Exact solution of the nuclear pairing problem

被引:104
作者
Volya, A [1 ]
Brown, BA
Zelevinsky, V
机构
[1] Michigan State Univ, Dept Phys & Astron, E Lansing, MI 48824 USA
[2] Michigan State Univ, Natl Superconducting Cyclotron Lab, E Lansing, MI 48824 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0370-2693(01)00431-2
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In many applications to finite Fermi-systems, the pairing problem has to be treated exactly. We suggest a numerical method of exact solution based on SU(2) quasispin algebras and demonstrate its simplicity and practicality. We show that the treatment of binding energies with the use of the exact pairing and uncorrelated monopole contribution of other residual interactions can serve as an effective alternative to the full shell-model diagonalization in spherical nuclei. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:37 / 42
页数:6
相关论文
共 41 条
[1]   TREATMENT OF PAIRING CORRELATIONS BASED ON THE EQUATIONS OF MOTION FOR ZERO-COUPLED PAIR OPERATORS [J].
ANDREOZZI, F ;
COVELLO, A ;
GARGANO, A ;
LIU, JY ;
PORRINO, A .
PHYSICAL REVIEW C, 1985, 32 (01) :293-300
[2]  
ANDREOZZI F, 1996, Z PHYS A, V345, P253
[3]   STATES WITH V = 0 AND V = 1 SENIORITY IN NI ISOTOPES [J].
AUERBACH, N .
NUCLEAR PHYSICS, 1966, 76 (02) :321-&
[4]   MODEL CALCULATIONS WITH PAIRING FORCES [J].
BANG, J ;
KRUMLINDE, J .
NUCLEAR PHYSICS A, 1970, A141 (01) :18-+
[5]   THEORY OF SUPERCONDUCTIVITY [J].
BARDEEN, J ;
COOPER, LN ;
SCHRIEFFER, JR .
PHYSICAL REVIEW, 1957, 108 (05) :1175-1204
[6]   PAIRING EFFECTS IN METAL-CLUSTERS [J].
BARRANCO, M ;
HERNANDEZ, ES ;
LOMBARD, RJ ;
SERRA, L .
ZEITSCHRIFT FUR PHYSIK D-ATOMS MOLECULES AND CLUSTERS, 1992, 22 (03) :659-666
[7]  
Belyaev S.T., 1959, Mat. Fys. Medd. Dan. Vid. Selsk, V31
[8]  
BELYAEV ST, 1963, SELECTED TOPICS NUCL, P291
[9]  
Bogoliubov N., 1958, ZH EKSP TEOR FIZ+, V34, P58
[10]  
BOGOLIUBOV NN, 1960, PHYSICA, V26, P1