A particle-number-conserving solution to the generalized pairing problem

被引：85

作者：

Pan, F ^{[1
]}

Draayer, JP ^{[1
]}

Ormand, WE ^{[1
]}

机构：

[1] Louisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USA

来源：

PHYSICS LETTERS B | 1998年 / 422卷 / 1-4期

基金：

美国国家科学基金会;

关键词：

generalized pairing; infinite dimensional algebra; exact solution;

D O I：

10.1016/S0370-2693(98)00034-3

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

An exact, number-conserving solution to the generalized, orbit-dependent pairing problem is derived by introducing an infinite-dimensional algebra. A method for obtaining eigenvalues and eigenvectors of the corresponding Hamiltonian is also given. The relevance of the orbit-dependent pairing solution is demonstrated by comparing predictions of the model with shell-model calculations. (C) 1998 Elsevier Science B.V.

引用

页码：1 / 5

页数：5

共 22 条

[1]

BARDEEN J, 1957, PHYS REV, V108, P175

[2] 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

[3]

Belyaev ST., 1959, Mat. Phys. Medd. Dan. Vid. Selsk, V31, P11

[4] POSSIBLE ANALOGY BETWEEN THE EXCITATION SPECTRA OF NUCLEI AND THOSE OF THE SUPERCONDUCTING METALLIC STATE [J].

BOHR, A ;

MOTTELSON, BR ;

PINES, D .

PHYSICAL REVIEW, 1958, 110 (04) :936-938

[5] INVESTIGATION OF PARTICLE PAIRING IN LIQUIDS [J].

COOPER, DW ;

BATCHELDER, JS ;

TAUBENBLATT, MA .

JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1991, 144 (01) :201-209

[6] LIPKIN-NOGAMI METHOD AT FINITE TEMPERATURE IN THE STATIC-PATH APPROXIMATION [J].

DANG, ND ;

RING, P ;

ROSSIGNOLI, R .

PHYSICAL REVIEW C, 1993, 47 (02) :606-611

[7] PAIRING FORCES AND NUCLEAR COLLECTIVE MOTION [J].

KERMAN, AK .

ANNALS OF PHYSICS, 1961, 12 (02) :300-329

[8] ACCURACY OF SUPERCONDUCTIVITY APPROXIMATION FOR PAIRING FORCES IN NUCLEI [J].

KERMAN, AK ;

LAWSON, RD ;

MACFARLANE, MH .

PHYSICAL REVIEW, 1961, 124 (01) :162-&

[9]

LIPKIN HJ, 1960, ANN PHYS, V31, P528

[10] A NOTE ON PAIRING INTERACTION IN NUCLEI [J].

NOGAMI, Y ;

ZUCKER, IJ .

NUCLEAR PHYSICS, 1964, 60 (02) :203-&

← 1 2 3 →