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Title: Brueckner correlations following a boson mapping of the two-color delta model

Abstract

We study the application of boson mapping methods to a two-color delta model of interacting quarks, with the purpose of extracting information of relevance to quark-model descriptions of nuclei. In an earlier treatment, the boson Hamiltonian resulting from the mapping was approximately diagonalized at the level of Hartree-Bose approximation. The results differed from those of an exact solution of the model at first order in the density. Furthermore, the results were worse than those arising from a BCS treatment of pair correlations at the quark level. Here we extend the analysis to a Brueckner treatment, so as to properly take into account the short-range repulsion between bosons originating from the quark Pauli principle. The resulting energy per quark reproduces the exact results through first order in the density and is significantly better than the BCS results. At higher densities, deviations appear, reflecting the need for a full cluster expansion in the treatment of short-range correlation effects. The relevance of these results to more realistic three-color quark models of nuclei is discussed. {copyright} {ital 1996 The American Physical Society.}

Authors:
; ;  [1]
  1. Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia-1784 (Bulgaria)
Publication Date:
OSTI Identifier:
284793
Resource Type:
Journal Article
Journal Name:
Physical Review, C
Additional Journal Information:
Journal Volume: 53; Journal Issue: 6; Other Information: PBD: Jun 1996
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; BOSONS; MAPPING; QUARK MODEL; CORRELATIONS; COLOR MODEL; DENSITY; QUARKS; EXPANSION

Citation Formats

Stoitsov, M V, Pittel, S, Dukelsky, J, Bartol Research Institute, University of Delaware, Newark, Delaware 19716, and Instituto de Estructura de la Materia, Consejo Superior de Investigaciones Cientificas, Serrano 123, 28006 Madrid. Brueckner correlations following a boson mapping of the two-color delta model. United States: N. p., 1996. Web. doi:10.1103/PhysRevC.53.3088.
Stoitsov, M V, Pittel, S, Dukelsky, J, Bartol Research Institute, University of Delaware, Newark, Delaware 19716, & Instituto de Estructura de la Materia, Consejo Superior de Investigaciones Cientificas, Serrano 123, 28006 Madrid. Brueckner correlations following a boson mapping of the two-color delta model. United States. doi:10.1103/PhysRevC.53.3088.
Stoitsov, M V, Pittel, S, Dukelsky, J, Bartol Research Institute, University of Delaware, Newark, Delaware 19716, and Instituto de Estructura de la Materia, Consejo Superior de Investigaciones Cientificas, Serrano 123, 28006 Madrid. Sat . "Brueckner correlations following a boson mapping of the two-color delta model". United States. doi:10.1103/PhysRevC.53.3088.
@article{osti_284793,
title = {Brueckner correlations following a boson mapping of the two-color delta model},
author = {Stoitsov, M V and Pittel, S and Dukelsky, J and Bartol Research Institute, University of Delaware, Newark, Delaware 19716 and Instituto de Estructura de la Materia, Consejo Superior de Investigaciones Cientificas, Serrano 123, 28006 Madrid},
abstractNote = {We study the application of boson mapping methods to a two-color delta model of interacting quarks, with the purpose of extracting information of relevance to quark-model descriptions of nuclei. In an earlier treatment, the boson Hamiltonian resulting from the mapping was approximately diagonalized at the level of Hartree-Bose approximation. The results differed from those of an exact solution of the model at first order in the density. Furthermore, the results were worse than those arising from a BCS treatment of pair correlations at the quark level. Here we extend the analysis to a Brueckner treatment, so as to properly take into account the short-range repulsion between bosons originating from the quark Pauli principle. The resulting energy per quark reproduces the exact results through first order in the density and is significantly better than the BCS results. At higher densities, deviations appear, reflecting the need for a full cluster expansion in the treatment of short-range correlation effects. The relevance of these results to more realistic three-color quark models of nuclei is discussed. {copyright} {ital 1996 The American Physical Society.}},
doi = {10.1103/PhysRevC.53.3088},
journal = {Physical Review, C},
number = 6,
volume = 53,
place = {United States},
year = {1996},
month = {6}
}