0.60 0.07 OUR FIT Error includes scale factor of 1.8.

0.61 0.07 OUR AVERAGE0.61 0.07 OUR AVERAGE0.61 0.07 OUR AVERAGE0.61 0.07 OUR AVERAGE Error includes scale factor of 1.6. See the ideogram below.0.74 0.04 0.05 BRANDENB... 02 CLE2 e + e (4S )0.62 0.15 0.09 35 ADAMOVICH 91 OMEG 340 GeV0.55 0.08 0.10 880 ALBRECHT 91 ARG e + e 10.4 GeV0.49 0.04 0.05 ANJOS 89 B E691 Photoproduction We do not use the following data for averages, ts, limits, etc. 0.67 0.09 0.07 710 24 BEAN 93C CLE2 See BRANDENBURG 02



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24 BEAN 93C uses K 0 + as well as K 0 e + e events and makes a small phase-space

adjustment to the number of the + events to use them as e + events.

WEIGHTED AVERAGE0.61 0.07 (Error scaled by 1.6)

Values above of weighted average, error,

and scale factor are based upon the data inthis ideogram only. They are not neces-sarily the same as our best values,obtained from a least-squares constrained fitutilizing measurements of other (related)quantities as additional information.

ANJOS 89B E691 3.4ALBRECHT 91 ARG 0.2

ADAMOVICH 91 OMEG 0.0BRANDENB... 02 CLE2 4.2

2

7.9(Confidence Level = 0.049)

0.2 0.4 0.6 0.8 1 1.2

K (892) 0 e + e / K + +

K + e + e nonresonant / total 15/ K + e + e nonresonant / total 15/ K + e + e nonresonant / total 15/ K + e + e nonresonant / total 15/

VALUE CL% DOCUMENT ID TECN COMMENT

< 0.007< 0.007< 0.007< 0.007 90 25 ANJOS 89 B E691 Photoproduction25

ANJOS 89 B assumes a ( D +

K

+

+

)/ total = 9 .1 1.3 0.4%.

K + + / total 16/ = ( 18+ 23 28)/ K + + / total 16/ = ( 18+ 23 28)/ K + + / total 16 /= ( 18+ 23 28)/ K + + / total 16 /= ( 18+ 23 28)/The value here is calculated from 23 B(K

(892) 0 + ) + B( K + + nonreso-

nant).VALUE DOCUMENT ID 0.0400 0.0032 OUR FIT0.0400 0.0032 OUR FIT0.0400 0.0032 OUR FIT0.0400 0.0032 OUR FIT

K (892) 0 + / total 28/ K (892) 0 + / total 28/ K (892) 0 + / total 28/ K (892) 0 + / total 28/Unseen decay modes of the K (892) 0 are included. See the end of the D + Listingsfor measurements of D + K (892) 0 + form-factor ratios.



0.0325 0.0071 0.0075 224 26 KODAMA 92C E653 emulsion 600 GeV26 KODAMA 92C measures ( D + K 0 + )/( D

0 K + ) = 0 .43 0.09

0.09 and then uses ( D 0 K + ) = (7 .0 0.7) 1010 s 1 to get the quoted

branching fraction. See also the footnote to KODAMA 92 C in the next data block.



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K 1(1270) 0 + / K (892) 0 + 29/ 28 K 1(1270) 0 + / K (892) 0 + 29/ 28 K 1(1270) 0 + / K (892) 0 + 29 / 28 K 1(1270) 0 + / K (892) 0 + 29 / 28


< 0.78< 0.78< 0.78< 0.78 95 ABE 99P CDF p p 1.8 TeV

K (1410) 0 + / K (892) 0 + 30/ 28 K (1410) 0 + / K (892) 0 + 30/ 28 K (1410) 0 + / K (892) 0 + 30 / 28 K (1410) 0 + / K (892) 0 + 30 / 28



< 0.60 95 ABE 99P CDF p p 1.8 TeV

K 2(1430)0 + / K (892) 0 + 31/ 28 K

2(1430)0 + / K (892) 0 + 31/ 28 K 2(1430)0 + / K (892) 0 + 31 / 28 K

2(1430)0 + / K (892) 0 + 31 / 28


< 0.19< 0.19< 0.19< 0.19 95 ABE 99P CDF p p 1.8 TeV

0 + / K 0 + 24/ 10 0 + / K 0 + 24/ 10 0 + / K 0 + 24 / 10 0 + / K 0 + 24 / 10VALUE EVTS DOCUMENT ID TECN COMMENT

0.046 0.014 0.0170.046 0.014 0.0170.046 0.014 0.0170.046 0.014 0.017 100 31 BARTELT 97 CLE2 e + e (4S ) We do not use the following data for averages, ts, limits, etc.

0.085 0.027 0.014 53 32 ALAM 93 CLE2 See BARTELT 9731 BARTELT 97 thus directly measures the product of ratios squared of CKM matrix ele-

ments and form factors at q 2=0: V cd / V cs 2 f + (0)/ f K + (0)

2 = 0 .046 0.014 0.017.

32 ALAM 93 thus directly measures the product of ratios squared of CKM matrix elementsand form factors at q 2=0: V cd / V cs

2 f + (0)/ f K + (0)

2 = 0 .085 0.027 0.014.

+ e + e / total 25/ + e + e / total 25/ + e + e / total 25/ + e + e / total 25/



< 0.057 90 33 AGUILAR-... 87F HYBR p , p p 360, 400 GeV33 AGUILAR-BENITEZ 87F computes the branching fraction using topological normaliza-

tion.

0 e + e / total 32/ 0 e + e / total 32/ 0 e + e / total 32/ 0 e + e / total 32/VALUE CL% DOCUMENT ID TECN COMMENT


< 0.0037 90 BAI 91 MRK3 e + e 3.77 GeV

0 e + e / K (892) 0 e + e 32/ 27 0 e + e / K (892) 0 e + e 32/ 27 0 e + e / K (892)0 e + e 32 / 27 0 e + e / K (892)0 e + e 32 / 27VALUE EVTS DOCUMENT ID TECN COMMENT

0.045 0.014 0.0090.045 0.014 0.0090.045 0.014 0.0090.045 0.014 0.009 49 34 AITALA 97 E791 nucleus, 500 GeV34 AITALA 97 explicitly subtracts D + e + e and other backgrounds to get this result.

0 + / K (892) 0 + 33/ 28 0 + / K (892) 0 + 33/ 28 0 + / K (892) 0 + 33 / 28 0 + / K (892) 0 + 33 / 28VALUE EVTS DOCUMENT ID TECN COMMENT 0.061 0.014 OUR AVERAGE0.061 0.014 OUR AVERAGE0.061 0.014 OUR AVERAGE0.061 0.014 OUR AVERAGE0.051 0.015 0.009 54 35 AITALA 97 E791 nucleus, 500 GeV0.079 0.019 0.013 39 36 FRABETTI 97 E687 Be, E 220 GeV We do not use the following data for averages, ts, limits, etc.

0.044 +0 .031 0.025 0.014 4 37 KODAMA 93C E653 emulsion 600 GeV



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35 AITALA 97 explicitly subtracts D + + and other backgrounds to get thisresult.36 Because the reconstruction efficiency for photons is low, this FRABETTI 97 result alsoincludes any D + +

0 + events in the numerator.37 This KODAMA 93 C result is based on a nal signal of 4 .0+2 .8 2.3 1.3 events; the estimates

of backgrounds that affect this number are somewhat model dependent.

e + e / total 34/ e + e / total 34/ e + e / total 34/ e + e / total 34/Decay modes of the not included in the search are corrected for.


