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An extended Agassi model: Algebraic structure, phase diagram, and large size limit

AuthorsGarcía-Ramos, J.E.; Dukelsky, Jorge ; Pérez-Fernández, P. ; Arias, J.M.; Arias, J.M.
Issue Date1-Apr-2019
PublisherIOP Publishing
CitationPhysica Scripta 94: 4 (2019)
AbstractThe Agassi model (Agassi 1968 Nucl. Phys. A 116 49) is a schematic two-level model that involves pairing and monopole-monopole interactions. It is, therefore, an extension of the well known Lipkin-Meshkov-Glick model (Lipkin et al 1965 Nucl. Phys. 62 188). In this paper we review the algebraic formulation of an extension of the Agassi model as well as its bosonic realization through the Schwinger representation. Moreover, a mean-field approximation for the model is presented and its phase diagram discussed. Finally, a 1/j analysis, with j proportional to the degeneracy of each level, is worked out to obtain the thermodynamic limit of the ground state energy and some order parameters from the exact Hamiltonian diagonalization for finite - j.
Description9 pags., 8 figs.
Publisher version (URL)http://dx.doi.org/10.1088/1402-4896/aafc6d
Identifiersdoi: 10.1088/1402-4896/aafc6d
issn: 1402-4896
Appears in Collections:(CFMAC-IEM) Artículos
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