A.I. Sanda Nagoya University Nagoya Japan FPCP2004 Daegu, KOREA.
Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics...
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Transcript of Λ hypernuclea r spectroscop y at Jefferson Lab The 3 rd Korea-Japan on Nuclear and Hadron Physics...
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
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
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
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)
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)
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
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
7ΛHe
hyprenucleus
Λ
αnn
Λ
αnn
+
6He 7HeΛ
Resonant state
Bound state
Unbound Bound
CSB effect
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)
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
+
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
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]
Experimental setup
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)
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
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
Absolute energy scale calibration with Λ and Σ0
x, x’, y, y‘ @ RP
p, x’, y’ @ Target
Missing mass
Backward transfer matrix
Tune
ITERATION
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
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)
Systematic error estimation for binding energy
( TOSCA + Geant4 )
Systematic error estimation for binding energy
RealisticS/NYieldsEnergy straggling in targetBeam rasterSpectrometer acceptanceDetector resolution
Systematic error estimation for binding energy
RealisticS/NYieldsEnergy straggling in targetBeam rasterSpectrometer acceptanceDetector resolution
Com
pare
Systematic error estimation for binding energy
RealisticS/NYieldsEnergy straggling in targetBeam rasterSpectrometer acceptanceDetector resolution
Com
pare
keV
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
Definition of differential cross section
Number of virtual photonincluding HES acceptance
Number of target nucleus EfficienciesHKS acceptance
12C(e,e’K+)12ΛB spectrum
Preliminary
sΛ
pΛ
12C(e,e’K+)12ΛB spectrum
(FWHM: 0.5 MeV)
Preliminary
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
①
②
③
③
②
(π+,K+) reaction
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 -
SΛ
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 -
pΛ
Results for 7Li(e,e’K+)7
ΛHe(FWHM: 1.3 MeV)
𝟏𝟐
+¿
,
Resonant state
Bound state
Unbound Bound
CSB effectPreliminary
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
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
EΛ
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
Outlook
• Systematic error• Fitting to the histogram• 52
ΛV
Backup
12C(e,e’K+)12ΛB spectrum
Count Cross sectionVirtual photon fluxEfficienciesAcceptance
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
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
SΛ
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
pΛ
10B(e,e’K+)10ΛBe spectrum
Count Cross sectionVirtual photon fluxEfficienciesAcceptance
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)
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)
7Li(e,e’K+)7ΛHe spectrum
Count Cross sectionVirtual photon fluxEfficienciesAcceptance
Missing mass spectra
9Be(e,e’K+)9ΛLi
52Cr(e,e’K+)52ΛV
9Be(e,e’K+)9ΛLi spectrum
Count Cross sectionVirtual photon fluxEfficienciesAcceptance
9Be(e,e’K+)9ΛLi spectrum
9Be(e,e’K+)9ΛLi spectrum
M.Sotona and S.Frullani, PTP supplement No.117 (1994)
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
Missing mass spectrum of 52Cr (e,e’K+)52
ΛV
Accidental background
sΛ (?)
JLab E05-11552Cr (e,e’K+)52
ΛV
Missing mass spectrum of 52Cr (e,e’K+)52
ΛV
Accidental background
JLab E05-11552Cr (e,e’K+)52
ΛV
Missing mass spectrum of 52Cr (e,e’K+)52
ΛV
Accidental background
JLab E05-11552Cr (e,e’K+)52
ΛV
Summary and Outlook
• Summary• Status of spectra
• Outlook• Blind analysis systematic error for binding energy• D’s thesis
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
Li
Count Cross sectionVirtual photon fluxEfficienciesAcceptance
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
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
Motivation for the blind analysis
Simulation
K+ momentum
e’ m
omen
tum
Tuning
Tuning OK?Linearity
Systematic error
Ee=2.344 GeV
Flow chart of blind analysis
Compare
Blind
Systematic error for binding energy
With distorted matrices With optimized matrices
IN PROGRESS
Experimental setup
Data summary
CSB interaction test in A=7 iso-triplet comparison
Λp
αnΛ
αnn Λp
αp
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
+
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)
Data summary