< 0.0209< 0.0209< 0.0209< 0.0209 90 BAI 91 MRK3 e + e 3.77 GeV

+ / total 35/ + / total 35/ + / total 35/ + / total 35/Decay modes of the not included in the search are corrected for.


< 0.0372< 0.0372< 0.0372< 0.0372 90 BAI 91 MRK3 e + e 3.77 GeV

+ / 0 + 36/ 24 + / 0 + 36/ 24 + / 0 + 36 / 24 + / 0 + 36 / 24VALUE CL% DOCUMENT ID TECN COMMENT

< 1.5< 1.5< 1.5< 1.5 90 BARTELT 97 CLE2 e + e (4S )

(958) + / K (892) 0 + 37/ 28 (958) + / K (892) 0 + 37/ 28 (958) + / K (892) 0 + 37 / 28 (958) + / K (892) 0 + 37 / 28Decay modes of the (958) not included in the search are corrected for.


< 0.20< 0.20< 0.20< 0.20 90 KODAMA 93B E653 emulsion 600 GeV

Hadronic modes with a K or K K K Hadronic modes with a K or K K K Hadronic modes with a K or K K K Hadronic modes with a K or K K K

K 0 + / total 38/ K 0 + / total 38/ K 0 + / total 38/ K 0 + / total 38/VALUE EVTS DOCUMENT ID TECN COMMENT 0.0282 0.0019 OUR FIT0.0282 0.0019 OUR FIT0.0282 0.0019 OUR FIT0.0282 0.0019 OUR FIT0.032 0.004 OUR AVERAGE0.032 0.004 OUR AVERAGE0.032 0.004 OUR AVERAGE0.032 0.004 OUR AVERAGE0.032 0.005 0.002 161 ADLER 88C MRK3 e + e 3.77 GeV

0.033 0.009 36 38 SCHINDLER 81 MRK2 e + e

3.771 GeV0.033 0.013 17 39 PERUZZI 77 MRK1 e + e 3.77 GeV

38 SCHINDLER 81 (MARK-2) measures (e + e (3770)) branching fraction to be0.14 0.03 nb. We use the MARK-3 (ADLER 88 C) value of = 4 .2 0.6 0.3 nb.

39 PERUZZI 77 (MARK-1) measures (e + e (3770)) branching fraction to be0.14 0.05 nb. We use the MARK-3 (ADLER 88 C) value of = 4 .2 0.6 0.3 nb.

K 0 + / K + + 38/ 39 K 0 + / K + + 38/ 39 K 0 + / K + + 38 / 39 K 0 + / K + + 38 / 39It is generally assumed for modes such as D + K 0 + that

(D + K 0 + ) = 2( D + K 0S + );

it is the latter that is actually measured. BIGI 95 points out that interference betweenCabibbo-allowed and doubly Cabibbo-suppressed amplitudes, where both occur, couldinvalidate this assumption by a few percent.

VALUE EVTS DOCUMENT ID TECN COMMENT 0.306 0.006 OUR FIT0.306 0.006 OUR FIT0.306 0.006 OUR FIT0.306 0.006 OUR FIT0.307 0.005 OUR AVERAGE0.307 0.005 OUR AVERAGE0.307 0.005 OUR AVERAGE0.307 0.005 OUR AVERAGE0.3060 0.0046 0.0032 10.6k LINK 02B FOCS nucleus, E 180

GeV0.348 0.024 0.022 473 40 BISHAI 97 CLE2 e + e (4S )0.274 0.030 0.031 264 ANJOS 90 C E691 Photoproduction



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40 See BISHAI 97 for an isospin analysis of D + K amplitudes.

K + + / total 39/ K + + / total 39/ K + + / total 39/ K + + / total 39/

VALUE EVTS DOCUMENT ID TECN COMMENT 0.092 0.006 OUR FIT0.092 0.006 OUR FIT0.092 0.006 OUR FIT0.092 0.006 OUR FIT0.091 0.007 OUR AVERAGE0.091 0.007 OUR AVERAGE0.091 0.007 OUR AVERAGE0.091 0.007 OUR AVERAGE0.093 0.006 0.008 1502 41 BALEST 94 CLE2 e + e (4S )0.091 0.013 0.004 1164 ADLER 88C MRK3 e + e 3.77 GeV0.091 0.019 239 42 SCHINDLER 81 MRK2 e + e 3.771 GeV0.086 0.020 85 43 PERUZZI 77 MRK1 e + e 3.77 GeV We do not use the following data for averages, ts, limits, etc.


0.063 +0 .028 0.014 0.011 8 44 AGUILAR-... 87F HYBR p , p p 360, 400 GeV

41 BALEST 94 measures the ratio of D + K + + and D 0 K + branchingfractions to be 2 .35 0.16 0.16 and uses their absolute measurement of the D 0 K + fraction (AKERIB 93).


43 PERUZZI 77 (MARK-1) measures (e + e (3770)) branching fraction to be0.36 0.06 nb. We use the MARK-3 (ADLER 88 C) value of = 4 .2 0.6 0.3 nb.

44 AGUILAR-BENITEZ 87F and BARLAG 92C compute the branching fraction by topolog-ical normalization.

REVIEW OF CHARM DALITZ-PLOT ANALYSES

Written November 2003 by D. Asner (University of Pittsburgh)

Weak nonleptonic decays of charm mesons are expectedto proceed dominantly through resonant two-body decays in

several theoretical models [1]. The Dalitz-plot analysis tech-nique [2,3] has been applied to the decays D rc , r abwhere the decay products a, b, and c are K or and theintermediate state r is a scalar, vector, or tensor meson. Ta-ble 1 lists published analyses of D K , , KK ,and KKK decays. The analyses include studies of dou-bly Cabibbo-suppressed decays [4,5], searches for CP violation

[58], properties of established light mesons [911], and prop-erties of [4,11,12] and K [13] S-wave states. Future studiescould improve sensitivity to D0 D 0 mixing [14].

The amplitude of the process, D rc,r ab, is given bythe product of three factors: the angular distributions [15,16] of



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nal-state particles, the barrier form factors [17,18] for the pro-duction of rc and ab, respectively, and the dynamical functiondescribing the resonance r . Usually r is modeled with a Breit-Wigner, and the nonresonant contribution is parameterized asan S-wave with no variation in magnitude or phase across theDalitz plot. Some more recent analyses have used the K -matrixformalism [19] with the P -vector approximation [20] to describethe S-wave.

In the following, we discuss a number of subjects of currentinterest.

Table 1: Reported Dalitz Plot Analyses.

