Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics...

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Λ hypernuclear spectroscopy at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21 Graduate school of Science, Tohoku Univ. Toshiyuki Gogami

Transcript of Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics...

Page 1: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Λ hypernuclear spectroscopy

at Jefferson LabThe 3rd Korea-Japan on Nuclear and

Hadron Physics at J-PARC, at Inha University in Korea

2014/3/20 – 2014/3/21

Graduate school of Science, Tohoku Univ.Toshiyuki Gogami

Page 2: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Contents

• Introduction• (e,e’K+) reaction experiment• JLab E05-115

• Analysis• Energy scale calibration• Binding energy systematic error estimation

• Results• 12C(e,e’K+)12

ΛB• 7Li(e,e’K+)7

ΛHe

Page 3: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Contents

• Introduction• (e,e’K+) reaction experiment• JLab E05-115

• Analysis• Energy scale calibration• Binding energy systematic error estimation

• Results• 12C(e,e’K+)12

ΛB• 7Li(e,e’K+)7

ΛHe

Page 4: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Spectroscopic experiment by the (e,e’K+) reaction

p

n

γ*

ΛK+

e-

e + p ➝ e’ + K+ + Λ

target nucleus

~ 1990’s The (K-,π-) , (π+,K+) reactions• Energy resolution ~ a few MeV• n Λ

e’-Spectrometer

K+-Spectrometer

pe’

pK+

Coincidence Missing Mass MHY

2000~The (e,e’K+) reaction• Energy resolution sub-MeV• p Λ

High intensity (~1014 Hz)Small emittance (2 μm ・ mrad)Small energy spread (ΔE/E < 10-4)

Page 5: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Spectroscopic experiment by the (e,e’K+) reaction

p

n

γ*

ΛK+

e-

e + p ➝ e’ + K+ + Λ

target nucleus

~ 1990’s The (K-,π-) , (π+,K+) reactions• Energy resolution ~ a few MeV• n Λ

e’-Spectrometer

K+-Spectrometer

pe’

pK+

Coincidence Missing Mass MHY

2000~The (e,e’K+) reaction• Energy resolution sub-MeV• p Λ

High intensity (~1014 Hz)Small emittance (2 μm ・ mrad)Small energy spread (ΔE/E < 10-4)

JLab E05-115 (2009)

Page 6: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Physics motivation for JLab E05-115• 7

ΛHe• CSB effect in ΛN interaction• Λ Glue like role

• 10ΛBe• CSB effect in ΛN interaction• Λ Glue like role• Level inversion due to nuclear deformation

• 12ΛB• Consistency confirmation with old data• Finer structures with best resolution

• 52ΛV (the first challenge for medium-heavy mass region)• Λ single particle potential

Page 7: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Physics motivation for JLab E05-115• 7

ΛHe• CSB effect in ΛN interaction• Λ Glue like role

• 10ΛBe• CSB effect in ΛN interaction• Λ Glue like role• Level inversion due to nuclear deformation

• 12ΛB• Consistency confirmation with old data• Finer structures with best resolution

• 52ΛV (the first challenge for medium-heavy mass region)• Λ single particle potential

Page 8: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

7ΛHe

hyprenucleus

Λ

αnn

Λ

αnn

+

6He 7HeΛ

Resonant state

Bound state

Unbound Bound

CSB effect

Page 9: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

CSB interaction test in A=7 iso-triplet comparison

Λpαn

Λpαp

Λαn

n

7ΛBe

7ΛLi

7ΛHeCo

unts

Coun

tsCo

unts

BΛ [MeV]

H.Tamura et al., PRL 84, 5963 (2000)

Page 10: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

CSB interaction test in A=7 iso-triplet comparison

Λpαn

Λpαp

S.N.Nakamura et al., PRL 110, 012502 (2013)

JLab E01-011-5.68 ± 0.03 ± 0.25

Λαn

n

+

Page 11: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

7ΛHe in JLab E05-115

S.N.Nakamura et al., PRL 110, 012502 (2013)

+

Resonant state

Bound state

Unbound Bound

CSB effect

JLab E05-115• Small systematic error • Observation of the excited state

-BΛ(1/2+) = -5.68 ± 0.03 ± 0.25

Page 12: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Experimental setup

Pre-chicane beam lineΔp/p ~ 2 × 10-4

Δp/p ~ 2 × 10-4

θe’ = 6.5 ± 5.0 [degree]

θK = 5.7 ± 4.6 [degree]

Page 13: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Experimental setup

Page 14: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Experimental setup

Target ([mg/cm2]) HypernucleusHyperon

Nominal beam current [A]

Run time [h] Total incident charge [C](Number of incident e-)

