Low-energy M1 strength within the shell model R. Schwengner1, S. Frauendorf2, A. C. Larsen3 1
Institut f¨ur Strahlenphysik, Helmholtz-Zentrum Dresden-Rossendorf, 01314 Dresden, Germany 2
Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556, USA 3
Department of Physics, University of Oslo, 0316 Oslo, Norway
Text optional: Institutsname Prof. Dr. Hans Mustermann www.fzd.de Mitglied der Leibniz-Gemeinschaft Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Dipole strength in
94
Mo
Dipole strength function f1 = σγ /[3(π¯hc)2Eγ ] f1 = Γ ρ(Ex , J)/Eγ3
(γ, γ’) up to 4 MeV: N. Pietralla et al., PRL 83, 1303 (1999)
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Dipole strength in
94
Mo
Dipole strength function f1 = σγ /[3(π¯hc)2Eγ ] f1 = Γ ρ(Ex , J)/Eγ3
(γ, γ’) from 4 MeV to Sn : G. Rusev et al., PRC 79, 061302 (2009)
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Dipole strength in
3
94
Mo
94
( He,3He’) Mo, Oslo data, E&B2009 norm. -6
Mo(γ ,x)
E1 strength
-3
γ -ray strength function (MeV )
10
Dipole strength function f1 = σγ /[3(π¯hc)2Eγ ] f1 = Γ ρ(Ex , J)/Eγ3
94
M1 strength
10-7
Sum of E1 and M1
10-8
94
10-9
Mo(3He,3 He’):
M. Guttormsen et al., 0
2
4
6 8 10 12 14 γ -ray energy Eγ (MeV)
16
PRC 71, 044307 (2005)
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Dipole strength in
95
Mo
Dipole strength function f1 = σγ /[3(π¯hc)2Eγ ] f1 = Γ ρ(Ex , J)/Eγ3
94
Mo(d,p)95 Mo:
M. Wiedeking et al., PRL 108, 162503 (2012)
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Experimental B(M1) and B(E1) values in nuclei around A = 90
0.7 0.6
E1: 171 transitions
0.5
2
2
B(M1) (µN )
2
M1: 312 transitions
B(E1) (10 e fm )
< < 88 = A = 98
−2
0.4 0.3 0.2 0.1
Data taken from NNDC data base:
0
http://www.nndc.bnl.gov/nudat2/ 0
500
1000
1500
2000
Eγ (keV)
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Shell-model calculations around N = 50 ◦ 94Mo/95Mo: Z = 40 + two 0g9/2 protons, N = 50 + two/three 1d5/2 neutrons. ◦ Shell-model calculations possible – calculation of M1 transition strengths. ◦ Up to now: Code RITSSCHIL used to describe M1 sequences at high spin in nuclides with N = 46 to 54. ◦ Present task: Calculation of B(M1) values of transitions between many states far from yrast, approaching the quasicontinuum. Determination of average B(M1) values in energy bins. ◦ Calculations for 94Mo, 95Mo and for the Z = 40, N = 50 nuclide 90Zr for comparison.
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Shell-model calculations around N = 50 Configuration space SM1: π
Two-body matrix elements: ππ: empirical from fit to N=50 nuclei, 78Ni core; X. Ji, B.H. Wildenthal, PRC 37 (1988) 1256
ν 1d5/2
0g9/2
0g9/2
1p1/2
1p1/2
50
πν, νν (0g9/2 ,1p1/2 ): emp. from fit to N=48,49,50 nuclei, 88Sr core; R. Gross, A. Frenkel, NPA 267 (1976) 85 πν (π0f5/2,ν0g9/2 ): experimental from transfer reactions; P.C. Li et al., NPA 469 (1987) 393
1p3/2 0f 5/2
28
Core 66 28 Ni 38
Code: RITSSCHIL
νν (0g9/2,1d5/2 ): exp. from energies of the multiplet in 88Sr; P.C. Li, W.W. Daehnick, NPA 462 (1987) 26 remaining: MSDI; K. Muto et al., PLB 135 (1984) 349
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Shell-model calculations around N = 50 Configuration space SM2: π
Two-body matrix elements: ππ: empirical from fit to N=50 nuclei, 78Ni core; X. Ji, B.H. Wildenthal, PRC 37 (1988) 1256
ν 0g 7/2 1d5/2
1p1/2
πν, νν (0g9/2 ,1p1/2 ): emp. from fit to N=48,49,50 nuclei, 88Sr core; R. Gross, A. Frenkel, NPA 267 (1976) 85
1p3/2 0f
πν (π0f5/2,ν0g9/2 ): experimental from transfer reactions; P.C. Li et al., NPA 469 (1987) 393
0g9/2
0g9/2
50
5/2
28
Core 68 28 Ni 38
Code: RITSSCHIL
νν (0g9/2,1d5/2 ): exp. from energies of the multiplet in 88Sr; P.C. Li, W.W. Daehnick, NPA 462 (1987) 26 remaining: MSDI; K. Muto et al., PLB 135 (1984) 349
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Shell-model calculations around N = 50 Truncations in configuration space SM1: ◦
◦
90
Zr: – 4 protons may be lifted from the fp subshell to the 0g9/2 orbit. – 1 neutron may be excited from the 0g9/2 orbit to the 1d5/2 orbit.
94
Mo and 95Mo: – 4 protons may be lifted from the fp subshell to the 0g9/2 orbit. – 10 neutrons are in the 0g9/2 orbit and 2 in the 1d5/2 orbit.
Truncations in configuration space SM2: ◦
◦
90
Zr: – 2 protons may be lifted from the 1p1/2 orbit to the 0g9/2 orbit. – 1 neutron from the 0g9/2 orbit may be excited to the 1d5/2 orbit and 1 neutron to the 0g7/2 orbit or 2 neutrons from the 0g9/2 orbit may be excited to the 0g7/2 orbit.
94
Mo and 95Mo: – 2 protons may be lifted from the 1p1/2 orbit to the 0g9/2 orbit. – 1 neutron from the 0g9/2 orbit and 1 neutron from the 1d5/2 orbit may be excited to the 0g7/2 orbit or 1 neutron may be lifted from the 0g9/2 orbit to the 1d5/2 orbit and 1 neutron from the 1d5/2 orbit to the 0g7/2 orbit.
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Level energies in
90
Zr
10
14 13
90
9
Zr shell model SM1 π=+
8
90
Zr shell model SM2
12
π=+
11 10
7
9
Ex (MeV)
Ex (MeV)
6 5 4
8 7 6 5
3
4 3
2
2
1
1 0
0 0
1
2
3
4
5
J
6
7
8
9
10 11
0
1
2
3
4
5
6
J
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Level energies in
94
Mo
7
10 9
94
Mo shell model SM2
π=+
π=+
8
5
7 6
Ex (MeV)
4
Ex (MeV)
94
Mo shell model SM1
6
3
5 4 3
2
2 1 1 0
0 0
1
2
3
4
5
J
6
7
8
9
10
0
1
2
3
4
5
6
J
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Level energies in
94
Mo and
90
Zr
10
14 13
9
94
Mo shell model SM2 π=+
8
90
Zr shell model SM2
12
π=+
11 10
7
9
Ex (MeV)
Ex (MeV)
6 5 4
8 7 6 5
3
4 3
2
2
1
1 0
0 0
1
2
3
J
4
5
6
0
1
2
3
4
5
6
J
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Level energies in
94
Mo and
95
Mo
10
10
9
9
94
95
Mo shell model SM2 π=+
8 7
7
6
6
5 4
5 4
3
3
2
2
1
1
0
0 0
1
2
3
J
π=+
8
Ex (MeV)
Ex (MeV)
Mo shell model SM2
4
5
6
0.5
1.5
2.5
3.5
4.5
5.5
6.5
J
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Average M1 strengths in
94
Mo in SM1 and SM2
0.3
0.3 94
94
Mo shell model SM2 J = 0i to 6i, i = 1 to 40
(π = +, 14276 transitions)
0.2
0.1
0
0
2000
4000
6000
(π = +, 14276 transitions)
0.2
(π = −, 14270 transitions)
2
B(M1) (µN )
(π = −, 14271 transitions)
2
B(M1) (µN )
Mo shell model SM1 J = 0i to 6i, i = 1 to 40
8000
0.1
0
0
Eγ (keV)
2000
4000
6000
8000
Eγ (keV)
◦ Average B(M1) values in bins of 100 keV of transition energy. ⇒ Enhancement of M1 strength toward very low transition energy in the two configuration spaces. ⇒ Large M1 strength around E γ = 7 MeV caused by 0 → 1 and 1 → 0 transitions with dominating 1 ν(0g−1 9/2 0g7/2 ) spin-flip configuration.