Decay Experiment(s)

D 0 K 0S + Mark II [21], Mark III [22], E691 [24],

E687 [23,26], ARGUS[25], CLEO[4]D 0 K + 0 Mark III [22], E687[26], E691 [24],

CLEO[6]D 0 K

0K + BABAR [27]

D 0 K 0 K + BABAR [27]D 0 + 0 CLEO[8]D 0 K 0S K

+ K BABAR [27]D + K + + Mark III [22], E687[26], E691 [24],

E791 [13]D + K

0+ 0 Mark III [22]

D + + + E687 [9], E791 [12], FOCUS [11]D + K + K + FOCUS [29], E687[30]D +s K

+ K + E687 [30], FOCUS[29]

D+s

+

+

E687 [9], E791 [10], FOCUS [11]



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D 0 K 0S

+ Several experiments have analyzed thedecay D0 K 0S

+ . The earliest analyses, by Mark II [21],Mark III [22], and E687 [23], assumed only two intermedi-ate resonances, K 0S

0 , K (892) + , and a signicant nonres-onant component. Additional resonances were considered byE691 [24] but were not found to be statistically signicant.ARGUS [25] and E687 [26], with more events, t the Dalitz plotwith six intermediate resonances: K (892) + , K 0 (1430)

+ ,K 0S

0 , K 0S f 0 (975), K 0S f 2 (1270), and K

0S f 0 (1400). The nonres-

onant contribution was negligible. The early and later E687results [23, 26] were consistent under similar assumptions.The most precise results are from CLEO [4], which includes

three additional resonances: K 0S , K

(1680)

+

and the dou-bly Cabibbo-suppressed K (892)+ . They nd a much smallernonresonant contribution than did the earliest experiments.

It is not straightforward to compare or combine resultsusing different descriptions of the angular distributions, barrierfactors, resonant parametrizations, and different sets of reso-nances. Some of the earlier results [2224], did not includebarrier factors [17, 18]. Most of the earlier results [2224, 26]used the Zemach formalism [15] to describe the angular shapeof the decay pattern, while the more recent results [25, 4] usethe helicity formalism [16].

The signicance of the nonresonant component in thesmaller data samples has been attributed to the presence of the broad scalar resonances K 0 (1430)

and f 0 (1370) that werelater observed in the larger data samples. The observation of

a small but signicant nonresonant component in the largestdata samples suggests the presence of additional broad scalarresonances, the (800) and (500). The CLEO analysis couldaccomodate the (500) in lieu of the nonresonant component,but found no evidence for the (800).



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D 0 + 0 and D 0 K 0

K + K The only signi-cant contribution to the resonant substructure of D 0 + 0

is in the channels. A small nonresonant component is ob-served but all other resonances, including the (500),yielded t fractions consistent with zero. The CLEO [8] resultsfor D0 + 0 are given in Table 2.

Table 2: Dalitz t results of D0 + 0 .

Resonance Amplitude Phase( ) Fit fraction(%)

+ 1. (xed) 0. (xed) 76.5 1.8 4.80 0.56 0.02 0.07 10 3 3 23.9 1.8 4.6 0.65 0.03 0.04 4 3 4 32.3 2.1 2.2

nonresonant 1 .03 0.17 0.31 77 8 11 2.7 0.9 1.7

The BABAR [27] results for D0 K 0K + K are given

in Table 3. The nonresonant substructure in K + K issignicant. Resonant contributions from a0 (980)0 , a0 (980)+ ,and f 0 (980) are observed. The nonresonant and the doublyCabibbo-suppressed contributions are consistent with zero.

Table 3: Dalitz t results of D0 K 0K + K .

Resonance Phase( ) Fit fraction(%)

K 0 0. (xed) 45.4 1.6 1.0

K 0a0 (980) 109 5 60.9 7.5 13.3

K 0f 0 (980) 161 14 12.2 3.1 8.6

a0 (980)+ K 53 4 34.3 3.2 6.8

a0 (980)

K + 13 15 3.2 1.9 0.5nonresonant 40 44 0.4 0.3 0.8



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Table 4: Parameters of the (500) resonance.The amplitude and phase are relative to the(770).

Experiment E791 [12] CLEO [4] FOCUS [11]

Decay Mode D+

+

+

D0

K 0S

+

D+

+

+

Amplitude 1 .17 0.13 0.06 0.57 0.13 Phase( ) 205.7 8.0 5.2 214 11 200 31m(MeV/c 2 ) 478+24 23 17 513 32 443 27(MeV/c 2 ) 324+42 40 21 335 67 443 80

Table 4 gives the parameters of the (500) determined incharm Dalitz plot analyses. A consistent relative phase betweenthe (500) and (770) resonances is observed.

D + K + + : a (800) ? Indication of a broad Kscalar intermediate resonance has been reported by E791 inthe decay D+ K + + [13]. Fitting the Dalitz plot withK

(892)0 + , K

0 (1430)0 + , K

2 (1430)0 + , and K

(1680)0 + ,plus a constant nonresonant component, E791 nds resultsconsistent with earlier results from E691 and E687 with anonresonant t fraction of over 90%. Having reconstructedmore events than the other experiments, E791 was led toinclude an extra low-mass S-wave K resonance to account forthe poor t already seen by earlier experiments: A (800) withm = 797 19 43 MeV/ c2 and = 410 43 87 MeV/ c2 muchimproved the ts. The (800) is now the dominant resonanceand the nonresonant t fraction is reduced from 90 .9 2.6%

to 13.0 5.8 4.4%. As discussed with the (500), the K

+

S-wave result could be affected by modeling the dynamics of the I = 2 + + interaction.

E791 also modeled the K S-wave phase variation as afunction of K mass with the K 0 (1430) resonance only and



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a nonresonant component following the parameterization of LASS [33]. It was necessary to relax the unitarity constraintto describe the E791 data [34]. The K S-wave phase behaviorin this model is consistent with the model that includes the resonance.

CLEO allowed scalar K resonances in the t to D0 K + 0 [6] and D0 K 0S

+ [4] and observed a signi-cant contribution for only K 0 (1430) [35]. BABAR has analyzedthe decay D0 K 0 K + and D0 K

0K + [27]. They

t the former Dalitz plot with both positively charged andneutral K

(892), K

0 (1430), K

2 (1430), K

(1680) and a0 (980) ,a0 (1450) , a2 (1310) resonances, and a nonresonant compo-

nent. The second Dalitz plot is t with the identical resonancesexcept for the a2 (1310) . A good t is obtained in both caseswithout including the .

f 0 (980) , f 0 (1370) and f 0 (1500) The proximity of theKK threshold requires a coupled-channel or Flatte parametriza-tion [36] of the f 0 (980) in charm Dalitz-plot analyses. Thewidth of the f 0 (980) is poorly known. E791 used a coupled-

channel Breit-Wigner function, following the parametrization of Ref. [37], to describe the f 0 (980) in D+s + + [10], and

measured mr = 977 3 2 MeV/ c2 , g = 0.09 0.01 0.01,and gKK = 0.02 0.04 0.03. Results similar to these aredesirable for input to the analysis of the D +s K

+ K + [29],which includes the f 0 (980) and a0 (980).

The quark content of the f 0 (1370) and f 0 (1500) can perhapsbe inferred from how they populate various Dalitz plots. The

E791 analysis of D+ + + [12] nds a contribution fromthe f 0 (1370) but not the f 0 (1500). The FOCUS analysis [11]of this decay does not nd a signicant contribution from thef 0 (1370). For the D+s

+ + , E687 [9] and FOCUS [11]



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do not see the f 0 (1370) but do see a resonance with parameterssimilar to the f 0 (1500), while E791 [10] observes a resonance(m = 1434 18 9 MeV/ c2 and = 172 32 6 MeV/ c2 )that is not consistent with either meson. BABAR has foundno evidence for either the f 0 (1370) or the f 0 (1500) in D0 K 0 K + K [27], while CLEO has observed the f 0 (1370) in D 0 K 0S

+ [4]. Future analyses will present a clearer picture onlyif the same resonances and model of decay amplitudes areapplied to all Dalitz-plot ts.

