Low-spin structure of 21 Bi investigated in cold-neutron capture reaction on 29 Bi Natalia Cieplicka, S. Leoni, B. Fornal INFN, Sezione di Milano 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Physics motivation hy the 21 Bi nucleus is an ideal nucleus for testing the shell-model calculations? A rich ground for comparisons with theory, also states arising from coupling of proton and neutron particles excitations to the 3 first excited state of octupole character in doubly-magic 28 Pb are also expected. The unknown multipolarity of the main transition feeding the ground state introduced rather large uncertainties in measurements of the capture cross section to the ground state in 21 Bi. Z=82 N=126 The measured lifetimes may be compared to predictions of shell-model calculations. 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Physics motivation hy the 21 Bi nucleus is an ideal nucleus for testing the shell-model calculations? A rich ground for comparisons with theory, also states arising from coupling of proton and neutron particles excitations to the 3 first excited state of octupole character in doubly-magic 28 Pb are also expected. Z=82 N=126 The unknown multipolarity of the main transition feeding the ground state introduced rather large uncertainties in measurements of the capture cross section to the ground state in 21 Bi. 28 Pb 21 Bi The measured lifetimes may be compared to predictions of shell-model calculations. 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Physics motivation hy the 21 Bi nucleus is an ideal nucleus for testing the shell-model calculations? A rich ground for comparisons with theory, also states arising from coupling of proton and neutron particles excitations to the 3 first excited state of octupole character in doubly-magic 28 Pb are also expected. The unknown multipolarity of the main transition feeding the ground state introduced rather large uncertainties in measurements of the capture cross section to the ground state in 21 Bi. 28 Pb 21 Bi 4-, 5-465 Z=82 2-9- T 1/2 271 32 1- N=126 The measured lifetimes may be compared to predictions of shell-model calculations. 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Experiment ILL Grenoble (PF1B line) 8 EXOGAM clovers 6 GASP detectors 2 ILL clovers n 29 Bi γ 21 Bi γ γ Cold neutron flux of 2 1 1 /(ns cm 2 ) from the ILL reactor with energy < 5 mev 29 Bi solid target (3g) Population of capture state in 21 Bi at binding energy of 4.6 MeV 16 Ge detectors of EXILL array: 8 of EXOGAM, 6 of GASP, and 2 from ILL collaboration coincidence measurements of gamma rays 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Experiment ILL Grenoble (PF1B line) 8 EXOGAM clovers 6 GASP detectors 2 ILL clovers 16 Ge detectors of EXILL array: 8 of EXOGAM, 6 of GASP, and 2 from ILL collaboration coincidence measurements of gamma rays 8 detectors of EXOGAM arranged into ring around the target at every 45 so angular correlation measurements could be performed Measurements of the lifetimes with FATIMA detectors 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Experimental results: level scheme n 29 Bi γ 21 Bi γ γ γ 9/2 (4, 5 ) 4.6 MeV 29 Bi Capture state at neutron binding energy 1 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
