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Title: Generalized Nambu--Jona-Lasinio model in a study of the boson-exchange model of nuclear forces

Abstract

In this paper we discuss the role of chiral symmetry in the description of the nucleon-nucleon interaction. We make use of a generalized Nambu--Jona-Lasinio model which exhibits chiral symmetry at the quark level and demonstrate how the various components of the boson-exchange model of the nucleon-nucleon interaction arise in this model. In this paper we make use of our recent analysis of correlated two-pion exchange. We have found that when correlated two-pion exchange is represented by an effective low-mass sigma meson, that meson may be seen to be the chiral partner of the pion. (That result pertains if the meson momentum {ital q} is spacelike such that {ital t}={ital q}{sup 2}{lt}0.) We give particular attention to the vertex functions appearing in the boson-exchange model. For monopole forms of the vertex functions the cutoff parameter {Lambda}{sup OBE} varies from about 1.3 GeV to 2.0 GeV. In our model the nucleon form factors are characterized by a parameter {lambda}. We show how large cutoff parameters, such as {Lambda}{sup OBE}, can arise in our analysis {ital even} {ital if} {ital the} {ital meson}-{ital nucleon} {ital vertex} {ital is} {ital soft}, {ital with} {ital a} {ital characteristic} {ital cutoff} {ital of} {ital about} 800more » {ital MeV}. We present the values of {lambda} that puts the NJL analysis in good agreement with the boson-exchange model of the nucleon-nucleon force.« 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:
132957
Resource Type:
Journal Article
Journal Name:
Physical Review, C
Additional Journal Information:
Journal Volume: 52; Journal Issue: 6; Other Information: PBD: Dec 1995
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; NUCLEON-NUCLEON INTERACTIONS; BOSON-EXCHANGE MODELS; CHIRAL SYMMETRY; MONOPOLES; QUANTUM CHROMODYNAMICS; QUARKS; SIGMA PARTICLES; VERTEX FUNCTIONS

Citation Formats

Shakin, C M, