TY - JOUR
T1 - Nuclear structure with Dirac phenomenology
AU - Zamick, L.
AU - Zheng, D. C.
N1 - Funding Information: We thank H. Müther for his advice and help. We also thank P. Ellis and D.J. Millener for useful comments. This work was supported by the Department of Energy under Grant DE-FGO5-. 86ER-40299 and by NSERC, Canada under operating grant A-3198.
PY - 1994/7
Y1 - 1994/7
N2 - With non-relativistic Bonn A G matrix elements, it appears that the spin-orbit interaction in a nucleus is too small. As a consequence the wave functions in the 0p shell are too close to the LS limit. The introduction of a Dirac nucleon effective mass m* less than the free mass enhances the spin-orbit interaction and affects nuclear structure in a very significant way. For example, the B(M1) in 12C to the Jπ = 11+, T = 1 state is increased by a factor of 2.5 when m*/m is decreased from 1 to 0.67. In the above analyses, large-space shell-model calculations are essential to prevent collapse of 1+ states below the ground state. A superficial analysis suggests that the tensor interaction in the nucleus is too large despite the small percentage of the D-state admixture for Bonn A (about 4.4%). However, there are some complications in the analysis. It is emphasized that in order to see large effects of the Dirac phenomenology in nuclear structure, it is essential to calculate single-particle energies with the same interaction that is used for the particle-particle matrix elements in the open shell. This also holds for the core polarization corrections.
AB - With non-relativistic Bonn A G matrix elements, it appears that the spin-orbit interaction in a nucleus is too small. As a consequence the wave functions in the 0p shell are too close to the LS limit. The introduction of a Dirac nucleon effective mass m* less than the free mass enhances the spin-orbit interaction and affects nuclear structure in a very significant way. For example, the B(M1) in 12C to the Jπ = 11+, T = 1 state is increased by a factor of 2.5 when m*/m is decreased from 1 to 0.67. In the above analyses, large-space shell-model calculations are essential to prevent collapse of 1+ states below the ground state. A superficial analysis suggests that the tensor interaction in the nucleus is too large despite the small percentage of the D-state admixture for Bonn A (about 4.4%). However, there are some complications in the analysis. It is emphasized that in order to see large effects of the Dirac phenomenology in nuclear structure, it is essential to calculate single-particle energies with the same interaction that is used for the particle-particle matrix elements in the open shell. This also holds for the core polarization corrections.
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U2 - 10.1016/0370-1573(94)90160-0
DO - 10.1016/0370-1573(94)90160-0
M3 - Article
SN - 0370-1573
VL - 242
SP - 233
EP - 251
JO - Physics Reports
JF - Physics Reports
IS - 4-6
ER -