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𝐾" and nucleus systemstudied by 12C(K-‐, p) spectrum
Yudai Ichikawa (JAEA)for the J-‐PARC E05 Kp Collaboration
The 13th International Conference on Hypernuclear and Strange Particle PhysicsJune 24-‐29, 2018 1
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Contents• Introduction• 𝐾-‐nucleus interaction• KEK E548 experiment• Theoretical criticism for E548
• 12C(K-‐, p) study in the J-‐PARC E05 pilot run• Detector setup• p(K-‐, p) analysis result• 12C(K-‐, p) analysis result• Coincidence analysis
• Summary2
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• Simple tρ approach
• DD(Density dependent) potential
• Fourier-‐Bessel method
• IHW KbarN interaction+phenomenologicalmulti-‐nucleon absorption
• Chiral motivated model
Re(V0) ~ -80 MeV
Re(V0) = -(150-‐200) MeV
Re(V0) ~ -(170) MeV
An important tool is kaonic atoms.
Re(V0) ~ -(170) MeV
Re(V0) ≦-60 MeV 3
𝐾"-‐A interaction
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• Simple tρ approach
• DD(Density dependent) potential
• Fourier-‐Bessel method
• IHW KbarN interaction+phenomenologicalmulti-‐nucleon absorption
• Chiral motivated model
Re(V0) ~ -80 MeV
Re(V0) = -(150-‐200) MeV
Re(V0) ~ -(170) MeV
An important tool is kaonic atoms.
Re(V0) ~ -(170) MeV
Re(V0) ≦-60 MeV 4
𝐾"-‐A interaction
The depth of Kbar-‐nucleus potential strongly depends on the model setting. It is not conclusive whether Kbar-‐nucleus potential is “deep” or “shallow”!! Both type of potential can reproduce the kaonic atoms data.
↓To solve this problem,
a new experimental constraint is necessary!
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KEK E548 [12C(K-‐, N) spectrum]
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T. Kishimoto et al., PTP 118, 1 (2007). 12C(K-‐, n)
12C(K-‐, p)
• 12C(K-‐, n), 12C(K-‐, p) at 1GeV/c• K-‐ beam: 104/spill• KEK-‐PS K2 beamline + KURAMA• MM resolution ~ 10 MeV (σ)• θsc < 4.1° was chosen
• Vopt was studied comparing DWIA• C(K-‐, n): Vopt = (V0: -‐190, W0: -‐40) MeV • C(K-‐, p): Vopt = (V0: -‐160, W0: -‐50) MeV
(dotted line: Vopt = (-‐60, -‐60) MeV)
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Discussion for KEK E548
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θp(Lab) <10°is required.
• V. K. Magas et al., pointed out a serious drawback in this experimental setup. • In E548, at lest one charged particle detected by their decay counter was required (semi-‐inclusive spectrum).
[Simulation]θK and momK of K-‐ for K-‐p→K-‐p (θp < 4.1゜)w/o FM for pK = -‐1.0 and -‐1.8 GeV/c
ー -‐1.0 GeV/c (KEK E548)ー -‐1.8 GeV/c (J-‐PARC E05)
V. K. Magas et al., PRC 81, 024609 (2010).
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Criticism for KEK-‐PS E548
Monte Carlo study for the semi-‐inclusive spectra.V. K. Magas et al., PRC 81, 024609 (2010).
Although their calculation is not realistic, they conclude the semi-‐inclusive spectra can distort the original inclusive spectra.
→ Semi-‐inclusive spectra doesn’t have enough sensitivity !!
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12C(K-‐, p) in E05 pilot run
ElasticBE 0MeV
BE 100MeVBE 200MeV
Recoil momentum of K-‐for K-‐p elastic scattering
Proton orbits at 0゜ in 12C(K-‐, p) reaction at 1.8 GeV/c
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―@1.0 GeV/c (KEK E548)―@1.8 GeV/c (E05)
SKS
• Goal of this measurement• Compare the real inclusive spectrum with DWIA calculation.• Search for the Kaonic nuclei• Check the semi-‐inclusive effect by decay counter (“KIC”).
We took this data as a byproduct of E05 (2015/10).
