Photoneutron cross section measurements with laser Compton‐scattering γ‐ray beams Hiroaki Utsunomiya (Konan University, CNS University of Tokyo) Content 1. γ‐ray sources Positron annihilation in flight vs laser inverse Compton scattering 2.Photoneutron measurements a. E1 (pygmy dipole resonance) and M1 cross sections b. Applications of the reciprocity theorem c. p‐process nucleosynthesis d. γ‐ray strength function for (n,g) c.s. for radioactive nuclei September 15 & 16, 2014 Lomonosov Moscow State University (MSU) Skobeltsyn Institute of Nuclear Physics (SINP) Department of Electromagnetic Processes and Atomic Nuclei Interactions (DEPANI)
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Photoneutron cross section measurements with laser Compton‐scattering γ‐ray beams
Hiroaki Utsunomiya
(Konan University, CNS University of Tokyo)
Content1. γ‐ray sources
Positron annihilation in flight vs laser inverse Comptonscattering2.Photoneutron measurementsa. E1 (pygmy dipole resonance) and M1 cross sections b. Applications of the reciprocity theoremc. p‐process nucleosynthesis d. γ‐ray strength function for (n,g) c.s. for radioactive nuclei September 15 & 16, 2014Lomonosov Moscow State University (MSU)Skobeltsyn Institute of Nuclear Physics (SINP)Department of Electromagnetic Processes and Atomic Nuclei Interactions (DEPANI)
γ‐ray sources: Positron annihilation in flight
e‐beam
Converter (W, Au, Ta, Pt) e‐ → e+
e+
beam
Annihilation Target 9Be
γ-ray BeamEγ = Ke+ + 3/2(mc2)
Lawrence Livermore National Laboratory (USA)
e‐ bremsstrahlungPair production
Neutron detectorBF3 counters + paraffin
Saclay (France)
Converter target
Annihilation target
Gd‐doped Liquid Scintillation tank
e+ bremsstrahlung (background)
e+‐e‐ annihilation (quasi‐monochromatic)
Subtracted
γ‐ray sources: Inverse Compton scattering
Compton scattering vs Inverse Compton scattering
Incident photon scattere
d photon
Recoiledelectron
2'
/)cos1(1 mchhh
φννν
−+=
4222'2 cmcphmch ++=+ νν
ψφνν coscos'
pc
hc
h+=
ψφν sinsin0'
pc
h−=
Lorentz factor
Compton scattering
Laser Compton scattering γ‐ray beam
γ= Ee/mc2 (Lorentz factor)� 2 x 103 Ee=1 GeV
Energy amEγ/εL=4γ2�1.6 x 107
εL� 1eVEγ � 16 MeV
7
SPring8
SACLA
NewSUBARU MeV γ
1 GeV e‐ Linac
8 GeV e‐ synchroton8 GeV e‐ linac
8 GeV e‐ storage ringLEPS, LEPS2GeV γ
NewSUBARU (Japan)
0.55 – 1.5 GeV storage ring
Eγ=0.5 – 76 MeVIγ = 106 – 107 s-1
(3 – 6 mm dia.)ΔE/E > 2%
Experimental Hutch GACKO (Gamma Collaboration Hutch of Konan University)
Table‐top Lasers
LCS γ‐ray beams and response functions of a 3.5” x 4.0” LaBr3(Ce) detector
HFB+QRPA E1 strength plus pygmy E1 resonance in Lorentzian shape
Eo = 7.5 MeV, Γ = 0.4 MeV
TRK sum rule0.42% for 208Pb0.32% for 207Pb
σo ≈ 20 mb for 208Pbσo ≈ 15 mb for 207Pb
MeVEfmeEB
430.8515.7206.0982.0)1( 22
−=⋅±↑=
(p,p’) experiment
MeVEfmeEB
32.851.709.082.0)1( 22
−=⋅±↑=
208Pb
↑)1(EB
207Pb
MeVEfmeEB
32.802.717.088.0)1( 22
−=⋅±↑=
Present
Present results
B(E1) =0.82±0.09 e2 fm2 for 208Pb E=7.51 – 8.32 MeV
B(E1) =0.88±0.17 e2 fm2 for 207Pb E=7.02 – 8.11 MeV
(p,p’) I. Poltoratska et al., PRC 85, 041304(R) (2012)B(E1) =0.982±0.206 e2 fm2 for 208Pb E=7.515 – 8.430 MeV
E1
Comparisons
M1 cross sections for 208,207Pb
Eo = 8.06 MeV, Γ= 0.6 MeVσo = 3.6 mb
M1 strength in Lorentzian shape
208Pb
Eo ≈ 7.25 MeV, Γ ≈ 1 MeVσo ≈ 3.2 mb
207Pb
B(M1)=4.2 ± 2.3 μN2 E=7.51‐8.32 MeV
B(M1)=4.0 ± 1.9 μN2 E=7.02‐7.52 MeV
Present results
B(M1) =4.2±2.3 μΝ2 for 208Pb E=7.51 – 8.32 MeV
B(M1) =4.0±1.9 μΝ2 for 207Pb E=7.02 – 7.52 MeV
M1
207Pb+n R. Köhler et al., PRC 35, 1646 (1987)B(M1) =5.8 μΝ
2 for 208Pb E=7.37 – 8.0 MeV
Comparisons
Please formulate angular distributionsfor d‐ and f‐wave neutrons.
