18 looking glass of flavor (2012) through the omega ...nfqcd2018/slide/tandogan.pdf · outline...
TRANSCRIPT
Ω SU(3) OMEGA looking
glass ΩAsli Tandogan (RUB), Maxim V. Polyakov(RUB), Hyeon-Dong Son (RUB), Bao-Dong Sun(IHEP)
Ω(2012) through the looking glass of flavor
SU(3)
Sino-German CRC 110 “Symmetries and the Emergence of Structure in QCD”
arXiv:1806.04427 (12.06.2018)
NF
QC
D2
01
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OutlineOutlineIntroduction & Goals
Partial decay widths of baryons
Identification of decuplet partner
(1530) molecular state
Summary & Outlook
Ω ( 2 0 1 2 ) t h r o u g h t h e l o o k i n g g l a s s o f f l a v o r S U ( 3 )
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BELLEIntroduction
Ω*-(2012)→ΞK (observed)
M=2012.4±0.7(stat)±0.6(syst) MeV
Γtot= (stat)±1.6(syst) MeV
B E L L E E x p e r i m e n t
The BELLE Collab. arXiv: 1805.09384v1 (23.05.2018)
6.4+2.5�2.0
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NF
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GOALSAim of the Study
Identify the Δ partner
Establish quantum numbers of Ω(2012)
Make predictions for Σ and Ξ (mass and width)
Narrow down the uncertainties of Δ partner
Discuss possible interpretation as (1530) molecule
W H A T C A N W E S A Y W I T H T H E H E L P O F T H E Ω ( 2 0 1 2 )
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Y
I3
SU(3)Basics of flavor SU(3)
Predicts the existence of multiplets: 1, 8, 10, 27-plet,…
Every particle defined by I, I3 & Y
SU(3) breaking → Gell-Mann-Okubo mass formula
For baryon decuplet
W H A T C A N W E S A Y W I T H T H E H E L P O F T H E Ω ( 2 0 1 2 )
mΣ − mΔ = mΞ − mΣ = mΩ − mΞ
NF
QC
D2
01
8
DECAY WIDTHSN
FQ
CD
20
18
Partial Decay Widths of BaryonsPartial decay width of B1→B2 M pseudo scalar meson, mass m
DEACY WIDTHS
F L A V O R S U ( 3 ) D E C U P L E T P A R T N E R
NF
QC
D2
01
8
1. � (B1 ! B2M) =g2B1B2M
8⇡
✓k
M0
◆2J+N ✓k
M1
◆M0
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Partial decay width of B1→B2 M pseudo scalar meson, mass m
used in the global SU(3) analyses in Guzey and Polyakov (2005), Samios et al. (1974)
Partial Decay Widths of Baryons
SU(3) Analysis of (8,5/2-)
In a very good agreement with experimental data
Ξ(1950) is very well fitted in this octet JP=5/2-
Guzey & Polyakov hep-ph/05122355v1
NF
QC
D2
01
8
DECAY WIDTHSF L A V O R S U ( 3 ) D E C U P L E T P A R T N E R
� (B1 ! B2M) =g2B1B2M
8⇡
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� (B1 ! B2M) =g2B1B2M
8⇡
✓k
M0
◆2J�1 ✓ k
M1
◆(M1 �NM2)2 �m2
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obtained in effective chiral Lagrangian frame work for baryon resonances of any spin
Semenov-Tian-Shansky et al. (2005)
Partial decay width of B1→B2 M pseudo scalar meson, mass m
NF
QC
D2
01
8
Partial Decay Widths of Baryons
1.
2.
DEACY WIDTHSF L A V O R S U ( 3 ) D E C U P L E T P A R T N E R
NF
QC
D2
01
8
� (B1 ! B2M) =g2B1B2M
8⇡
✓k
M0
◆2J+N ✓k
M1
◆M0
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� (B1 ! B2M) =g2B1B2M
8⇡
✓k
M0
◆2J�1 ✓ k
M1
◆(M1 �NM2)2 �m2
M1<latexit sha1_base64="LIZSmWs76rCoAI1o/FmWlC4aoaw=">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</latexit><latexit sha1_base64="fpYAi5fzLznccRW9M/+JSc75zF4=">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</latexit><latexit sha1_base64="fpYAi5fzLznccRW9M/+JSc75zF4=">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</latexit><latexit sha1_base64="Ao3NpGGDzHUt+DdRVtU6olcglYk=">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</latexit>
1.
2.