Analysis region
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11 [GeV]K-B0.3− 0.2− 0.1− 0 0.1 0.2 0.3
b/sr
/5M
eV]
µ/d
M [
Ω/dσ2 d
020406080
100120140160180200220 Data
Fit totalDWIA
"p" (Else)-K-
πΛ →"n" -K-π0Σ →"n" -Kp-π- K→"n" -K
-π0πΛ →"n" -K-π-π+Σ →"n" -KπππΛ →"n" -K
DWIA Calculation by J. Yamagata-‐Sekihara
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• (Re)V0: Changed, (Im)W0: Fixed to -‐40 MeV• Good agreement: V0 ~ -‐90 MeV
BG
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[GeV]K-B0.3− 0.2− 0.1− 0 0.1 0.2 0.3
b/sr
/5M
eV]
µ/d
M [
Ω/dσ2 d
020406080
100120140160180200220 Data
Fit totalDWIA
"p" (Else)-K-
πΛ →"n" -K-π0Σ →"n" -Kp-π- K→"n" -K
-π0πΛ →"n" -K-π-π+Σ →"n" -KπππΛ →"n" -K
DWIA Calculation by J. Yamagata-‐Sekihara
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DWIA Calculation by J. Yamagata-‐Sekihara
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DWIA Calculation by J. Yamagata-‐Sekihara
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Summary of V0 dependence
W0 = -‐40 MeV W0 = -‐40 MeV
Optimum: V0 ~ -‐80 MeVAny potential can not reproduce deeply bound region.
(3.5°< θ <4.5°)DWIA Calculation by J. Yamagata-‐Sekihara
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[GeV]K-B0.3− 0.2− 0.1− 0 0.1 0.2 0.3
b/sr
/5M
eV]
µ/d
M [
Ω/d
σ2 d
020406080
100120140160180200220
= -40 MeV0 = -80 MeV, W0V
[GeV]K-B0.3− 0.2− 0.1− 0 0.1 0.2 0.3
b/sr
/5M
eV]
µ/d
M [
Ω/d
σ2 d 2
4
6
8
10
12
14
= -40 MeV0 = -80 MeV, W0V
Fitting result of 12C(K-‐, p) spectrum
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[GeV]K-B0.3− 0.2− 0.1− 0 0.1 0.2 0.3
b/sr
/5M
eV]
µ/d
M [
Ω/dσ2 d
020406080
100120140160180200220 Data
Fit totalDWIA
"p" (Else)-K-
πΛ →"n" -K-π0Σ →"n" -Kp-π- K→"n" -K
-π0πΛ →"n" -K-π-π+Σ →"n" -KπππΛ →"n" -K
(3.5°< θ <4.5°)
DWIA Calculation by J. Yamagata-‐Sekihara
• DWIA calculation of (V0, W0) ~ (-80, -40) MeV well reproduce the experimental spectrum.• There is an excess around 𝐵$" ~ 100 MeV. • Bound state of Λ(1405)–10Be? • Fit with Breit Wigner function: M0 and Γ are about 100 MeV.
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[GeV]K-B0.3− 0.2− 0.1− 0 0.1 0.2 0.3
b/sr
/5M
eV]
µ/d
M [
Ω/d
σ2 d
020406080
100120140160180200220
= -40 MeV0 = -80 MeV, W0V
[GeV]K-B0.3− 0.2− 0.1− 0 0.1 0.2 0.3
b/sr
/5M
eV]
µ/d
M [
Ω/d
σ2 d 2
4
6
8
10
12
14
= -40 MeV0 = -80 MeV, W0V
Fitting result of 12C(K-‐, p) spectrum• DWIA calculation of (V0, W0) ~ (-80, -40) MeV well reproduce the experimental spectrum.• There is an excess around 𝐵$" ~ 100 MeV. • Bound state of Λ(1405)–10Be? • Fit with Breit Wigner function: M0 and Γ are about 100 MeV.
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[GeV]K-B0.3− 0.2− 0.1− 0 0.1 0.2 0.3
b/sr
/5M
eV]
µ/d
M [
Ω/dσ2 d
020406080
100120140160180200220 Data
Fit totalDWIA
"p" (Else)-K-
πΛ →"n" -K-π0Σ →"n" -Kp-π- K→"n" -K
-π0πΛ →"n" -K-π-π+Σ →"n" -KπππΛ →"n" -K
(3.5°< θ <4.5°)
DWIA Calculation by J. Yamagata-‐Sekihara
[GeV]K-B0.3− 0.2− 0.1− 0 0.1 0.2 0.3
b/sr
/5M
eV]
µ/d
M [
Ω/d
σ2 d
020406080
100120140160180200220
= -40 MeV0 = -80 MeV, W0V
[GeV]K-B0.2− 0 0.2
b/sr
/5M
eV]
µ/d
M [
Ω/d
σ2 d
0
2
4
6
8
10
12
14
= -40 MeV0 = -80 MeV, W0V
BW: Bound state of Λ*-10Be ?