W (θ,φ) nXXX AAA +→→+ −∗→
1γ
W s(θ,φ) =1
4π
Wpolp (θ,φ) =
38π
[sin2 θ(1+ cos2φ)]
s‐wave
p‐wave
(d, f waves)
Nucleosynthesis of light nuclei
22 )12)(12()(
)12)(12()(
bbBaaA piIba
piIab
++→
=++
→ σσ
Reciprocity Theorem A + a → B + b + QB + b → A + a – Q Q value
Equivalency between (n, γ) and (γ,n)
a=n, b=γ cE
kp γγ == pn
2 =2μEn 2jb +1→2
A X
A −1X
n
γ
Neutron Channel
ExamplesBig Bang Nucleosynthesis: p(n,γ)D vs D(γ,n)p D
p
n
d t
3He 4He
7Li
7Be
1. n ⇔ p
2. p(n,γ)d
3. d(p,γ)3He
4. d(d,n)3He
5. d(d,p)t
6. t(d,n)4He
7. t(α,γ)7Li
8. 3He(n,p)t
9. 3He(d,p)4He
10. 3He(α,γ)7Be
11. 7Li(p,α)4He
12. 7Be(n,p)7Li
1
2
5
9
3 48
10
12
11
7
6
ExamplesBig Bang Nucleosynthesis: p(n,γ)D vs D(γ,n)p
K.Y. Hara et al., PRD 68, 072001 (2003)
D
Naσ
v (×
104 c
m3 /m
ole/
s)
E (MeV)
1
2
3
45
10
20
10-8 10-6 10-4 10-2 100 102
our dataprevious datafitJENDL
Our DataBirenbaum et al. (1985)Moreh et al. (1989)Bishop et al. (1950)
Nagai et al. (1997)Suzuki et al. (1995)
JENDL(σtotal)JENDL(σM1)JENDL(σE1)σ to
tal (
mb)
Eγ (MeV)
2 3 4 5 100.2
1.0
2.0
3.0
p(n,γ)D
D(γ,n)p
D(γ,n)p
ExamplesSupernova Nucleosynthesis α α⇄ 8Be(n,γ) 9Be vs 9Be(γ,n)8Be
9Be
Hot Proto-Neutron Star
νν
p,n
R Ѓ` 10 km
R Ѓ`50 km
R Ѓ`100 km
T Ѓ` 0.5 MeV α,n
T Ѓ` 0.2 MeV
α-process
Type II Supernova
n,seeds, α
r-proces
Neutrino-Driven Wind
α,n
ExamplesSupernova Nucleosynthesis α α⇄ 8Be(n,γ) 9Be vs 9Be(γ,n)8Be
9Be
0.0
0.5
1.0
1.5
2.0
1.6 1.7 1.8 1.9 2.0
0.0
0.5
1.0
1.5
2.0
1.5 2.0 2.5 3.0 3.5 4.0 4.5
σ(m
b)
Eγ(MeV)
H. Utsunomiya et al. PRC 63, 018801 (2001)K. Sumiyoshi et al. NPA709, 467 (2002)
ExamplesSupernova Nucleosynthesis α α⇄ 8Be(n,γ) 9Be vs 9Be(γ,n)8Be
9Be
C.W. Arnold et al. PRC 85, 044605 (2012) HIGS
A new measurement has been done by Konan University and CNS, University of Tokyo etc. at the NewSUBARU synchrotron radiation facility and data reduction is in progress.