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Average M1 strengths in
90
Zr and
94
Mo
0.5
0.3 90
94
Zr shell model SM2 J = 0i to 6i, i = 1 to 40
0.4
Mo shell model SM2 J = 0i to 6i, i = 1 to 40
B(M1) (µN )
(π = −, 14278 transitions)
0.3
(π = +, 14276 transitions)
0.2
(π = −, 14270 transitions)
2
2
B(M1) (µN )
(π = +, 14279 transitions)
0.2
0.1
0.1
0
0
2000
4000
Eγ (keV)
6000
8000
0
0
2000
4000
6000
8000
Eγ (keV)
⇒ Enhancement of M1 strength toward very low transition energy in the N = 50 nuclide
90
Zr as well.
90 ⇒ Total M1 strength of 1+ → 0+ 1 transitions around 8 MeV in Zr is in agreement with results of an experiment at HIγS [G. Rusev et al., PRL 110, 022503 (2013)].
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Average M1 strengths in
95
Mo and
94
Mo
0.3
0.3 95
94
Mo shell model SM2 J = 0i to 6i, i = 1 to 40
(π = +, 15057 transitions)
0.2
0.1
0
0
2000
4000
6000
(π = +, 14276 transitions)
0.2
(π = −, 14270 transitions)
2
B(M1) (µN )
(π = −, 15056 transitions)
2
B(M1) (µN )
Mo shell model SM2 J = 1/2i to 13/2i, i = 1 to 40
8000
0.1
0
0
2000
4000
Eγ (keV)
6000
8000
Eγ (keV)
◦ Average B(M1) values in bins of 100 keV of transition energy. ⇒ Enhancement of M1 strength toward very low transition energy in the two isotopes. 1 ⇒ ν(1d25/2 0g17/2) configuration preferred to ν(1d35/2 0g−1 9/2 0g7/2 ) configuration in
95
Mo.
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Average M1 strengths in
90
Zr and
94
Mo
1.2
1 90
(π = +, 14279
transitions)
(π = −, 14278
transitions)
0.6 0.4
(π = −, 14270 transitions)
0.6
0.4
0.2
0.2 0
(π = +, 14276 transitions) 2
2
0.8
Mo shell model SM2 J = 0i to 6i, i = 1 to 40
0.8
B(M1) (µN )
1
B(M1) (µN )
94
Zr shell model SM2 J = 0i to 6i, i = 1 to 40
0
2000
4000
6000
8000
10000 12000
0
Ei (keV)
0
2000
4000
6000
8000
Ei (keV)
◦ Average B(M1) values in bins of 100 keV of excitation energy. ◦ ◦
90
Zr: Large peaks between about 5.9 and 7.5 MeV for π = – arise from states dominated by −1 1 1 the configuration π(1p−1 1/2 0g9/2 ) ν(0g9/2 1d5/2 ).
94
Mo: Large peaks between about 1.5 and 3.0 MeV for π = + and π = – arise from states dominated by 2 3 the configurations π(0g29/2) ν(1d25/2 ) and π(1p−1 1/2 0g9/2 ) ν(1d5/2 ), respectively.
