arXiv:1007.1302·v1·Nuclear Theory
Two-Level Lipkin Model in Unconventional Boson Realization
Y.Tsue (Kochi Univ., Japan)🇯🇵 · C.Providencia (Univ.de Coimbra, Portugal)🇵🇹 · J.da Providencia (Univ. de Coimbra, Portugal)🇵🇹 · M.Yamamura (Kansai Univ., Japan)🇯🇵
Abstract
With the aim of applying to the Lipkin model in the case of open shell system, a possible form of the boson realization for the su(2)-algebra is proposed both in the Schwinger and the Holstein-Primakoff representation. The basic idea is borrowed from the Schwinger boson realization for the su(4)-algebra for many-quark system recently presented by the present authors. As the simplest approximation, a certain approximate form is given and the result is a natural generalization of the RPA result in the case of closed shell system.
Comments: 26 pages, 11 figures