Doubly Cabibbo-Suppressed Decays There are twoclasses of multibody doubly Cabibbo-suppressed (DCS) de-cays of charm mesons. The rst consists of those in which the

DCS and corresponding Cabbibo-favored (CF) decays pop-ulate distinct Dalitz plots: the pairs D0 K + 0 andD 0 K + 0 , or D+ K + + and D+ K + + ,

are examples. CLEO [5] has reported B (D 0 K + 0 )B (D 0 K + 0 )

=

(0.43+0 .11 0 .10 0.07)%.The second class consists of decays where the DCS and

CF modes populate the same Dalitz plot: for example, D0 K + and D0 K + both contribute to D0 K 0S + .In this case, the potential for interference of DCS and CFamplitudes increases the sensitivity to the DCS amplitude.CLEO [4] has reported the relative amplitudes and phases to be(7.1 1.3+2 .6 +2 .6 0 .6 0 .6 )% and (189 10 3

+15 5 )

, respectively, corre-

sponding to B (D 0 K (892)+ )B (D 0 K (892) + )

= (0 .5 0.2+0 .5 0 .1+0 .4 0 .1 )%.

CP Violation In the limit of CP conservation, chargeconjugate decays will have the same Dalitz-plot distribution.The D tag enables the discrimination between D0 and D

0.



26/55


27/55


F. Buccella, M. Lusignoli and A. Pugliese, Phys. Lett.B379 , 249 (1996).

2. R. H. Dalitz, Phil. Mag. 44, 1068 (1953).3. See the note on Kinematics in this Review .4. H. Muramatsu et al. (CLEO Collab.), Phys. Rev. Lett.

89 , 251802 (2002); erratum, Phys. Rev. Lett. 90, 059901(2003).

5. G. Brandenburg et al. (CLEO Collab.), Phys. Rev. Lett.87 , 071802 (2001).

6. S. Kopp et al. (CLEO Collab.), Phys. Rev. D63 , 092001(2001).

7. D. M. Asner et al. (CLEO Collab.), Phys. Rev. D70 ,091101, (2004).

8. V. V. Frolov et al. (CLEO Collab.), hep-ex/0306048 ,contributed to the International Europhysics Conferenceon High Energy Physics (EPS 2003).

9. P. L. Frabetti et al. (E687 Collab.), Phys. Lett. B407 , 79(1997).

10. E. M. Aitala et al. (E791 Collab.), Phys. Rev. Lett. 86,765 (2001).

11. S. Malvezzi, hep-ex/0307055 , contributed to the HighEnergy Physics Workshop on Scalar Mesons, 2003;J.M. Link et al. (FOCUS Collab.), Phys. Lett. B (submit-ted), hep-ex/0312040 .



14. See the note on D 0 D 0 Mixing in this Review ; Dalitzanalysis of the wrong sign rate D 0 K + 0 [5] and the

time dependence of Dalitz analysis of D0

K 0

S +

[4]are two candidate processes.15. C. Zemach, Phys. Rev. B133 , 1201 (1964);

C. Zemach, Phys. Rev. B140 , 97 (1965).16. S. U. Chung, Phys. Rev. D48 , 1225, (1993);



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J. D. Richman, CALT-68-1148.17. J. Blatt and V. Weisskopf, Theoretical Nuclear Physics ,

New York: John Wiley & Sons (1952).18. F. von Hippel and C. Quigg, Phys. Rev. D5 , 624, (1972).19. S.U. Chung et al. , Ann. Phys. 4, 404 (1995).

20. I.J.R. Aitchison, Nucl. Phys. A189 , 417 (1972).21. R. H. Schindler et al. (Mark II Collab.), Phys. Rev. D28 ,78 (1981).

22. J. Adler et al. (Mark III Collab.), Phys. Lett. B196 , 107(1987).

23. P.L. Frabetti et al. (E687 Collab.), Phys. Lett. B286 , 195(1992).

24. J.C. Anjos et al. (E691 Collab.), Phys. Rev. D48 , 56(1993).

25. H. Albecht et al. (ARGUS Collab.), Phys. Lett. B308 ,435 (1993).

26. P.L. Frabetti et al. (E687 Collab.), Phys. Lett. B331 , 217(1994).

27. B. Aubert et al. (BABAR Collab.), hep-ex/0207089 ; con-tributed to the 31st International Conference on HighEnergy Physics (ICHEP 2002).

28. A. Giri et al. , Phys. Rev. D68 , 054018 (2003).

29. S. Malvezzi, AIP Conf. Proc. 549 , 569 (2002).30. P. L. Frabetti et al. (E687 Collab.), Phys. Lett. B351 , 591(1995).

31. W. Hoogland et al. , Nucl. Phys. B69 , 266 (1974).32. I. Bediaga (E791 Collab.), hep-ex/0307008 ; contributed

to the High Energy Physics Workshop on Scalar Mesons,2003.

33. D. Aston et al. (LASS Collab.), Nucl. Phys. B296 , 493(1988).

34. C. Gobel (E791 Collab.), hep-ex/0307003 .35. See the note on Scalar Mesons in this Review .36. S. M. Flatte, Phys. Lett. B63 , 224 (1976).37. T. A. Armstrong et al. (WA76 Collab.), Z. Phys. C51 , 351

(1991).



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K 0(800)0 + / K + + 81/ 39 K 0(800)0 + / K + + 81/ 39 K 0(800)0 + / K + + 81 / 39 K 0(800)0 + / K + + 81 / 39

The K 0(800) is a broad scalar resonance that may not exist and is not included inthe Summary Tables. AITALA 02 nds that including such a resonance in the t tothe D + K + + Dalitz plot greatly improves the t. However, the results of AITALA 02 for the D + K + + Dalitz plot analysis so disagree with earlieranalyses that averaging the results makes no sense. For now, we exclude AITALA 02from the average.

VALUE DOCUMENT ID TECN COMMENT We do not use the following data for averages, ts, limits, etc.

0.478 0.121 0.053 AITALA 02 E791 nucleus, 500 GeV

K (892) 0 + / K + + 82/ 39 K (892) 0 + / K + + 82/ 39 K (892) 0 + / K + + 82 / 39 K (892) 0 + / K + + 82 / 39Unseen decay modes of the K (892) 0 are included.

VALUE DOCUMENT ID TECN COMMENT 0.212 0.016 OUR FIT0.212 0.016 OUR FIT0.212 0.016 OUR FIT0.212 0.016 OUR FIT0.210 0.015 OUR AVERAGE0.210 0.015 OUR AVERAGE0.210 0.015 OUR AVERAGE0.210 0.015 OUR AVERAGE0.206 0.009 0.014 FRABETTI 94 G E687 Be, E 220 GeV0.255 0.014 0.050 ANJOS 93 E691 Be 90260 GeV0.21 0.06 0.06 ALVAREZ 91B NA14 Photoproduction0.20 0.02 0.11 ADLER 87 MRK3 e + e 3.77 GeV We do not use the following data for averages, ts, limits, etc.

