Exact solutions for the mean field plus state-dependent pairing Hamiltonian

Citation
F. Pan et al., Exact solutions for the mean field plus state-dependent pairing Hamiltonian, J PHYS A, 33(8), 2000, pp. 1597-1602
Citations number
28
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
8
Year of publication
2000
Pages
1597 - 1602
Database
ISI
SICI code
0305-4470(20000303)33:8<1597:ESFTMF>2.0.ZU;2-8
Abstract
The nuclear mean field plus stare-dependent pairing problem is studied by u sing the Bethe ansatz method. It is shown that the Hamiltonian can be expan ded in terms of generators of the infinite-dimensional Lie algebra <(SU(2)) over cap> without central extension. Exact solutions for excited energies a nd the corresponding eigenstates of the nuclear pairing problem are derived through the Bethe ansatz equations.