gate 32 465 21 Bi 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215 32
32 674 gate 2599 113 465 2599 113 674 21 Bi 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215 32
Experimental results: level scheme 64 primary transitions (4 new) Population of neutron capture state at 465.2(1) kev 465 7 excited states (31 new) 21 Bi 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Angular correlations of g rays from 21 Bi The angular correlation function for a pair of coincident g rays connecting the nuclear states with spins J i J J f is usually expressed as: g 1 3+ 674 993 (Θ) = 1 + A 2 P 2 (cos Θ) + A 4 P 4 (cos Θ) Θ the angle between the direction of emission of two g rays g 2 2-1- 32 32 P n (cos Θ) Legendre polynomials A n =q n A(1)A(2) the coefficients which depend on the attenuation factor q n as well as on the multipolarities of 1 and 2 g rays and the spins of involved nuclear states q 2 =.86(2) q 4 =.6(3) 674 kev degree 45 degree 9 degree Normalization: number of pairs of the detectors, efficiency (Θ) norm =.495(5) (4 combinations) norm45 = 2.2(12) (16 combinations) norm9 = 1 (8 combinations) 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Spin-parity number of the capture state 4 (4, 5 ) 4 5 5 465.2 2 15 32-4257 J=2 2 15 1337-2829 J=1 1 5 1 5 2828 (E1).95.9.85 A 2 =-.5(2), A 4 =.4(3).95.9.85 A 2 =.1(2), A 4 =.4(4) 3633 (E2) 4257 (E2) 2 15 49-3633 J=2 6 + 1777 1 5 experiment 1337(E1).95.9.85 A 2 =-.8(3), A 4 =.4(5) theory 1 2 972 1 49 (M1) 563 5 439 3 348 32 2 32 (M1) 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215 21 Bi
Multipolarity of the main transition leading to the ground state Not confirmed experimentally M1 multipolarity of 32-keV line A. Borella et al., Nucl. Phys. A 85, 1 (211) Thermal capture cross section for the 29 Bi(n,g) 21 Bi reaction to the ground state [mb] 1% M1 5% M1 +5 % E2 1% E2 25(.9) 19.3(.8) 17.2(.7) 4-, 5-465 A. Borella et al., AIP Conf. Proc. 769, 648 (25) 2-32 9-271 32 (M1) T1/2 = 3.4 x 1 6 y 1-5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Multipolarity of the 32-keV line 2 1175-32 2 124-32 2 1337-32 1 1 1.9 A 2 =.4(3), A 4 =.3(6).9 A 2 =.7(3), A 4 =-.1(6).9 A 2 =.5(3), A 4 =-.2(7).8 Pure E1-M1 A 2 =.6, A 4 =..8 Pure E1-M1 A 2 =.7, A 4 =..8 Pure E1-M1 A 2 =.7, A 4 =. 2 674-32 (6+) (5+) (4+) 1777 177 1524 1.9.8 A 2 =.3(1), A 4 =-.1(2) Pure E1-M1 A 2 =.5, A 4 =. 5-2- 1-1337 124 (E1) (E1) 1175 (E1) 4-32 3- (M1) (3+) 674 (E1) 993 32 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
3 2 113-32 113-674 3 2 1 1.9.9.8.7 A 2 =.1(5), A 4 =-.1(11).8.7 A 2 =.1(2), A 4 =.1(4) δ 32 =.4 δ 674 =.1 δ 113 =-.15(1) δ 113 =-.15(4) (4) 27 χ 2 = A 2_exp A 2 δ 1,δ 2 A 2_exp 2 + A 4_exp A 4 δ 1,δ 2 A 4_exp 2 3+ 113 993 2-1- 674 32 32 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