0.185 0.015 0.014 45 AITALA 02 E791 nucleus, 500 GeV45 AITALA 02 includes a broad scalar K 0(800) in the t to the D

+ K + + Dalitzplot. This (a) greatly improves the t, and (b) gives results in other channels that greatlydisagree with previous analyses. The disagreement is so large that it makes no sense toaverage the results with those of earlier experiments. For now, we exclude AITALA 02from the average.

K 0(1430)0 + / K + + 91/ 39 K 0(1430)0 + / K + + 91/ 39 K 0(1430)0 + / K + + 91 / 39 K 0(1430)0 + / K + + 91 / 39

Unseen decay modes of the K 0(1430)0 are included.

VALUE DOCUMENT ID TECN COMMENT 0.41 0.04 OUR AVERAGE0.41 0.04 OUR AVERAGE0.41 0.04 OUR AVERAGE0.41 0.04 OUR AVERAGE0.458 0.035 0.094 FRABETTI 94 G E687 Be, E 220 GeV0.400 0.031 0.027 ANJOS 93 E691 Be 90260 GeV We do not use the following data for averages, ts, limits, etc.



K 2(1430) 0 + / K + + 92/ 39 K 2(1430) 0 + / K + + 92/ 39 K 2(1430) 0 + / K + + 92 / 39 K 2(1430) 0 + / K + + 92 / 39Unseen decay modes of the K 2(1430)

0 are included.



0.015 0.003 0.006 47 AITALA 02 E791 nucleus, 500 GeV



30/55


47 AITALA 02 includes a broad scalar K 0(800) in the t to the D + K + + Dalitz

plot. This (a) greatly improves the t, and (b) gives results in other channels that greatlydisagree with previous analyses. The disagreement is so large that it makes no sense toaverage the results with those of earlier experiments. For now, we exclude AITALA 02from the average.

K (1680) 0 + / K + + 93/ 39 K (1680) 0 + / K + + 93/ 39 K (1680) 0 + / K + + 93 / 39 K (1680) 0 + / K + + 93 / 39Unseen decay modes of the K (1680) 0 are included.

VALUE DOCUMENT ID TECN COMMENT 0.160 0.032 OUR AVERAGE0.160 0.032 OUR AVERAGE0.160 0.032 OUR AVERAGE0.160 0.032 OUR AVERAGE Error includes scale factor of 1.1.0.182 0.023 0.028 FRABETTI 94 G E687 Be, E 220 GeV0.113 0.015 0.050 ANJOS 93 E691 Be 90260 GeV We do not use the following data for averages, ts, limits, etc.



K + + nonresonant / K + + 45/ 39 K + + nonresonant / K + + 45/ 39 K + + nonresonant / K + + 45 / 39 K + + nonresonant / K + + 45 / 39VALUE DOCUMENT ID TECN COMMENT 0.95 0.07 OUR AVERAGE0.95 0.07 OUR AVERAGE0.95 0.07 OUR AVERAGE0.95 0.07 OUR AVERAGE0.998 0.037 0.072 FRABETTI 94 G E687 Be, E 220 GeV0.838 0.088 0.275 ANJOS 93 E691 Be 90260 GeV0.79 0.07 0.15 ADLER 87 MRK3 e + e 3.77 GeV We do not use the following data for averages, ts, limits, etc.



K 0 + 0 / total 46/ K 0 + 0 / total 46/ K 0 + 0 / total 46/ K 0 + 0 / total 46/VALUE EVTS DOCUMENT ID TECN COMMENT 0.097 0.030 OUR FIT0.097 0.030 OUR FIT0.097 0.030 OUR FIT0.097 0.030 OUR FIT Error includes scale factor of 1.1.0.107 0.029 OUR AVERAGE0.107 0.029 OUR AVERAGE0.107 0.029 OUR AVERAGE0.107 0.029 OUR AVERAGE0.102 0.025 0.016 159 ADLER 88C MRK3 e + e 3.77 GeV0.19 0.12 10 50 SCHINDLER 81 MRK2 e + e 3.771 GeV


K 0 + / K 0 + 0 47/ 46 K 0

+

/ K 0

+

0

47/ 46 K 0 + / K 0 + 0 47 / 46 K 0

+

/ K 0

+

0

47 / 46VALUE DOCUMENT ID TECN COMMENT

0.68 0.08 0.120.68 0.08 0.120.68 0.08 0.120.68 0.08 0.12 ADLER 87 MRK3 e + e 3.77 GeV



31/55


K (892) 0 + / K 0 + 0 82/ 46 K (892) 0 + / K 0 + 0 82/ 46 K (892) 0 + / K 0 + 0 82 / 46 K (892) 0 + / K 0 + 0 82 / 46Unseen decay modes of the K (892) 0 are included.

VALUE DOCUMENT ID TECN COMMENT 0.20 0.06 OUR FIT0.20 0.06 OUR FIT0.20 0.06 OUR FIT0.20 0.06 OUR FIT0.57 0.18 0.180.57 0.18 0.180.57 0.18 0.180.57 0.18 0.18 ADLER 87 MRK3 e + e 3.77 GeV

K 0 + 0 nonresonant / K 0 + 0 49/ 46 K 0 + 0 nonresonant / K 0 + 0 49/ 46 K 0 + 0 nonresonant / K 0 + 0 49 / 46 K 0 + 0 nonresonant / K 0 + 0 49 / 46VALUE DOCUMENT ID TECN COMMENT 0.13 0.07 0.080.13 0.07 0.080.13 0.07 0.080.13 0.07 0.08 ADLER 87 MRK3 e + e 3.77 GeV

K + + 0 / total 50/ K + + 0 / total 50/ K + + 0 / total 50/ K + + 0 / total 50/

VALUE EVTS DOCUMENT ID TECN COMMENT 0.065 0.011 OUR FIT0.065 0.011 OUR FIT0.065 0.011 OUR FIT0.065 0.011 OUR FIT0.058 0.012 0.0120.058 0.012 0.0120.058 0.012 0.0120.058 0.012 0.012 142 COFFMAN 92 B MRK3 e + e 3.77 GeV We do not use the following data for averages, ts, limits, etc.



0.063+0 .014 0.013 0.012 175 BALTRUSAIT...86 E MRK3 See COFFMAN 92 B


K + + 0 / K + + 50/ 39 K + + 0 / K + + 50/ 39 K + + 0 / K + + 50 / 39 K + + 0 / K + + 50 / 39VALUE EVTS DOCUMENT ID TECN COMMENT 0.70 0.12 OUR FIT0.70 0.12 OUR FIT0.70 0.12 OUR FIT0.70 0.12 OUR FIT0.76 0.11 0.120.76 0.11 0.120.76 0.11 0.120.76 0.11 0.12 91 ANJOS 92 C E691 Be 90260 GeV We do not use the following data for averages, ts, limits, etc.

0.69 0.10 0.16 ANJOS 89 E E691 See ANJOS 92C

0.57 +0 .65 0.17 1 AGUILAR-... 83B HYBR p , 360 GeV

K (892) 0 + total / K + + 0 83/ 50 K (892) 0 + total / K + + 0 83/ 50 K (892) 0 + total / K + + 0 83 / 50 K (892) 0 + total / K + + 0 83 / 50Unseen decay modes of the K (892) 0 are included.


