English

A note on the Lipkin model in arbitrary fermion number

Nuclear Theory 2017-02-14 v1

Abstract

A possible form of the Lipkin model obeying the su(6)-algebra is presented. It is a natural generalization from the idea for the su(4)-algebra recently proposed by the present authors. All the relation appearing in the present form can be expressed in terms of the spherical tensors in the su(2)-algebras. For specifying the linearly independent basis completely, twenty parameters are introduced. It is concluded that, in these parameters, the ten denote the quantum numbers coming from the eigenvalues of some hermitian operators. The five in these ten determine the minimum weight state.

Keywords

Cite

@article{arxiv.1702.03604,
  title  = {A note on the Lipkin model in arbitrary fermion number},
  author = {Y. Tsue and C. Providencia and J. da Providencia and M. Yamamura},
  journal= {arXiv preprint arXiv:1702.03604},
  year   = {2017}
}

Comments

10 pages, no figure

R2 v1 2026-06-22T18:16:15.527Z