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(w/o BW) vs (w BW)The χ2 distribution for without and with BW function. By adding the BW function, the agreement becomes better.
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1918
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Target (C: 9.538 g/cm2, CH2: 9.364 g/cm2)
<KIC counter and target>
KIC for coincidence analysis
400 mm
Target (CH2(150W×50H×100T), C(150W×50H×54T))
200m
m
K− p
400 mm200m
mU
D
L R
Plastic scintillator(Thickness: 10 mm)
p
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Review of KICKIC (“K-‐ identification counter”) was installed to check the distortion effect. KIC: 4 segments (U, D, L, and R). KEK E548: only (U and D) . The U and D configuration of KIC is same as KEK E548 detector (called as “CV”) .
400 mm
200m
m
K−
pSKS
~153°
[Simulation]θK and momK of K-‐ for K-‐p → K-‐p (θp < 4.1°)w/o Fermi motion for pK = -‐1.0 and -‐1.8 GeV/c
KIC acceptance
U
D
L R
400 mm
200m
m
U
D
ー pK = -‐1.0 GeV/c sim (KEK E548)ー pK = -‐1.8 GeV/c sim (J-‐PARC E05)21
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Coincidence analysis
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θKp < 4.1゜ θKp < 4.1゜
We can see the coincidence probability drop around Elastic region as we expected. However, the coincidence probability is more drastically dropped around BE = 0 GeV. In principle, the final state of BE < 0 region should be included Λ or Σ or π. Thus, the coincidence probability for BE < 0 region should be higher than QF elastic region.
QF elastic QF elastic
The KEK E548 coincidence (UD coin)has distorted original inclusive spectrum.
(w SKS accep
tance correctio
n)
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Summary• 𝐾-‐nucleus interaction• It isn’t conclusive whether 𝐾-‐A potential is “deep” or “shallow”.• KEK E548 experiment studied 𝐾-‐A interaction by comparing
12C(K-‐, N) spectra with DWIA calculation. The charged particle hit requirement might distort the inclusive spectrum.
• (K-‐, p) analysis as by-‐product of J-‐PARC E05 pilot run• p(K-‐, p) analysis: Reproduced by well known processes.
• We have measured dσ/dΩ of K-‐ p elastic scattering precisely. • 12C(K-‐, p) analysis: We have measured real inclusive spectrum
for the first time. • Fit with DWIA has been carried out. (V0, W0) ~ (-‐80, -‐40) MeV potential is well reproduce the obtained spectrum. • We have observed the definitive excess around BK ~ 100 MeV. It can be interpreted as a deeply bound Λ(1405) nucleus.• The coincidence spectrum distorted the original spectrum.
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J-‐PARC E05 Kp Collaboration• Kyoto University
• H. Ekawa, S. Kanatsuki, T. Nagae, T. Nanamura, M. Naruki
• JAEA• S. Hasegawa, K. Hosomi, Y. Ichikawa, K. Imai, H. Sako, S. Sato, H. Sugimura, K. Tanida
• Osaka University• K. Kobayashi, S.H. Hayakawa, T. Hayakawa, R. Honda, Y. Nakada, M. Nakagawa, A. Sakaguchi
• Tohoku University• Y. Akazawa, M. Fujita, K. Miwa, Y. Sasaki, H. Tamura
• KEK• K. Aoki, T. Takahashi, M. Ukai
• Korea University• J.K, Ahn, W. Jung, S. H. Kim
• Torino University• E. Botta, A. Feliciello, S. Marcello
• JINR• P. Evtoukhovitch, Z. Tsamalaidze,
• Seoul National University• J.Y Lee, T. Moon
• Gifu University• S. Kinbara
• Kitasato University• T. Hasegawa
• RCNP• K. Shirotori, T. Gogami
• Theoretical work for (K-‐, p) analysis• J. Yamagata-‐Sekihara, S. Hirenzaki 24
2015/11/19 J-PARC K1.8 Counting Room
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Back up
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QF Σ
QF ΣN → ΛN
Bound6ΛH