A solvable model for octupole phonons

被引：5
作者：
Van Isacker, P. [1 ]
机构：
[1] CEA DRF CNRS IN2P3, Grand Accelerateur Natl dIons Lourds, Bvd Henri Becquerel,BP 55027, F-14076 Caen, France
来源：
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2020年 / 229卷 / 14-15期
关键词：
STATES;
D O I：
10.1140/epjst/e2020-000026-x
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A solvable model is proposed for the description of octupole phonons in closed-shell nuclei, formulated in terms of shell-model particle-hole excitations. With some simple assumptions concerning single-particle energies and two-body interactions, closed expressions are derived for the energy and wave function of the octupole phonon. In particular, it is shown that the components of the octupole phonon are proportional to Wigner 3jcoefficients. This analytic wave function is proven to be exactly valid in light nuclei, which haveLSshell closures that coincide with those of the three-dimensional harmonic oscillator, and to be valid to a good approximation in heavier nuclei, which havejjshell closures due to the spin-orbit interaction. The properties of the solvable model are compared with the results of a realistic shell-model calculation for(208)Pb.
引用
收藏
页码：2443 / 2458
页数：16
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