Solution to the eigenstates of pairing Hamiltonian in finite nuclei  

作　　者：余意 郭建友 

机构地区：[1]School of Physics and Material Science, Anhui University

出　　处：《Chinese Physics C》2009年第S1期134-136,共3页中国物理C（英文版）

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.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 

分 类 号：O571[理学—粒子物理与原子核物理]