arXiv:1709.06699·v1·Nuclear Theory
A practical scheme for constructing the minimum weight states of the su(n)-Lipkin model in arbitrary fermion number
Y. Tsue (1) · C. Providencia (2) · J. da Providencia (2) · M. Yamamura (3) ((1) Kochi Univ., Japan, (2) Univ. de Coimbra, Portugal, (3) Kansai Univ., Japan)
Abstract
With the aim of performing an argument supplement to the previous paper by the present authors, in this paper, a practical scheme for constructing the minimum weight states of the su(n)-Lipkin model in arbitrary fermion number is discussed. The idea comes from the following two points : (i) consideration on the property of one-fermion transfer induced by the su(n)-generators in the Lipkin model and (ii) use of the auxiliary su(2)-algebra presented by the present authors. The form obtained under the points (i) and (ii) is simple.
Comments: 11 pages, 6 figures