Microscopic formulation of interacting fermion-boson systems

Y. K. Gambhir; P. Ring; P. Schuck

doi:10.1016/0375-9474(84)90296-3

Microscopic formulation of interacting fermion-boson systems

Y. K. Gambhir^*
, P. Ring
, P. Schuck

^*Corresponding author for this work

Manipal Centre for Natural Sciences, Manipal

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

A general fully microscopic theory for interacting fermion-boson systems is presented with an explicit treatment for the single-fermion case. The broken-pair approximation (BPA) is applied to generate correlated fermion pairs. Using these and an odd fermion the boson and the ideal-fermion images are constructed by employing modified Marumori and Dyson mappings. Various problems like the renormalization effects, spurious solutions and the non-hermiticity encountered in practical calculations are discussed. Explicit expressions for calculating the parameters of the hamiltonian of the phenomenological interacting fermion-boson model are derived.

Original language	English
Pages (from-to)	35-51
Number of pages	17
Journal	Nuclear Physics, Section A
Volume	423
Issue number	1
DOIs	https://doi.org/10.1016/0375-9474(84)90296-3
Publication status	Published - 09-07-1984

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0375-9474(84)90296-3

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AU - Ring, P.

AU - Schuck, P.

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N2 - A general fully microscopic theory for interacting fermion-boson systems is presented with an explicit treatment for the single-fermion case. The broken-pair approximation (BPA) is applied to generate correlated fermion pairs. Using these and an odd fermion the boson and the ideal-fermion images are constructed by employing modified Marumori and Dyson mappings. Various problems like the renormalization effects, spurious solutions and the non-hermiticity encountered in practical calculations are discussed. Explicit expressions for calculating the parameters of the hamiltonian of the phenomenological interacting fermion-boson model are derived.

AB - A general fully microscopic theory for interacting fermion-boson systems is presented with an explicit treatment for the single-fermion case. The broken-pair approximation (BPA) is applied to generate correlated fermion pairs. Using these and an odd fermion the boson and the ideal-fermion images are constructed by employing modified Marumori and Dyson mappings. Various problems like the renormalization effects, spurious solutions and the non-hermiticity encountered in practical calculations are discussed. Explicit expressions for calculating the parameters of the hamiltonian of the phenomenological interacting fermion-boson model are derived.

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Microscopic formulation of interacting fermion-boson systems

Abstract

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