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Average M1 strengths in
95
Mo and
94
Mo
1
1 95
94
Mo, shell model J = 1/2i to 13/2i, i = 1 to 40
0.8
Mo shell model SM2 J = 0i to 6i, i = 1 to 40
0.8
(π = +, 14276 transitions)
(π = −, 15056 transitions)
2
0.6
B(M1) (µN )
2
B(M1) (µN )
(π = +, 15057 transitions)
0.4
0.2
0
(π = −, 14270 transitions)
0.6
0.4
0.2
0
2000
4000
6000
8000
0
Ei (keV)
0
2000
4000
6000
8000
Ei (keV)
◦ Average B(M1) values in bins of 100 keV of excitation energy. ◦ ◦
95
Mo: Large peaks between about 0.9 and 2.2 MeV for π = + and π = – arise from states dominated by 3 3 the configurations π(0g29/2) ν(1d35/2 ) and π(1p−1 1/2 0g9/2 ) ν(1d5/2 ), respectively.
94
Mo: Large peaks between about 1.5 and 3.0 MeV for π = + and π = – arise from states dominated by 2 3 the configurations π(0g29/2) ν(1d25/2 ) and π(1p−1 1/2 0g9/2 ) ν(1d5/2 ), respectively.
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Average M1 strengths in
90
Zr and
94
Mo
0.2
0.15 90
94
Zr shell model SM2 J = 0i to 6i, i = 1 to 40
0.15
Mo shell model SM2 J = 0i to 6i, i = 1 to 40
(π = +, 14279 transitions)
(π = −, 14270 transitions)
2
B(M1) (µN )
2
B(M1) (µN )
(π = −, 14278 transitions)
(π = +, 14276 transitions)
0.1
0.1
0.05
0.05
0
0
1
2
3
4
5
Ji
6
0
0
1
2
3
4
5
6
Ji
◦ Average B(M1) values vs. initial spin. ◦
94
Mo: Staggering of the values for π = +. Large B(M1) values for transitions from states with the main configuration π(0g29/2 ) ν(1d25/2 ) and even spins.
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Average M1 strengths in
95
Mo and
94
Mo
0.15
0.15 95
94
Mo shell model SM2 J = 0i to 6i, i = 1 to 40
(π = +, 15057 transitions)
0.1
0.05
0
0.5
1.5
2.5
3.5
4.5
(π = +, 14276 transitions)
0.1
(π = −, 14270 transitions)
2
B(M1) (µN )
(π = −, 15056 transitions)
2
B(M1) (µN )
Mo, shell model J = 1/2i to 13/2i, i = 1 to 40
5.5
Ji
6.5
0.05
0
0
1
2
3
4
5
6
Ji
◦ Average B(M1) values vs. initial spin. ◦
94
Mo: Staggering of the values for π = +. Large B(M1) values for transitions from states with the main configuration π(0g29/2 ) ν(1d25/2 ) and even spins.
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Shell-model calculations for
94
Mo
Configurations that generate large M1 transition strengths (active orbits with jπ 6= 0 and jν 6= 0): ν(1d25/2) ◦ π = +: π(0g29/2) 2 3 ) ν(1d 0g π = –: π(1p−1 5/2) 9/2 1/2 ν(1d15/2 0g17/2) ◦ π = +: π(0g29/2) 3 1 1 0g ) ν(1d π = –: π(1p−1 0g 9/2 5/2 7/2) 1/2 1 0g ν(1d25/2 0g−1 ◦ π = +: π(0g29/2) 7/2) 9/2 −1 3 1 2 0g 0g ) ν(1d π = –: π(1p−1 0g 9/2 7/2). 5/2 1/2 9/2
◦ π = +:
1 ν(1d25/2 0g−1 9/2 0g7/2)
⇒ “Mixed-symmetry” and spin-flip configurations.