J spin of B1, N Normality P (-1)J-1/2 ,
M0 mass constant parameter
M1 mass of B1 , M2 mass of B2
k decay momentum in c.m. frame
Partial Decay Widths of BaryonsPartial decay width of B1→B2 M pseudo scalar meson, mass m
DEACY WIDTHS
F L A V O R S U ( 3 ) D E C U P L E T P A R T N E R
NF
QC
D2
01
8
� (B1 ! B2M) =g2B1B2M
8⇡
✓k
M0
◆2J+N ✓k
M1
◆M0
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� (B1 ! B2M) =g2B1B2M
8⇡
✓k
M0
◆2J�1 ✓ k
M1
◆(M1 �NM2)2 �m2
M1<latexit sha1_base64="LIZSmWs76rCoAI1o/FmWlC4aoaw=">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</latexit><latexit sha1_base64="fpYAi5fzLznccRW9M/+JSc75zF4=">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</latexit><latexit sha1_base64="fpYAi5fzLznccRW9M/+JSc75zF4=">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</latexit><latexit sha1_base64="Ao3NpGGDzHUt+DdRVtU6olcglYk=">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</latexit>
Partial decay width of B1→B2 M pseudo scalar meson, mass m
Partial Decay Widths of Baryons
1.
2.
C o u p l i n g c o n s t a n t s 10 Decay Mode ! 8+8 !10+8
� ! N⇡ -p2/2 A10
! ⌃ Kp2/2 A10
! � ⇡p10/4 A0
10
! � ⌘ �p2/4 A0
10
! ⌃⇤ K 1/2 A010
⌃ ! ⇤ ⇡ �1/2A10
! ⌃ ⇡, ⌅ Kp6/6A10
! N K̄ -p6/6A10
! ⌃ ⌘ 1/2A10
! ⌃⇤ ⇡, ⌅⇤ K, �K̄p3/6A0
10
! ⌃⇤ ⌘ 0
⌅ ! ⌅ ⇡, ⌅⌘, ⌃K̄ 1/2A10
! ⇤ K̄ �1/2A10
! ⌅⇤ ⇡, ⌅⇤⌘p2/4A0
10
! ⌃⇤K̄p2/2A0
10
! ⌦ K 1/2A010
⌦ ! ⌅ K̄ A10
! ⌅⇤K̄, ⌦⌘p2/2A0
10
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are related to each other by SU(3) Clebsh-Gordon coeff. Γs of 10→8+8 are fixed by A10
can be constrained by experimental mass and width of Ω(2012) with different quantum numbers
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Partial Decay Widths
NF
QC
D2
01
8
Δ PartnerΔ partner for Ω(2012)Gell-Mann-Okubo→typical mass splitting 100-150 MeV Δ partner →in the mass range 1500-1700 MeV Three reported Δ resonances
Δ(1600), JP=3/2+ (***)
Δ(1620), JP=1/2- (****)
Δ(1700), JP=3/2- (****)
Ξ and Σ decuplet partners are missing Guzey and Polyakov identified Σ partner for Δ(1620) as Σ(1750) , JP=1/2-
F L A V O R S U ( 3 ) D E C U P L E T P A R T N E R
NF
QC
D2
01
8
Δ PartnerOnly three open strong channels:
Sum of the 3-body decay branching ratio
F L A V O R S U ( 3 ) D E C U P L E T P A R T N E R
NF
QC
D2
01
8
Experimental data by Belle
Predictions can be made for decay widths of Δ decuplet partner
b = 1���⌦(2012) ! ⌅K
�
�tot! �
�⌦(2012) ! ⌅K
�= (1� b) · �tot
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⌅K̄ ,⌅K̄⇡ ,⌦�⇡⇡<latexit sha1_base64="BpaaKMWgihCujYQ9BhQ1HjLtAYI=">AAACVHicbZHNS8MwFMDTzumcX1OPXoJD8DBLu8k2bwMvigcnuA9o60izbAtLP0hSYZT+kXoQ/Eu8eDDbiszNB4Efv/fy8V68iFEhTfNT03Nb+e2dwm5xb//g8Kh0fNIVYcwx6eCQhbzvIUEYDUhHUslIP+IE+R4jPW96O8/3XgkXNAye5Swiro/GAR1RjKRSg9I0cRaH2HzsuYlp1Oo39VqzsoRqI4NaLXW8kA0Tp0+h4yGePKSpU6n8ysxBJ6Ir/tEnY/RypeTcp4NS2TTMRcBNsDIogyzag9K7Mwxx7JNAYoaEsC0zkm6CuKSYkbToxIJECE/RmNgKA+QT4SaLflJ4ocwQjkKuViDhwq7uSJAvxMz3VKWP5ESs5+byv5wdy1HTTWgQxZIEeHnRKGZQhnA+YTiknGDJZgoQ5lS9FeIJ4ghL9Q9FNQRrveVN6FYNyzSsp+ty6z4bRwGcgXNwCSzQAC1wB9qgAzB4A18a0DTtQ/vWc3p+Wapr2Z5T8Cf0wx/gibBP</latexit><latexit sha1_base64="BpaaKMWgihCujYQ9BhQ1HjLtAYI=">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</latexit><latexit sha1_base64="BpaaKMWgihCujYQ9BhQ1HjLtAYI=">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</latexit><latexit sha1_base64="BpaaKMWgihCujYQ9BhQ1HjLtAYI=">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</latexit>