3 2 113-32 113-674 3 2 δ 113 =-.15 4-, 5-465 1.9.8.7 A 2 =.1(5), A 4 =-.1(11) 1.9.8.7 A 2 =.1(2), A 4 =.1(4) δ 674 =.1(3) δ 32 =.4(8) 381 255 3 2 1.9.8.7 255-674 A 2 =-.13(2), A 4 =-.2(5) 3 2 1.9.8.7 255-32 A 2 =-.14(2), A 4 =-.3(3) δ 255 =.55 δ 674 =.15(29) δ 32 =.36(2) 4+ (5) (4) 1524 113 21 27 3 2 1.9.8.7 381-32 A 2 =.7(2), A 4 =.3(4) 3 2 1.9.8.7 381-674 A 2 =.7(2), A 4 =-.1(5) δ 381 =-.37 δ 674 =.9(56) δ 32 =.5(5) 3+ 2-1- 674 32 993 32 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Multipolarity of 32-keV transition 674-32 δ 674 =.1(3) δ 32 =.4(3) δ 2 = I L I L I(L) = 1 δ 2 + 1 I(L ) = δ2 δ 2 + 1 674 kev: 99.99% E1 +.1% M2 32 kev: 99.84% M1 +.16% E2 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Decays to: 3+, 4-, 3- Spin-parity values: state at 1524 kev 2 53-674 53-32 2 1 1.9.8 2 1.9 2 A.9 2 =.2(1), A 4 =-.2(2) A 2 =.1(1), A 4 =-.3(3) δ 53 =.6(2) 1175-32 A 2 =.4(3), A 4 =.3(6).8 δ 53 =.9(3) 4 + (4+) 1524 3-2- 1-1175 (E1) 3+ 348 53 674 32 M1(+E2) E1(+M2) M1(+E2) 993 32.8 δ 1175 =.3(5) 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Decays to: (6-), 8-, 8-, 6-, 7-, 9- State at 1981 kev 4-, 5-465 3 2 2624-179 2624 E2 1.9.8.7 A 2 =.11(3), A 4 =.4(5) Pure E2-E2 A 2 =.1, A 4 =.1 (7-) 7 1981 3 2 1.9.8.7 2624-143 A 2 =-.19(3), A 4 =.(7) δ 143 =-.11(5) 3 2 1.9.8.7 2624-1398 A 2 =-.1(3), A 4 =.2(7) δ 1398 =.5(5) 179 1398 E2 M1(+E2) 143 M1+E2 9-1- 6-8- 583 551 271 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Decays to: (6+), (5+), (4+), (4-), (6-), 6-, 4- State at 21 kev 4-, 5-465 4 3 J= 255-32 4 3 J= 255-393 255 E1(+M2) (M1+E2) 2 2 1 1.9.9.8.7 A 2 =-.14(2), A 4 =-.3(3) δ 255 =.4(8) (δ 255 =-.82(12)).8.7 A 2 =.24(3), A 4 =-.1(6) δ 393 =-.3(3) (5+) (5) 5+ 393 21 M1(+E2) (E1+M2) 177 4 3 2 J= 255-674 4 3 2 J=1 255-1596 1596 E1(+M2) (M1+E2) 3+ 993 1.9.8.7 A 2 =-.13(2), A 4 =-.2(5) δ 255 =.7(12) (δ 255 =-.88(19)) 1.9.8.7 A 2 =-.11(2), A 4 =.3(4) δ 1596 =.1(3) 4-2- 1-32 674 M1(+E2) E1(+M2) 32 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Decays to: 5+, 4+, 3-, 4-, 3+, 4-, 5-, 3-, 2- State at 27 kev 3 2 113-32 3 113-674 2 1 1.9.9.8.7 3 2 1.9.8.7 A 2 =.1(5), A 4 =-.1(11) δ 113 =-.11(9) δ 113 =-.1(4) 1659-32 A 2 =-.6(5), A 4 =-.8(1) δ 1659 =.23(14).8.7 A 2 =.1(2), A 4 =.1(4) (4+) (4) 27 1659 E1+M2 (M1+E2) 3-2- 1-32 113 M1+E2 (E1+M2) 3+ 674 M1(+E2) 993 E1(+M2) 32 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Fed from: BE Decays to: 1-, 3-, 1- State at 1197 kev 4-, 5-465 2 49(M1)-563 2 3633(E2)-563 347 1 1.9 A 2 =-.5(4), A 4 =-.2(8).9 A 2 =.1(3), A 4 =.3(6).8.8 (δ 49 = ) δ 563 =.25(3) δ 563 =.1(8) (2) 1197 634 J=1 2 1.9 634-563 Theory J=1-(M1+E2) δ 563 =.18(16) A 2 =-.7(6), A 4 =-.5(11) A 2 =-.4 A 4 =. 1-1- 563 M1+E2 563.8
Fed from: BE, (6-), (6-), (6-) Decays to: 8-, 8-, 6- State at 1527 kev 4-, 5-465 3 2 611-645 3 2 611-645 3 2 611-645 1 1 1 378.9.8 A 2 =.7(5), A 4 =.7(11).9.8 A 2 =.7(5), A 4 =.7(11).9.8 A 2 =.7(5), A 4 =.7(11) Theory J=2 (6 8) E2 J=2 (8 9) E2 A 2 =-.9 A 4 =. Theory J=2 (7 8) E2 J=2 (8 9) E2 A 2 =.1 A 4 =.14 Theory J=2 (6 8) E2 J=1 (8 9) M1 A 2 =-.7 A 4 =. (7-) 611 (M1) 1527 3 2 1.9.8 611-645 A 2 =.7(5), A 4 =.7(11) Theory J=1 (7 8) M1 J=1 (8 9) M1 A 2 =.5 A 4 =. 8-9- 1-645 (M1) 916 271