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Shell-model calculations for
90
Zr
Configurations that generate large M1 transition strengths (active orbits with jπ 6= 0 and jν 6= 0): −1 1 2 ◦ π = +: π(1p−2 1d ) ν(0g 0g 5/2) 9/2 9/2 1/2 −1 1 1 1d 0g ) ν(0g π = –: π(1p−1 5/2) 9/2 9/2 1/2 −1 1 2 ) ν(0g 0g ◦ π = +: π(1p−2 9/2 9/2 0g7/2) 1/2 −1 1 1 π = –: π(1p−1 1/2 0g9/2) ν(0g9/2 0g7/2)
◦ π = +:
1 0g ν(0g−1 7/2) 9/2
⇒ “Mixed-symmetry” and spin-flip configurations.
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Generation of large M1 strengths
J+1 J Jπ
Jπ Jν Jν M1
~µ =
Z X
glπ~lπ + gsπ~sπ +
N X
glν~lν + gsν~sν
B(M 1, Ji → Jf ) = (2Ji + 1)−1 |hf kb µkii |2
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Generation of large M1 strengths
J+1 J Jπ
Jπ Jν Jν M1
⇒ Configurations including protons and neutrons in specific high-j orbits with large magnetic moments. ⇒ Coherent superposition of proton and neutron contributions for specific combinations of g π and g ν factors and relative phases (“mixed symmetry”). ⇒ Large M1 strengths appear between states with equal configurations by a recoupling of the proton and neutron spins.
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Generation of large M1 strengths
Analogous “shears mechanism” in magnetic rotation
Examples near A = 90:
82
Rb,
84
Rb
H. Schnare et al., PRL 82, 4408 (1999).
B(M1) ∼ µ2⊥
R.S. et al., PRC 66, 024310 (2002).
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Dipole strength in
3
94
Mo
94
( He,3He’) Mo, Oslo data, E&B2009 norm. -6
Mo(γ ,x)
E1 strength
-3
γ -ray strength function (MeV )
10
Dipole strength function f1 = σγ /[3(π¯hc)2Eγ ] f1 = Γ ρ(Ex , J)/Eγ3
94
M1 strength
10-7
Sum of E1 and M1
10-8
94
10-9
Mo(3He,3 He’):
M. Guttormsen et al., 0
2
4
6 8 10 12 14 γ -ray energy Eγ (MeV)
16
PRC 71, 044307 (2005)
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
M1 strength function in
94
Mo
Dipole strength function f1 = 11.5473 B(M1) ρ(Ex , J)
94
Mo shell model SM2 J = 0i to 6i, i = 1 to 40 3
3
( He, He’) data
−3
fM1 (10 MeV )
100
10
−9
M1 model
ρ(Ex , J) - level density of the shell-model states, includes π = +, π = −, all spins from 0 to 6.
1
0
94
0
2000
4000
6000
Eγ (keV)
8000
10000
Mo(3He,3 He’):
M. Guttormsen et al., PRC 71, 044307 (2005)
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Summary • Calculation of a large number of M1 transition strengths between the lowest 40 states each with spins 0 to 6 in 90Zr, 94Mo and spins 1/2 to 13/2 in 95Mo. • The calculations show an enhancement of the average B(M1) values toward very low transition energy. • Enhanced M1 strength at low energy is generated by transitions between closely lying states of all considered spins. • Large M1 strengths result from a recoupling of the spins of specific proton and neutron orbits. • Large M1 strengths at about 8 MeV are generated by the spin-flip configuration −1 0g17/2). ν(0g9/2 • A dipole strength function deduced from the average calculated B(M1) values in 94Mo is in agreement with a strength function deduced from a (3He,3He’) experiment.