Δ partner for Ω(2012)
Printed by Wolfram Mathematica Student Edition
Δ(1600) with JP=3/2+
Printed by Wolfram Mathematica Student Edition
Δ(1620) with JP=1/2-
b = 1���⌦(2012) ! ⌅K
�
�tot! �
�⌦(2012) ! ⌅K
�= (1� b) · �tot
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Δ(1700)Partial Decay Width of Δ(1700)Δ D E C U P L E T P A R T N E R
PDG
Sokhoyan
Arndt
Cutkosky
Hoehler
b = 0
b = 0.7
1600 1650 1700 17500
20
40
60
80
MΔ [MeV]
Γ(Δ→Nπ)[MeV
]��⌦(2012) ! ⌅K
�= (1� b) · �tot
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NF
QC
D2
01
8
PropertiesProperties of new Baryon Decuplet
If b< 0.7
Ω(2012) and Δ(1700) are good candidates for
same decuplet JP=3/2-
Xiao and Zhong (2018) in chiral quark model
and Aliev et al. (2018) in QCD sum rules
suggest the quantum numbers of Ω(2012) are
JP=3/2-
N E W D E C U P L E TN
FQ
CD
20
18
Properties of new Baryon DecupletIf b< 0.7
Other members of the decuplet with JP=3/2-, MΣ=1805±40
MeV, MΞ=1910±40 MeV
Error dominated by uncertainty of Δ(1700) mass
Masses can be shifted due to mixing with nearby
members of JP=3/2- octet (No such states predicted)
Expectation: Gell-Mann-Okubo mass formula should work
well (Mass splitting equidistant and δ10=104±15 MeV)
N E W D E C U P L E TN
FQ
CD
20
18
Our predictions for decuplet partners’ mass and decay width
No candidates in PDG for Σ and Ξ Ξ can be identified with Ξ(1950), but it is very well fitted to baryon octet with JP=5/2- in Guzey and Polyakov
N E W D E C U P L E T
Decay Mode �1 [MeV] �2 [MeV]
� ! N⇡ 29 - 44 39 - 58! ⌃K 0 - 0.2 0 - 2
⌃ ! ⇤⇡ 10 - 16 11 - 18! ⌃⇡ 4 - 7 4 - 7! NK̄ 5 - 10 7 - 12! ⌃ ⌘ 0.01- 0.5 0.01 - 0.5
⌅ ! ⌅⇡ 5 - 9 5 - 9! ⌃K̄ 2 - 5 2 - 5! ⇤K̄ 5 - 9 5 - 10! ⌅⌘ 0 - 0.3 0 - 0.3
⌦ ! ⌅K̄ Input Input
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NF
QC
D2
01
8
Properties of new Baryon Decuplet
N E W D E C U P L E T
Mass of Ω(2012) is slightly lower than threshold → Ω(2012) could be molecular state If molecule is in S-wave then JP=3/2- , isospin can
be zero (decuplet) or 1 (27-plet) SU(3) formalism does not work for molecular
states SU(3) breaking corrections are of order ~ ms/binding energy (can be very large)
For Ω(2012) as (1530) molecular state an attraction in S-wave is needed
Such attraction can be provided by Weinberg-Tomozawa (WT) term of the effective chiral Lagrangian
K̄⌅<latexit sha1_base64="uunWplRm88SGFtYIQkH5NLujoy4=">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</latexit><latexit sha1_base64="uunWplRm88SGFtYIQkH5NLujoy4=">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</latexit><latexit sha1_base64="uunWplRm88SGFtYIQkH5NLujoy4=">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</latexit><latexit sha1_base64="nVibpwiq1mS5CmmxtB8p3x7IwWg=">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</latexit>
K̄Ξ(1530)
NF
QC
D2
01
8
Ω(2012) as (1530) molecular state K̄Ξ
N E W D E C U P L E T
WT term is studied in Kolomeitsev and Lutz (2004) and Sarkar, Oset and Vacas (2005)