CH2 (450) Λ, Σ0, 12ΛB 2.0 39 0.28 (0.171019)

H2O (500) Λ, Σ0, 12ΛN 2.5 21 0.20 (0.121019)

7Li (208) 7ΛHe 35 42 4.84 (3.01019)

9Be (188) 9ΛLi 40 39 5.33 (3.31019)

10B (56) 10ΛBe 40 45 6.25 (3.91019)

12C (88) 12ΛB 20, 35 55 5.73 (3.61019)

52Cr (154) 52ΛV 7.5 230 6.35 (4.01019)

Page 15: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Contents

• Introduction• (e,e’K+) reaction experiment• JLab E05-115

• Analysis• Energy scale calibration• Binding energy systematic error estimation

• Results• 12C(e,e’K+)12

ΛB• 7Li(e,e’K+)7

ΛHe

Page 16: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Absolute energy scale calibration with Λ and Σ0

x, x’, y, y‘ @ RP

p, x’, y’ @ Target

Missing mass

Reference plane

Target

Backward transfer matrix

Page 17: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Absolute energy scale calibration with Λ and Σ0

x, x’, y, y‘ @ RP

p, x’, y’ @ Target

Missing mass

Backward transfer matrix

Tune

ITERATION

Page 18: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Λ,  Σ0 comparison

Before(Δp/p ~ 10-3)

After(Δp/p ~10-4)

4 MeV (FWHM)

1.6 MeV (FWHM)

~ 0.5 MeV (FWHM) for 12ΛB

Page 19: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Λ,  Σ0 comparison

Before(Δp/p ~ 10-3)

After(Δp/p ~10-4)

4 MeV (FWHM)

1.6 MeV (FWHM)

~ 0.5 MeV (FWHM) for 12ΛB

How good is the binding energy determined ?(Systematic error)

Page 20: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Systematic error estimation for binding energy

( TOSCA + Geant4 )

Page 21: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Systematic error estimation for binding energy

RealisticS/NYieldsEnergy straggling in targetBeam rasterSpectrometer acceptanceDetector resolution

Page 22: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Systematic error estimation for binding energy

RealisticS/NYieldsEnergy straggling in targetBeam rasterSpectrometer acceptanceDetector resolution

Com

pare

Page 23: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Systematic error estimation for binding energy

RealisticS/NYieldsEnergy straggling in targetBeam rasterSpectrometer acceptanceDetector resolution

Com

pare

keV

Page 24: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Contents

• Introduction• (e,e’K+) reaction experiment• JLab E05-115

• Analysis• Energy scale calibration• Binding energy systematic error estimation

• Results• 12C(e,e’K+)12

ΛB• 7Li(e,e’K+)7

ΛHe

Page 25: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Definition of differential cross section

Number of virtual photonincluding HES acceptance

Number of target nucleus EfficienciesHKS acceptance

Page 26: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

12C(e,e’K+)12ΛB spectrum

Preliminary

Page 27: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

12C(e,e’K+)12ΛB spectrum

(FWHM: 0.5 MeV)

Preliminary

Page 28: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

12ΛC and 12

ΛB comparison

(FWHM: 0.5 MeV)

Preliminary

H.Hotch et al., PRC64, 044302 (2001)

12ΛC

12ΛB

(FWHM: 1.4 MeV)

D.J.Millener, NPA691, 93 (2001)

T.Motoba et al., PTP suppl. 185, 224 (2012)

A.Matsumura, Doctor’s thesis (2009)

12ΛC12

ΛB

JLab E01-011

KEK E369

JLab E05-115

Calc.

Calc. ①

(π+,K+) reaction

Page 29: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

12ΛB comparison

Experiment

θγKLab [degree] -BΛ [MeV] Cross section [nb/sr] Extracted value from

Motoba-san’s predictionE05-115 6.8 -11.38 ± 0.02 ± sys. error 97.8 ± 3.6 ± 11.5 75

E01-011 5.8 -11.40 ± 0.01 ± 0.04 101 ± 4.2 (+ 38 – 31) 85

E89-009 0 -11.52 ± 0.35 140 ± 17 ± 18 120

Emulsion -11.37 ± 0.06 N/A -

Experiment

θγKLab [degree] -BΛ [MeV] Cross section [nb/sr] Extracted value from

Motoba-san’s prediction

E05-115 6.8 -0.43 ± 0.03 ± sys. error 84.1 ± 3.3 ± 9.9 85

E01-011 5.8 -0.41 ± 0.01 ± 0.13 94 ± 4.0 ±35 96

E89-009 -0.49 ± 0.16 N/A -

Page 30: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Results for 7Li(e,e’K+)7