�
�� (p,
�
γ)
(γ,n)
�
�
(p,γ) + β − decay
�
� (γ,n) + (γ, p)
(γ,n) + (γ,α) + β − decay
35 neutron‐deficient nuclei from Se(Z=34) to Hg(Z=80)
p‐nuclei
Nucleosynthesis of Heavy Elements s‐process, r‐process and p‐process
p‐process nucleosynthesis
P. Mohr et al., Phys. Lett. B 488 (2000) 127H. Utsunomiya et al., Nucl. Phys. A 777 (2006) 459
λγn (T) = cnγ (E,T)σγn (E)dE0
∞
∫
nγ (E,T )dE =
1π 2
1(hc)3
E2
exp(E / kT ) −1dE
Photoreaction rates for gs
Planck distribution
Planck distr.Photoneutron CS
Gamow peak
Stellar photoreaction rate
λγnμ (T) = cnγ (E,T)σγn
μ (E )dE0
∞
∫
Photoreaction rates for a state μ
σγn
μ (Eγ ) = πDγ2 1
2(2 j μ +1)(2J +1)
Tγμ (Eγ ,J
π )Tn (E,Jπ )Ttot (E,Jπ )J π
∑
Eγ
E, Jπ
A X
A −1XSn
μ, Eμ
E=Eγ+Eμ
Tγμ (E γ ,Jπ ) = 2πεγ
3 fγ (E γ ) ↑ for E1 transition
Eγ > Sn for gs
Eγ < Sn for excited states μ
Key quantity: γ‐ray strength function fγ (Εγ)
λγn* =
(2 j μ +1)λγnμ (T)exp(−ε μ /kT)
μ∑
(2 j μ +1)exp(−ε μ /kT)μ
∑
Stellar photoreaction rate
Only naturally occurring isomer 180Tam
• Odd-odd Nucleus (Z=73, N=107)• Neutron deficient nucleus (classified as one of p-nuclei)• Solar Abundance ; 2.48×10�6(the rarest)• Half Life > 1.2×1015y• Ex = 75keV• Jπ = 9-
(n,γ) and (γ,n) are interconnected through the γ-ray strength function and the nuclear level density in the Hauser-Feshbach model.
Brink Hypothesis fXλ (εγ ) ↑≅ fXλ (εγ ) ↓
Experimental determination of γ‐ray strength function
εγ < Sn(γ, γ’) NRF dataParticle‐γ coin. data
(Oslo Method)
Sn
GDR
A‐1A‐1 AA
PDR, M1
εγ > Sn(γ.n) data
A‐1X(n, γ)AX Statistical model calculation of A‐1X(n, γ)AX cross sections with experimental γSF
A+1A+1 A+2A+2
(γ,n)
known (n, γ)
A‐1A‐1 AA
(γ,n)
GDR
Sn
PDR, M1
1. εγ > Sn(γ.n) data
2. εγ < SnExtrapolation by microscopic model
Theoretical extrapolation of γ‐ray strength function
3. Justification of γSF by reproducing known (n,γ) cross sections in the Hauser‐Feshbach model calculation
Statistical model calculation of A+1X(n,γ)A+2X cross sections with experimentally‐constrained γSF
γ‐ray Strength Function Method
Indirect determination of (n, γ) cross sections for unstable nuclei based on a unified understanding of (γ,n) and (n, γ) reactions through the γ‐ray strength function
The best understanding of the γ SF with PDR and M1 resonance is obtained by integrating
• (γ, n) data• (γ, γ’) NRF data • Particle‐γ coin. data , Oslo Method• Existing (n, γ) data
H. Utsunomiya et al., Phys. Rev. C 80, 055806 (2009)
1. Nuclear Astrophysicss‐process branch‐point nuclei: unstable nuclei along the line of β‐stability
20 3He proportional countersembedded in polyethylene moderator Triple‐ring configuration1st ring of 4 counters2nd ring of 8 counters3rd ring of 8 counters
180Ta(γ,n) & 138La(γ,n) measurement
Day 1 Experiment #1
4π Neutron Detector
Resonances above Sn
207Pb(γ,n) 208Pb(γ,n)
C.D. Berman et al., PRL25, 1302 (1970)R.J. Baglan et al., PRC3, 2475 (1971)
PDR and M1 resonance in 207Pb ‐ 207Pb(γ,n) measurement ‐
Day 1 Experiment #2
Exclusive neutron decays of GDR in 159Tb
• 159Tb(γ,xn) x= 1, 2, 1g/cm2
• Sn = 8.133 MeV
• S2n = 14.911 MeV
159Tb
n+ 158Tb
2n+ 157Tb
in collaboration with Vladimir Varlamov
Eγ(max) = 19 MeV σ(γ,2n)
σ(γ,n)
IAEA –TECDOC‐1178
Day 1 Experiment #3
Summary
• Photonuclear reactions had a glorious days in 1950 through 1980 in the study of GDR with the γ‐ray source of positron annihilation in flight. Then, they have slowly faded away toward 1990.
• Photonuclear reactions have revised with the new γ‐ray source of laser inverse Compton scattering in the context of nuclear astrophysics at the turn of the 21st century.
• ELI‐NP will open up a new era of photonuclear reactions in nuclear science with intense laser and γ‐ray beams.