0.33 0.165 0.120.33 0.165 0.120.33 0.165 0.120.33 0.165 0.12 52 ANJOS 92 C E691 Be 90260 GeV52 See, however, the next entry, where the two experiments disagree completely.

K (892) 0 + S -wave / K + + 0 84/ 50 K (892) 0 + S -wave / K + + 0 84/ 50 K (892) 0 + S -wave / K + + 0 84 / 50 K (892) 0 + S -wave / K + + 0 84 / 50Unseen decay modes of the K (892) 0 are included. The two experiments here disagreecompletely.

VALUE DOCUMENT ID TECN COMMENT 0.26 0.25 OUR AVERAGE0.26 0.25 OUR AVERAGE0.26 0.25 OUR AVERAGE0.26 0.25 OUR AVERAGE Error includes scale factor of 3.1.

0.15 0.075 0.045 ANJOS 92 C E691 Be 90260 GeV0.833 0.116 0.165 COFFMAN 92 B MRK3 e + e 3.77 GeV



32/55


K (892) 0 + P -wave / total 85/ K (892) 0 + P -wave / total 85/ K (892) 0 + P -wave / total 85/ K (892) 0 + P -wave / total 85/Unseen decay modes of the K (892) 0 are included.


< 0.001< 0.001< 0.001< 0.001 90 ANJOS 92C E691 Be 90260 GeV We do not use the following data for averages, ts, limits, etc.

< 0.005 90 COFFMAN 92 B MRK3 e + e 3.77 GeV

K (892) 0 + D -wave / K + + 0 86/ 50 K (892) 0 + D -wave / K + + 0 86/ 50 K (892) 0 + D -wave / K + + 0 86 / 50 K (892) 0 + D -wave / K + + 0 86 / 50Unseen decay modes of the K (892) 0 are included.


0.15 0.09 0.0450.15 0.09 0.0450.15 0.09 0.0450.15 0.09 0.045 ANJOS 92C E691 Be 90260 GeV

K (892) 0 + D -wave longitudinal / total 87/ K (892) 0 + D -wave longitudinal / total 87/ K (892) 0 + D -wave longitudinal / total 87/ K (892) 0 + D -wave longitudinal / total 87/Unseen decay modes of the K (892) 0 are included.


< 0.007< 0.007< 0.007< 0.007 90 COFFMAN 92B MRK3 e + e 3.77 GeV

K 1(1400) 0 + / K + + 0 89/ 50 K 1(1400) 0 + / K + + 0 89/ 50 K 1(1400) 0 + / K + + 0 89 / 50 K 1(1400) 0 + / K + + 0 89 / 50

Unseen decay modes of the K 1(1400)0

are included.VALUE DOCUMENT ID TECN COMMENT 0.77 0.20 OUR FIT0.77 0.20 OUR FIT0.77 0.20 OUR FIT0.77 0.20 OUR FIT0.907 0.218 0.1800.907 0.218 0.1800.907 0.218 0.1800.907 0.218 0.180 COFFMAN 92B MRK3 e + e 3.77 GeV

K + + total / K + + 0 98/ 50 K + + total / K + + 0 98/ 50 K + + total / K + + 0 98 / 50 K + + total / K + + 0 98 / 50This includes K (892) 0 + , etc. The next entry gives the specically 3-body fraction.


0.48 0.13 0.090.48 0.13 0.090.48 0.13 0.090.48 0.13 0.09 ANJOS 92C E691 Be 90260 GeV

K + + 3-body / K + + 0 99/ 50 K + + 3-body / K + + 0 99/ 50 K + + 3-body / K + + 0 99 / 50 K + + 3-body / K + + 0 99 / 50VALUE DOCUMENT ID TECN COMMENT

0.17

0.06 OUR AVERAGE0.17 0.06 OUR AVERAGE0.17

0.06 OUR AVERAGE

0.17 0.06 OUR AVERAGE0.18 0.08 0.04 ANJOS 92 C E691 Be 90260 GeV0.159 0.065 0.060 COFFMAN 92 B MRK3 e + e 3.77 GeV

K (892) 0 + 0 total / K + + 0 94/ 50 K (892) 0 + 0 total / K + + 0 94/ 50 K (892) 0 + 0 total / K + + 0 94 / 50 K (892) 0 + 0 total / K + + 0 94 / 50This includes K (892) 0 + , etc. The next two entries give the specically 3-bodyfraction. Unseen decay modes of the K (892) 0 are included.


1.05 0.11 0.081.05 0.11 0.081.05 0.11 0.081.05 0.11 0.08 ANJOS 92C E691 Be 90260 GeV

K (892) 0 + 0 3-body / total 95/ K (892) 0 + 0 3-body / total 95/ K (892) 0 + 0 3-body / total 95/ K (892) 0 + 0 3-body / total 95/Unseen decay modes of the K (892) 0 are included.

VALUE CL% DOCUMENT ID TECN COMMENT We do not use the following data for averages, ts, limits, etc.

< 0.008 90 53 COFFMAN 92 B MRK3 e + e 3.77 GeV53 See, however, the next entry: ANJOS 92 C sees a large signal in this channel.



33/55


K (892) 0 + 0 3-body / K + + 0 95/ 50 K (892) 0 + 0 3-body / K + + 0 95/ 50 K (892) 0 + 0 3-body / K + + 0 95 / 50 K (892) 0 + 0 3-body / K + + 0 95 / 50Unseen decay modes of the K (892) 0 are included.


0.66 0.09 0.170.66 0.09 0.170.66 0.09 0.170.66 0.09 0.17 ANJOS 92C E691 Be 90260 GeV

K (892) + + 3-body / K + + 0 97/ 50 K (892) + + 3-body / K + + 0 97/ 50 K (892) + + 3-body / K + + 0 97 / 50 K (892) + + 3-body / K + + 0 97 / 50Unseen decay modes of the K (892) are included.

VALUE DOCUMENT ID TECN COMMENT 0.32 0.14 OUR FIT0.32 0.14 OUR FIT0.32 0.14 OUR FIT0.32 0.14 OUR FIT Error includes scale factor of 1.1.0.24 0.12 0.090.24 0.12 0.090.24 0.12 0.090.24 0.12 0.09 ANJOS 92 C E691 Be 90260 GeV

K + + 0 nonresonant / total 58/ K + + 0 nonresonant / total 58/ K + + 0 nonresonant / total 58/ K + + 0 nonresonant / total 58/



< 0.002 90 54 ANJOS 92 C E691 Be 90260 GeV54 Whereas ANJOS 92 C nds no signal here, COFFMAN 92 B nds a fairly large one; see

the next entry.

K + + 0 nonresonant / K + + 0 58/ 50 K + + 0 nonresonant / K + + 0 58/ 50 K + + 0 nonresonant / K + + 0 58 / 50 K + + 0 nonresonant / K + + 0 58 / 50VALUE DOCUMENT ID TECN COMMENT 0.184 0.070 0.0500.184 0.070 0.0500.184 0.070 0.0500.184 0.070 0.050 COFFMAN 92B MRK3 e + e 3.77 GeV

K 0 + + / total 59/ K 0 + + / total 59/ K 0 + + / total 59/ K 0 + + / total 59/


0.071 +0 .010 0.009 OUR FIT0.071+0 .010 0.009 OUR FIT0.071+0 .010 0.009 OUR FIT0.071+0 .010 0.009 OUR FIT

0.071 0.016 OUR AVERAGE0.071 0.016 OUR AVERAGE0.071 0.016 OUR AVERAGE0.071 0.016 OUR AVERAGE0.066 0.015 0.005 168 ADLER 88C MRK3 e + e 3.77 GeV0.12 0.05 21 55 SCHINDLER 81 MRK2 e + e 3.771 GeV We do not use the following data for averages, ts, limits, etc.