ΛHe(FWHM: 1.3 MeV)

𝟏𝟐

+¿

,

Resonant state

Bound state

Unbound Bound

CSB effectPreliminary

Page 31: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Results of 7ΛHe

Λp

αnΛp

αp

S.N.Nakamura et al., PRL 110, 012502 (2013)

Λ

αnn

𝟏𝟐

+¿

,

JLab

E05

-115

(Pre

limin

ary)

Preliminary

JLab E01-011-5.68 ± 0.03 ± 0.25

Page 32: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Results of 7ΛHe

S.N.Nakamura et al., PRL 110, 012502 (2013)

𝟏𝟐

+¿

,

EΛ (3/2+,5/2+) [MeV]

JLab E05-115 1.900.2 sys. errorE.Hiyama et al., PRC 80, 054321 (2009)

1.70

M.Sotona et al.,PTP 117 (1994)

1.79

Page 33: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Summary

• JLab E05-115 experiment (2009)• Λ, Σ0, 7

ΛHe, 9ΛLi, 10

ΛBe, 12ΛB and 52

ΛV

• 12ΛB• Best resolution• Consistent with past experiments

• 7ΛHe• 1/2+ with small systematic error• 2+ (core) 3/2+,5/2+ (7

ΛHe) was measured

Page 34: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Outlook

• Systematic error• Fitting to the histogram• 52

ΛV

Page 35: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Backup

Page 36: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

12C(e,e’K+)12ΛB spectrum

Count Cross sectionVirtual photon fluxEfficienciesAcceptance

Page 37: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Λ binding energy for 12C(e,e’K+)12ΛB

Peak - BΛ [MeV] N [nb/sr]1 -11.380.02 76528 97.83.611.52 -8.390.05 14912 19.01.52.23 -5.200.09 13511 17.21.42.04 -1.700.07 9410 12.01.31.45 -0.430.03 65826 84.13.39.96 0.470.06 21014 26.81.73.2

(FWHM: 500 keV)

Click to see previous results

Page 38: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

12ΛB comparison

Experiment

θγKLab [degree] -BΛ [MeV] Cross section [nb/sr] Extracted value from

Motoba-san’s predictionE05-115 6.8 -11.38 ± 0.02 ± sys. error 97.8 ± 3.6 ± 11.5 75

E01-011 5.8 -11.40 ± 0.01 ± 0.04 101 ± 4.2 (+ 38 – 31) 85

E89-009 0 -11.52 ± 0.35 140 ± 17 ± 18 120

Emulsion -11.37 ± 0.06 N/A

Experiment

θγKLab [degree] -BΛ [MeV] Cross section [nb/sr] Extracted value from

Motoba-san’s prediction

E05-115 6.8 -0.43 ± 0.03 ± sys. error 84.1 ± 3.3 ± 9.9 85

E01-011 5.8 -0.41 ± 0.01 ± 0.13 94 ± 4.0 ±35 96

E89-009 -0.49 ± 0.16 N/A

Page 39: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

10B(e,e’K+)10ΛBe spectrum

Count Cross sectionVirtual photon fluxEfficienciesAcceptance

Page 40: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Λ binding energy for 10B(e,e’K+)10

ΛBe

Peak - BΛ [MeV] N [nb/sr]1 -8.550.07 20314 17.31.21.32 -5.870.17 17213 14.71.11.13 -4.960.51 537 4.50.60.34 -2.280.13 14012 12.01.00.95 -1.100.16 10710 9.10.90.76 0.270.14 11711 10.00.90.77 2.250.07 22515 19.21.31.48 11.120.15 10410 8.90.90.7

(1) T.Cantiwell et al., NPA236 (1974) 445-456(2) M.Juric et al., NPB52 (1973) 1-30

(FWHM: 780 keV)

Old data (3 points)8.910.60(1)

8.310.61(1)

9.300.26(2)

Page 41: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Λ binding energy for 10B(e,e’K+)10ΛBe

(FWHM: 780 keV)

-8.84 without CSB-8.76 with CSBHiyama’s calc.

Motoba’s calc.