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Simulations of γ-ray cascades Monte Carlo simulations of γ-ray cascades from groups of levels in 100 keV bins (G. Rusev, dissertation)
Γ Γ0 Γ1 Γ2
E J π
⇒ Level scheme of J = |J0 ± 1, 2| states constructed by using: ◦ Backshifted Fermi-Gas Model with level-density parameters from T. v. Egidy, D. Bucurescu, PRC 80, 054310 (2009) ◦ Wigner level-spacing distributions ⇒ Partial decay widths calculated by using: ◦ Photon strength functions approximated by Lorentz curves (www-nds.iaea.org/RIPL-2). E 1: parameters from fit to (γ,n) data M1: global parametrisation of spin-flip resonances E 2: global parametrisation of isoscalar resonances ◦ Porter-Thomas distributions of decay widths. ⇒ Feeding intensities subtracted and intensities of g.s. transitions corrected with calculated branching ra0 tios Γ0/Γ .
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Simulations of γ-ray cascades
1.0 86
1.0
Ground−state transitions
Iγ (arb. units)
Iγ (arb. units)
Kr
0.5 Branching transitions
139
La
Ground−state transitions
0.5
Branching transitions
0.0
0
1
2
3
4
5
6
7
8
9
10
Eγ (MeV)
0.0
2
3
4
5
6
7
8
9
10
Eγ (MeV)
Simulated intensity distribution of transitions depopulating levels in a 100 keV bin around 9 MeV. ⇒ Subtraction of intensities of branching transitions.
86
Kr data: R.S. et al., PRC 87, 024306 (2013). 139 La data: A. Makinaga et al., PRC 82, 024314 (2010). Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Simulations of γ-ray cascades
100 100 86
139
Kr
La
80
b0 (%)
60
60
∆
∆
b0 (%)
80
40
20
20 0
40
4
5
6
7
8
9
10
Ex (MeV)
0
2
3
4
5
6
7
8
9
10
Ex (MeV)
Distribution of branching ratios b0 = Γ0/Γ versus the excitation energy as obtained from the simulations of γ-ray cascades. ⇒ Estimate of Γ0 and σγ . 86
Kr data: R.S. et al., PRC 87, 024306 (2013). 139 La data: A. Makinaga et al., PRC 82, 024314 (2010). Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Branching ratios in
136
Ba from measurements at HIγS
Response-corrected spectra. Simulated spectra of γ rays scattered by atomic processes. Subtracted spectra contain bunches of transitions to the ground state and to excited states.
R. Massarczyk et al., PRC 86, 014319 (2012).
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Test of simulated branching ratios - measurements at HIγS 100
Red circles: 136
with monoenergetic γ rays at HIγS (∆E ≈ 200 keV).
60
∆
b0 (%)
Branching ratios deduced from measurements
Ba
80
Black squares:
40
Distribution of branching ratios b0 = Γ0/Γ versus the excitation energy as obtained from
20
simulations of γ-ray cascades 0
(values of 10 realizations). 4
5
6
7
8
9
Ex (MeV)
R. Massarczyk et al., PRC 86, 014319 (2012).
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Absorption cross section of
136
Ba,
138
Ba
3
10
136
Ba
2
σγ (mb)
10
(γ,γ’) 1
10
Sn 0
10
4
6
8
10
12
14
16
18
Ex (MeV)
ELBE data for 136Ba R. Massarczyk et al., PRC 86, 014319 (2012)
HIGS data for 138Ba A. Tonchev et al., PRL 104, 072501 (2010)
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Absorption cross section of
139
La,
138
Ba
La (γ,n)
100
(γ,γ’)corr
σγ (mb)
139
(γ,n)
10
(γ,γ’)uncorr 1
Sn 5
6
7
8
9 10 11 12 13 14 15 16 17 18
Ex (MeV)
ELBE data for 139La R. Makinaga et al., PRC 82, 024314 (2010)
HIGS data for 138Ba A. Tonchev et al., PRL 104, 072501 (2010)
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de
Announcement
The Fifteenth International Symposium on Capture Gamma-Ray Spectroscopy and Related Topics (CGS15) will take place in Dresden, Germany, from August 25 to August 29, 2014. We are looking forward to seeing you there.
Ronald Schwengner | Institut für Strahlenphysik | http://www.hzdr.de