Solution to the eigenstates of pairing Hamiltonian in finite nuclei

摘要：

We apply the algebraic Bethe technique to the nuclear pairing problem with certain limits. We obtain the exact energies and eigenstates, and find the symmetry between the states corresponding to less and more than half full shell. We also proved that the problem of solving BAE can be transformed into the problem of finding the roots of a hypergeometric polynomial, which is much simpler.

关键词： shell model, pairing, BAE, hypergeometric polynomial, Hamiltonian

作者: YU Yi GUO Jian-You

作者单位: School of Physics and Material Science, Anhui University, Hefei 230039, Chin

会议类型: 国际会议

会议名称: 第十二届全国核结构研讨会暨第八次全国核结构专题讨论会(12th National Conference on Nuclear Structure and the 8th Symposium on Nuclear Structure)

会议地点: 重庆

会议语种:英文

页码: 134-136

在线出版日期: 2008-05-10（万方平台首次上网日期，不代表论文的发表时间）