Peak - BΛ [MeV] N [nb/sr]

1 -8.550.07 20314 17.31.21.3

2 -5.870.17 17213 14.71.11.1

3 -4.960.51 537 4.50.60.3

4 -2.280.13 14012 12.01.00.9

5 -1.100.16 10710 9.10.90.7

6 0.270.14 11711 10.00.90.7

7 2.250.07 22515 19.21.31.4

8 11.120.15 10410 8.90.90.7

Old data (3 points)8.910.60(1)

8.310.61(1)

9.300.26(2)

Page 42: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

7Li(e,e’K+)7ΛHe spectrum

Count Cross sectionVirtual photon fluxEfficienciesAcceptance

Page 43: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Missing mass spectra

9Be(e,e’K+)9ΛLi

52Cr(e,e’K+)52ΛV

Page 44: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

9Be(e,e’K+)9ΛLi spectrum

Count Cross sectionVirtual photon fluxEfficienciesAcceptance

Page 45: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

9Be(e,e’K+)9ΛLi spectrum

Page 46: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

9Be(e,e’K+)9ΛLi spectrum

M.Sotona and S.Frullani, PTP supplement No.117 (1994)

Page 47: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

9Be(e,e’K+)9ΛLi spectrum rough

comparisonJ.J.LeRose et al., NPA804(2008)116-124 F.Cusanno et al., NPA835(2010)129-135

Hall-AHall-A

Hall-C Hall-C

Page 48: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Missing mass spectrum of 52Cr (e,e’K+)52

ΛV

Accidental background

sΛ (?)

JLab E05-11552Cr (e,e’K+)52

ΛV

Page 49: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Missing mass spectrum of 52Cr (e,e’K+)52

ΛV

Accidental background

JLab E05-11552Cr (e,e’K+)52

ΛV

Page 50: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Missing mass spectrum of 52Cr (e,e’K+)52

ΛV

Accidental background

JLab E05-11552Cr (e,e’K+)52

ΛV

Page 51: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Summary and Outlook

• Summary• Status of spectra

• Outlook• Blind analysis systematic error for binding energy• D’s thesis

Page 52: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.
Page 53: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Energy scale calibration

x, x’, y, y‘ @ RP

p, x’, y’ @ Target

Missing mass

Inverse transfer matrix

p : Λ, Σ0 and 12ΛB-s

xp and yp : Λ and Σ0

LOOP

Tune

ITERATIONMatrix selection• Widths of Λ, Σ0, 12

ΛB-s

Create new ROOT files

Next LOOP

Page 54: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.
Page 55: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Li

Count Cross sectionVirtual photon fluxEfficienciesAcceptance

Page 56: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Λ binding energy for 7Li(e,e’K+)7

ΛHe

E01-011: -5.680.030.25 MeV

(FWHM: 1300 keV)

-5.36 without CSB-5.16 with CSBHiyama’s calc.

Peak - BΛ [MeV] N [nb/sr]

1 -5.550.10 41320 10.70.5

2 -3.650.20 24816 6.20.4

S.N.Nakamura et al., PRL 110, 012502 (2013)

𝟏𝟐

+¿

,

Preliminary

Page 57: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Λ binding energy for 7Li(e,e’K+)7

ΛHe (331 mg/cm2)

E01-011: -5.680.030.25 MeV

(FWHM: 1300 keV)

-5.36 without CSB-5.16 with CSBHiyama’s calc.

Peak - BΛ [MeV] N [nb/sr]

1 -5.750.10 46021 10.80.5

2 -3.840.16 27317 6.50.4

Page 58: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Motivation for the blind analysis

Simulation

K+ momentum

e’ m

omen

tum

Tuning

Tuning OK?Linearity

Systematic error

Ee=2.344 GeV

Page 59: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Flow chart of blind analysis

Compare

Blind

Page 60: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Systematic error for binding energy

With distorted matrices With optimized matrices

IN PROGRESS

Page 61: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Experimental setup

Data summary

Page 62: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

CSB interaction test in A=7 iso-triplet comparison

Λp

αnΛ

αnn Λp

αp

Page 63: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

CSB interaction test in A=7 iso-triplet comparison

Λp

αnΛp

αpS.N.Nakamura et al., PRL 110, 012502 (2013)

-5.68 ± 0.03 ± 0.25

Λ

αnn

+

Page 64: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Data summary

Target ([mg/cm2]) HypernucleusHyperon

Nominal beam current [A]

Run time [h] Total incident charge [C](Number of incident e-)

CH2 (450) Λ, Σ0, 12ΛB 2.0 39 0.28 (0.171019)

H2O (500) Λ, Σ0, 12ΛN 2.5 21 0.20 (0.121019)

7Li (208) 7ΛHe 35 42 4.84 (3.01019)

9Be (188) 9ΛLi 40 39 5.33 (3.31019)

10B (56) 10ΛBe 40 45 6.25 (3.91019)

12C (88) 12ΛB 20, 35 55 5.73 (3.61019)

52Cr (154) 52ΛV 7.5 230 6.35 (4.01019)

Page 65: Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics at J-PARC, at Inha University in Korea 2014/3/20 – 2014/3/21.

Data summary