Kolomeitsev and Lutz (2004) Sarkar, Oset and Vacas (2005)
bound state with mass 1950 MeV
two coupled states and with pole position 2141- i38 MeV
NF
QC
D2
01
8
Ω(2012) as molecular state K̄Ξ
K̄Ξ(1530) K̄Ξ(1530)ηΩ−
N E W D E C U P L E T
If is formed in decuplet (I=0), main decay mode is with partial decay width ~10 MeV For 27-plet (I=1), we expect larger decay width ~
30-50 MeV ( strongly coupled to channel opens) In molecular case Δ(1700) cannot be decuplet partner of Ω(2012)
Another excited Ω hyperon with JP=3/2- in mass region 2000-2150 MeV is expected Measuring decay mode is a good way to understand the nature of Ω(2012)
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K̄Ξ(1530)
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NF
QC
D2
01
8
Ω(2012) as molecular state K̄Ξ
Summary & OutlookWe found that Ω(2012) and Δ(1700) can belong to the same SU(3) decuplet with JP=3/2- Mass splitting is determined as δ10=104±15 MeV Masses and decay widths of still missing Σ and Ξ are predicted
Our predictions are valid only if the sum of branching ratios < 70% Branching ratios > 70%, Ω(2012) is molecular state in S-wave with I=0 or I=1.
To understand the nature of the Ω(2012), a measurement of its branching ratio for is crucial
⌦(2012) ! ⌅K̄⇡, ⌦�⇡⇡<latexit sha1_base64="1J0bh9IP+RFhhHrinqSDZigFERk=">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</latexit><latexit sha1_base64="1J0bh9IP+RFhhHrinqSDZigFERk=">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</latexit><latexit sha1_base64="1J0bh9IP+RFhhHrinqSDZigFERk=">AAACUXicdVFNaxsxEB1v+pE6beOmx15EQyEB1+x6jePcAr2k5NAU6sRgbc2sLK9FtKtF0iaYZSG/MIfklP/RSw8Nlb0utKV9SPD05s1IM4pzKYz1/fuGt/Ho8ZOnm8+aW89fvNxuvdo5M6rQjA+ZkkqPYjRciowPrbCSj3LNMY0lP48vPizj55dcG6GyL3aR8yjFJBMzwdA6adKal3RVZKyTOCr9TnjYH/T67ZqEvTXpBRWNlZyW9FPKE9zr+kF3n2qRzC1qra7oSBAaoy5PKkJz0aZtUju/vndHt6pq0tp1tfqH/XBAatI9WJMwJEHHX2H3aP8aljidtG7pVLEi5ZllEo0ZB35uoxK1FUzyqkkLw3NkF5jwsaMZptxE5aqZirxzypTMlHY7s2Sl/p5RYmrMIo2dM0U7N3/HluK/YuPCzgZRKbK8sDxj9UWzQhKryHK8ZCo0Z1YuHEGmhXsrYXPUyKz7hKYbwq9Oyf/JWbcT+J3gs5vGR6ixCW/gLexBAAdwBMdwCkNgcAPf4Ac8NO4a3z3wvNrqNdY5r+EPeFs/AUkEsQk=</latexit><latexit sha1_base64="i3HoU0l3AKRgOo6BSCoh7uPBrgI=">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</latexit>
⌦(2012) ! ⌅K̄⇡, ⌦�⇡⇡<latexit sha1_base64="1J0bh9IP+RFhhHrinqSDZigFERk=">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</latexit><latexit sha1_base64="1J0bh9IP+RFhhHrinqSDZigFERk=">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</latexit><latexit sha1_base64="1J0bh9IP+RFhhHrinqSDZigFERk=">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</latexit><latexit sha1_base64="i3HoU0l3AKRgOo6BSCoh7uPBrgI=">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</latexit>
K̄⌅<latexit sha1_base64="uunWplRm88SGFtYIQkH5NLujoy4=">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</latexit><latexit sha1_base64="uunWplRm88SGFtYIQkH5NLujoy4=">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</latexit><latexit sha1_base64="nVibpwiq1mS5CmmxtB8p3x7IwWg=">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</latexit>
NF
QC
D2
01
8
ΞK̄π
Thank you for your attention!