0.042 +0 .019 0.017

56 BARLAG 92C ACCM Cu 230 GeV




K 0 + + / K + + 59/ 39 K 0 + + / K + + 59/ 39 K 0 + + / K + + 59 / 39 K 0 + + / K + + 59 / 39VALUE EVTS DOCUMENT ID TECN COMMENT 0.77 0.10 OUR FIT0.77 0.10 OUR FIT0.77 0.10 OUR FIT0.77 0.10 OUR FIT0.77 0.07 0.110.77 0.07 0.110.77 0.07 0.110.77 0.07 0.11 229 ANJOS 92 C E691 Be 90260 GeV

K 0 a1(1260) + / K 0 + + 79/ 59 K 0 a1(1260) + / K 0 + + 79/ 59 K 0 a1(1260) + / K 0 + + 79 / 59 K 0 a1(1260) + / K 0 + + 79 / 59Unseen decay modes of the a1(1260)

+ are included, assuming that the a1(1260)+

decays entirely to [or at least to ( )I = 1 ].VALUE DOCUMENT ID TECN COMMENT 1.15 0.19 OUR AVERAGE1.15 0.19 OUR AVERAGE1.15 0.19 OUR AVERAGE1.15 0.19 OUR AVERAGE Error includes scale factor of 1.1.1.66 0.28 0.40 ANJOS 92 C E691 Be 90260 GeV1.078 0.114 0.140 COFFMAN 92 B MRK3 e + e 3.77 GeV



34/55


K 0 a2(1320) + / total 80/ K 0 a2(1320) + / total 80/ K 0 a2(1320) + / total 80/ K 0 a2(1320) + / total 80/Unseen decay modes of the a2(1320)

+ are included.VALUE CL% DOCUMENT ID TECN COMMENT



K 1(1270) 0 + / total 88/ K 1(1270) 0 + / total 88/ K 1(1270) 0 + / total 88/ K 1(1270) 0 + / total 88/Unseen decay modes of the K 1(1270)

0 are included.VALUE CL% DOCUMENT ID TECN COMMENT



K 1(1400) 0 + / total 89/ K 1(1400) 0 + / total 89/ K 1(1400) 0 + / total 89/ K 1(1400) 0 + / total 89/Unseen decay modes of the K 1(1400)

0 are included.VALUE CL% DOCUMENT ID TECN COMMENT


< 0.009 90 57 ANJOS 92 C E691 Be 90260 GeV57 ANJOS 92 C sees no evidence for K 1(1400)

0 + in either the K 0 + + orK + + 0 channels, whereas COFFMAN 92 B nds the K 1(1400)

0 + branchingfraction to be large; see the next entry.

K 1(1400) 0 + / K 0 + + 89/ 59 K 1(1400) 0 + / K 0 + + 89/ 59 K 1(1400) 0 + / K 0 + + 89 / 59 K 1(1400) 0 + / K 0 + + 89 / 59

Unseen decay modes of the K 1(1400)0 are included.

VALUE DOCUMENT ID TECN COMMENT 0.70 0.17 OUR FIT0.70 0.17 OUR FIT0.70 0.17 OUR FIT0.70 0.17 OUR FIT0.623 0.106 0.1800.623 0.106 0.1800.623 0.106 0.1800.623 0.106 0.180 COFFMAN 92B MRK3 e + e 3.77 GeV

K

(1410)0

+

/ total 90/ K (1410) 0 + /

total

90/

K

(1410)0

+

/ total 90/ K (1410) 0 + /

total

90/




K (892) + + total / K 0 + + 96/ 59 K (892) + + total / K 0 + + 96/ 59 K (892) + + total / K 0 + + 96 / 59 K (892) + + total / K 0 + + 96 / 59Unseen decay modes of the K (892) are included.



0.41 0.14 14 ALEEV 94 BIS2 n N 2070 GeV

K (892) + + 3-body /total

97

/ K (892) + + 3-body / total 97/ K (892) + + 3-body /total

97

/ K (892) + + 3-body / total 97/Unseen decay modes of the K (892) 0 are included.

VALUE CL% DOCUMENT ID TECN COMMENT 0.021 0.009 OUR FIT0.021 0.009 OUR FIT0.021 0.009 OUR FIT0.021 0.009 OUR FIT





35/55


36/55


WEIGHTED AVERAGE0.066 0.008 (Error scaled by 1.6)

Values above of weighted average, error,and scale factor are based upon the data inthis ideogram only. They are not neces-sarily the same as our best values,obtained from a least-squares constrained fitutilizing measurements of other (related)quantities as additional information.

ANJOS 90D E691 3.0FRABETTI 97C E687 0.8LINK 03D FOCS 1.5

2


0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16

K 3 + / K + +

K (892) 0 + + / K 3+ 103 / 66 K (892) 0 + + / K 3+ 103 / 66 K (892) 0 + + / K 3+ 103 / 66 K (892) 0 + + / K 3+ 103 / 66Unseen decay modes of the K (892) 0 are included.

VALUE DOCUMENT ID TECN COMMENT 0.51 0.19 OUR FIT0.51 0.19 OUR FIT0.51 0.19 OUR FIT0.51 0.19 OUR FIT Error includes scale factor of 2.2.0.46 0.33 OUR AVERAGE0.46 0.33 OUR AVERAGE0.46 0.33 OUR AVERAGE0.46 0.33 OUR AVERAGE Error includes scale factor of 3.3.0.32 0.06 0.09 LINK 03D FOCS nucleus, E 180

GeV1.25 0.12 0.23 ANJOS 90 D E691 Photoproduction

K (892) 0 0 + / K + + 104 / 39 K (892) 0 0 + / K + + 104 / 39 K (892) 0 0 + / K + + 104 / 39 K (892) 0 0 + / K + + 104 / 39Unseen decay modes of the K (892) 0 are included.

VALUE DOCUMENT ID TECN COMMENT 0.033 0.008 OUR FIT0.033 0.008 OUR FIT0.033 0.008 OUR FIT0.033 0.008 OUR FIT Error includes scale factor of 1.4.0.023 0.010 0.0060.023 0.010 0.0060.023 0.010 0.0060.023 0.010 0.006 FRABETTI 97 C E687 Be, E 200 GeV

K (892) 0 0 + / K 3+ 104 / 66 K (892) 0 0 + / K 3+ 104 / 66 K (892) 0 0 + / K 3+ 104 / 66 K (892) 0 0 + / K 3+ 104 / 66Unseen decay modes of the K (892) 0 are included.