Spin distribution from 29 Bi(n,g) 21 Bi reaction (experimental results: shell-model states) 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Comparison with shell-model calculations Firmly known states used to fit TBME of p-n interaction E. K. arburton, B. A. Brown, Phys. Rev. C 43, 62 (1991) Experimental results (EXILL) Shell-model calculations
Comparison with shell-model calculations (3) 194 Firmly known states used to fit TBME of p-n interaction E. K. arburton, B. A. Brown, Phys. Rev. C 43, 62 (1991) (7-) 1527 Three states below 2 MeV without theoretical counterparts (1-,2) 1197 Experimental results (EXILL) Shell-model calculations Observed in other experiments
Comparison with shell-model calculations (2,3,4) (3,4) (4,5,6) 312 397 345 323 2979 2883 (3,4,5) 287 (4,5,6) 273 (3,4,5) 2726 3-28Pb 2.6 MeV (4,5) 2556 3 (πh 9/2 νg 9/2 ) 3- - 3+ 3-1- 2+, 3+, 4+ 3-9- 6+, 7+, 8+, (9+, 1+, 11+, 12+) (5) 4(+) 2147 27 Experimental results (EXILL) Shell-model calculations Observed in other experiments
Comparison with shell-model calculations Higher part of the level scheme: states arising from the valence particles excitations. Experimental results (EXILL) Shell-model calculations Observed in other experiments
Decay Feeder Measurements of the lifetimes of excited states in 21 Bi 32 kev LaBr 674 kev Clover LaBr Clover 3+ 674 kev 993 2-1- 32 32 kev 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Decay Feeder Measurements of the lifetimes of excited states in 21 Bi 32 kev LaBr 674 kev Clover 32 kev LaBr Clover LaBr Clover 3+ 2-993 674 kev 32 LaBr gate 32 kev 1-5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Decay Feeder Measurements of the lifetimes of excited states in 21 Bi 32 kev LaBr 674 kev Clover 32 kev LaBr Clover LaBr Clover 3+ 2-993 674 kev 32 LaBr gate 32 kev 1-5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Decay Feeder Measurements of the lifetimes of excited states in 21 Bi 1 2 C C compton C PRD ΔC = 22 ps ΔC compton = 16.8 ps PRD (E feeder E decay ) = -83.4 ps π =.8 3+ 993 τ = 2(9) ps τ lit = 7.5(14) ps Phys Rev. C 12, 1547(1975) 2-1- 674 kev 32 32 kev 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215
Measurements of the lifetimes of excited states in 21 Bi 2, 32 kev τ = 2(9) ps 3+, 993 kev τ < 4 ps 5(+) 3+ 576 kev 21 4+ 1524 53 kev 993 4+, 1524 kev τ = 31(16) ps S. Lodetti, MS Thesis, Milano (215) 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215 2-1- 674 kev 32 32 kev
Summary The level structure of 21 Bi investigated in cold neutron capture on 29 Bi was compared to shell model calculations some of the states must come from the core excitations. The analysis of angular correlations allowed to confirm almost pure M1 character of the main transition leading to the ground state. The results of present analysis of 21 Bi structure will serve as an excellent testing ground for the future calculataions. 5th orkshop on Nuclear Level Density and Gamma Strength, Oslo, May 18-22, 215