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Title: Bosonization in the presence of confinement: Calculation of the nucleon-nucleon interaction

Abstract

We describe an extended version of the Nambu{endash}Jona-Lasinio (NJL) model that includes a description of confinement. It is necessary to incorporate some description of confinement in order to discuss the properties of the sigma, rho, and omega mesons in the NJL model. These mesons, in addition to the pion, are the minimum needed to describe the salient features of the nucleon-nucleon interaction. In previous work we considered the relation between the bosonized NJL model and the one-boson-exchange (OBE) model of the nucleon-nucleon force. Most of our attention was given to pion and sigma exchange. We provide a review of that work and extend our discussion to a consideration of rho and omega exchange. We also present a more detailed discussion of the bosonization procedure. Our results depend upon the strength of the confining interaction. Once that is fixed, we obtain good values for the omega-nucleon coupling constant, {ital G}{sub {omega}{ital NN}}, and for the tensor coupling constant {ital f}{sub {rho}}, in the rho-nucleon interaction. (One limitation of the present version of the model is that the ratio {ital f}{sub {rho}}/{ital g}{sub {rho}}=3.70, instead of the empirical value of {ital f}{sub {rho}}/{ital g}{sub {rho}}{approx_equal}6.1.) If we consider nucleon-nucleon scattering for relativelymore » small momentum transfer, we obtain good results for the processes of sigma, pion, rho, and omega exchange. Remarkably, the description of pion exchange is very accurate up to {ital q}{sup 2}{approximately}{minus}2 GeV{sup 2}. That is, the microscopic model reproduces the pion-exchange amplitude of the boson-exchange model over a broad range of momentum transfer when we specify a single parameter than governs the momentum-transfer dependence of the pseudoscalar-isovector form factor of the nucleon. In the other channels ({sigma},{rho},{omega}), the nucleon form factors may be treated in the same manner. (Abstract Truncated)« less

Authors:
; ; ; ;  [1]
  1. Department of Physics and Center for Nuclear Theory, Brooklyn College of the City University of New York, Brooklyn, New York 11210 (United States)
Publication Date:
OSTI Identifier:
282156
Resource Type:
Journal Article
Journal Name:
Physical Review, C
Additional Journal Information:
Journal Volume: 53; Journal Issue: 4; Other Information: PBD: Apr 1996
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; UNIFIED GAUGE MODELS; CONFINEMENT; NUCLEON-NUCLEON INTERACTIONS; BOSON-EXCHANGE MODELS; SIGMA PARTICLES; RHO-770 MESONS; OMEGA PARTICLES; COUPLING; NUCLEONS; FORM FACTORS; MOMENTUM TRANSFER; AMPLITUDES

Citation Formats

Gao, S, Celenza, L S, Shakin, C M, Sun, W, and Szweda, J. Bosonization in the presence of confinement: Calculation of the nucleon-nucleon interaction. United States: N. p., 1996. Web. doi:10.1103/PhysRevC.53.1936.
Gao, S, Celenza, L S, Shakin, C M, Sun, W, & Szweda, J. Bosonization in the presence of confinement: Calculation of the nucleon-nucleon interaction. United States. doi:10.1103/PhysRevC.53.1936.
Gao, S, Celenza, L S, Shakin, C M, Sun, W, and Szweda, J. Mon . "Bosonization in the presence of confinement: Calculation of the nucleon-nucleon interaction". United States. doi:10.1103/PhysRevC.53.1936.
@article{osti_282156,
title = {Bosonization in the presence of confinement: Calculation of the nucleon-nucleon interaction},
author = {Gao, S and Celenza, L S and Shakin, C M and Sun, W and Szweda, J},
abstractNote = {We describe an extended version of the Nambu{endash}Jona-Lasinio (NJL) model that includes a description of confinement. It is necessary to incorporate some description of confinement in order to discuss the properties of the sigma, rho, and omega mesons in the NJL model. These mesons, in addition to the pion, are the minimum needed to describe the salient features of the nucleon-nucleon interaction. In previous work we considered the relation between the bosonized NJL model and the one-boson-exchange (OBE) model of the nucleon-nucleon force. Most of our attention was given to pion and sigma exchange. We provide a review of that work and extend our discussion to a consideration of rho and omega exchange. We also present a more detailed discussion of the bosonization procedure. Our results depend upon the strength of the confining interaction. Once that is fixed, we obtain good values for the omega-nucleon coupling constant, {ital G}{sub {omega}{ital NN}}, and for the tensor coupling constant {ital f}{sub {rho}}, in the rho-nucleon interaction. (One limitation of the present version of the model is that the ratio {ital f}{sub {rho}}/{ital g}{sub {rho}}=3.70, instead of the empirical value of {ital f}{sub {rho}}/{ital g}{sub {rho}}{approx_equal}6.1.) If we consider nucleon-nucleon scattering for relatively small momentum transfer, we obtain good results for the processes of sigma, pion, rho, and omega exchange. Remarkably, the description of pion exchange is very accurate up to {ital q}{sup 2}{approximately}{minus}2 GeV{sup 2}. That is, the microscopic model reproduces the pion-exchange amplitude of the boson-exchange model over a broad range of momentum transfer when we specify a single parameter than governs the momentum-transfer dependence of the pseudoscalar-isovector form factor of the nucleon. In the other channels ({sigma},{rho},{omega}), the nucleon form factors may be treated in the same manner. (Abstract Truncated)},
doi = {10.1103/PhysRevC.53.1936},
journal = {Physical Review, C},
number = 4,
volume = 53,
place = {United States},
year = {1996},
month = {4}
}