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A practical scheme for constructing the minimum-weight states of the su(n)-Lipkin model in arbitrary fermion number

Authors: Tsue, Yasuhiko; Providencia, Constanca; da Providencia, Joao

Ref.: Prog. Theor. Exp. Phys. 12 (2017)

Abstract: With the aim of performing an argument supplementary to the previous paper by the present authors [Y. Tsue, C. Providencia, J. da Providencia, and M. Yamamura, Prog. Theor. Exp. Phys. 2017, 081D01 (2017)], 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 of 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 points (i) and (ii) is simple.

DOI: 10.1093/ptep/ptx158