Effective interactions for the 0p1s0d nuclear shell-model space.

Effective interactions for the 0p1s0d nuclear shell-model space.
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DOI:
10.1103/physrevc.46.923
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发表时间:
1992-09
期刊:
Physical review. C, Nuclear physics
影响因子:
--
通讯作者:
Warburton;Brown
Warburton;Brown
中科院分区:
其他
文献类型:
--
作者:
Warburton;Brown

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Shell-model interactions are constructed in the cross-shell model space connecting the 0{ital p} and 1{ital s}0{ital d} shells with due regard for the perturbative effects of the neighboring 0{ital s} and 0{ital f}1{ital p} shells. The interactions have three distinctive 0{ital p}-shell, cross-shell, and 1{ital s}0{ital d}-shell parts. The latter is taken to be the previously determined {ital W} interaction. The 0{ital p}-shell interaction is represented by two-body matrix elements and the cross-shell by either a potential or by two-body matrix elements. The interactions are determined by least-squares fits to 51 0{ital p}-shell and 165 cross-shell binding energies. It is found that the addition of monopole terms to a potential that is otherwise similar to that of the Millener-Kurath interaction results in a great improvement in the fit. In the fit to two-body matrix elements, 45 of 97 possible linear combinations of parameters are varied and the root-mean-square deviation for the 165 cross-shell energies is 330 keV. Examples of the application of the interactions are given for the prediction of neutron-rich binding energies, Gamow-Teller decays, and 0{h bar}{omega}, 1{h bar}{omega}, and 2{h bar}{omega} energy spectra.
Shell-model interactions are constructed in the cross-shell model space connecting the 0{ital p} and 1{ital s}0{ital d} shells with due regard for the perturbative effects of the neighboring 0{ital s} and 0{ital f}1{ital p} shells. The interactions have three distinctive 0{ital p}-shell, cross-shell, and 1{ital s}0{ital d}-shell parts. The latter is taken to be the previously determined {ital W} interaction. The 0{ital p}-shell interaction is represented by two-body matrix elements and the cross-shell by either a potential or by two-body matrix elements. The interactions are determined by least-squares fits to 51 0{ital p}-shell and 165 cross-shell binding energies. It is found that the addition of monopole terms to a potential that is otherwise similar to that of the Millener-Kurath interaction results in a great improvement in the fit. In the fit to two-body matrix elements, 45 of 97 possible linear combinations of parameters are varied and the root-mean-square deviation for the 165 cross-shell energies is 330 keV. Examples of the application of the interactions are given for the prediction of neutron-rich binding energies, Gamow-Teller decays, and 0{h bar}{omega}, 1{h bar}{omega}, and 2{h bar}{omega} energy spectra.