VALUE DOCUMENT ID TECN COMMENT 0.49 0.11 OUR FIT0.49 0.11 OUR FIT0.49 0.11 OUR FIT0.49 0.11 OUR FIT Error includes scale factor of 1.5.0.60 0.05 0.090.60 0.05 0.090.60 0.05 0.090.60 0.05 0.09 LINK 03D FOCS nucleus, E

180

GeV

K (892) 0 0 + / K (892) 0 + + 104 / 103 K (892) 0 0 + / K (892) 0 + + 104 / 103 K (892) 0 0 + / K (892) 0 + + 104 / 103 K (892) 0 0 + / K (892) 0 + + 104 / 103VALUE DOCUMENT ID TECN COMMENT 0.95 0.24 OUR FIT0.95 0.24 OUR FIT0.95 0.24 OUR FIT0.95 0.24 OUR FIT Error includes scale factor of 1.4.0.75 0.17 0.190.75 0.17 0.190.75 0.17 0.190.75 0.17 0.19 ANJOS 90 D E691 Photoproduction



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K (892) 0 + + no- / K + + 105 / 39 K (892) 0 + + no- / K + + 105 / 39 K (892) 0 + + no- / K + + 105 / 39 K (892) 0 + + no- / K + + 105 / 39Unseen decay modes of the K (892) 0 are included.


0.048 0.015 0.0110.048 0.015 0.0110.048 0.015 0.0110.048 0.015 0.011 FRABETTI 97 C E687 Be, E 200 GeV

K 0 + + / K + + 70/ 39 K 0 + + / K + + 70/ 39 K 0 + + / K + + 70 / 39 K 0 + + / K + + 70 / 39VALUE DOCUMENT ID TECN COMMENT

0.021 0.004 OUR FIT0.021 0.004 OUR FIT0.021 0.004 OUR FIT0.021 0.004 OUR FIT Error includes scale factor of 1.2.0.034 0.009 0.0050.034 0.009 0.0050.034 0.009 0.0050.034 0.009 0.005 FRABETTI 97 C E687 Be, E 200 GeV

K 0 + + / K 3+ 70/ 66 K 0 + + / K 3+ 70/ 66 K 0 + + / K 3+ 70 / 66 K 0 + + / K 3+ 70 / 66VALUE DOCUMENT ID TECN COMMENT 0.31 0.04 OUR FIT0.31 0.04 OUR FIT0.31 0.04 OUR FIT0.31 0.04 OUR FIT0.30 0.04 0.010.30 0.04 0.010.30 0.04 0.010.30 0.04 0.01 LINK 03D FOCS nucleus, E 180

GeV

K (892) 0 a1(1260) + / K + + 107 / 39 K (892) 0 a1(1260) + / K + + 107 / 39 K (892) 0 a1(1260) + / K + + 107 / 39 K (892) 0 a1(1260) + / K + + 107 / 39Unseen decay modes of the K (892) 0 and a1(1260)

+ are included.VALUE DOCUMENT ID TECN COMMENT

0.099 0.008 0.0180.099 0.008 0.0180.099 0.008 0.0180.099 0.008 0.018 LINK 03D FOCS nucleus, E 180GeV

K 3+ nonresonant / K 3+ 71/ 66 K 3+ nonresonant / K 3+ 71/ 66 K 3+ nonresonant / K 3+ 71 / 66 K 3+ nonresonant / K 3+ 71 / 66VALUE CL% DOCUMENT ID TECN COMMENT

0.07 0.05 0.010.07 0.05 0.010.07 0.05 0.010.07 0.05 0.01 LINK 03D FOCS nucleus, E 180GeV


< 0.026 90 FRABETTI 97 C E687 Be, E 200 GeV

K 2+ 20 / total 72/ K 2+ 20 / total 72/ K 2+ 20 / total 72/ K 2+ 20 / total 72/


We do not use the following data for averages, ts, limits, etc. < 0.015 58 BARLAG 92C ACCM Cu 230 GeV



K 0 2+ 0 / total 73/ K 0 2+ 0 / total 73/ K 0 2+ 0 / total 73/ K 0 2+ 0 / total 73/








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K 0 3+ 2 / total 74/ K 0 3+ 2 / total 74/ K 0 3+ 2 / total 74/ K 0 3+ 2 / total 74/



0.0008 0.0007 60 BARLAG 92C ACCM Cu 230 GeV60 BARLAG 92C computes the branching fraction using topological normalization.

K 3+ 0 / total 75/ K 3+ 0 / total 75/ K 3+ 0 / total 75/ K 3+ 0 / total 75/



0.0020 0.0018 61 BARLAG 92C ACCM Cu 230 GeV61 BARLAG 92C computes the branching fraction using topological normalization.

K 0 K 0 K + / K + + 76/ 39 K 0 K 0 K + / K + + 76/ 39 K 0 K 0 K + / K + + 76 / 39 K 0 K 0 K + / K + + 76 / 39VALUE EVTS DOCUMENT ID TECN COMMENT 0.20 0.09 OUR AVERAGE0.20 0.09 OUR AVERAGE0.20 0.09 OUR AVERAGE0.20 0.09 OUR AVERAGE Error includes scale factor of 2.4.0.14 0.04 0.02 39 ALBRECHT 94 I ARG e + e 10 GeV0.34 0.07 70 AMMAR 91 CLEO e + e 10.5 GeV

K +

K

K 0

+

/ K 0

+

+

77/ 59 K +

K

K 0

+

/ K 0

+

+

77/ 59 K +

K

K 0

+

/ K 0

+

+

77 / 59 K +

K

K 0

+

/ K 0

+

+

77 / 59VALUE EVTS DOCUMENT ID TECN COMMENT 0.0077 0.0015 0.00090.0077 0.0015 0.00090.0077 0.0015 0.00090.0077 0.0015 0.0009 35 LINK 01C FOCS nucleus, E 180

GeV

Pionic modesPionic modesPionic modesPionic modes

+ 0 / K + + 108 / 39 + 0 / K + + 108 / 39 + 0 / K + + 108 / 39 + 0 / K + + 108 / 39VALUE EVTS DOCUMENT ID TECN COMMENT

0.028 0.006 0.0050.028 0.006 0.0050.028 0.006 0.0050.028 0.006 0.005 34 SELEN 93 CLE2 e + e (4S )

+ + / K + + 109 / 39 + + / K + + 109 / 39 + + / K + + 109 / 39 + + / K + + 109 / 39VALUE EVTS DOCUMENT ID TECN COMMENT

0.0341 +0 .0035 0.0042 OUR AVERAGE0.0341+0 .0035 0.0042 OUR AVERAGE0.0341+0 .0035 0.0042 OUR AVERAGE0.0341+0 .0035 0.0042 OUR AVERAGE Error includes scale factor of 1.7. See the ideogram

below.

0.0311 0.0018 +0 .0016 0.0026 1172 AITALA 01B E791 nucleus, 500 GeV

0.043 0.003 0.003 236 FRABETTI 97 D E687 Be 200 GeV0.035 0.007 0.003 83 ANJOS 89 E691 Photoproduction We do not use the following data for averages, ts, limits, etc.

0.032 0.011 0.003 20 ADAMOVICH 93 WA82 340 GeV0.042 0.016 0.010 57 BALTRUSAIT...85 E MRK3 e + e 3.77 GeV



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WEIGHTED AVERAGE0.0341+0.0035-0.0042 (Error scaled by 1.7)

ANJOS 89 E691 0.0FRABETTI 97D E687 4.4AITALA 01B E791 1.5

2


0.01 0.02 0.03 0.04 0.05 0.06 0.07

+ + / K + +

+

d+ decay modes.pdf

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