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基于壳模型对力加四极力研究sdpf壳偶偶原子核

Shell Model Study of Even-even sd and pf Shell Nuclei With the Pairing Plus Quadrupole-quadrupole Interaction

  • 摘要: 本文在原子核壳模型框架下基于唯象相互作用(对力加四极力)研究sd壳和pf壳的偶偶核低激发集体态。在提取了USDB和GXPF1相互作用的单粒子能量和单极相互作用的基础上,我们用一套统一参数计算重现了球形核和形变核的低激发谱;将对相互作用中的单极成分扣除后可以得到较好的结合能计算结果。同位旋标量的对相互作用对计算结果影响不大。单极相互作用在经验质子—中子相互作用、原子核对称能和Wigner能中产生重要贡献。

     

    Abstract: In this paper we study low-lying states of even-even nuclei in the sd and pf shells in the framework of the shell model with the phenomenological pairing plus quadrupole-quadrupole (P+Q) interaction. By adopting the single-particle energy and the monopole interaction from the USDB and GXPF1 interactions, the low-lying spectra of spherical nuclei and deformed nuclei are successfully reproduced by a unified set of parameters. We obtain a reasonably good result for binding energies by removing the monopole component from the pairing interactions. The isoscalar pairing interaction does not play an important role in the states. The monopole interaction provides contributions to the empirical proton-neutron interaction, the symmetry energy, and the Wigner energy.

     

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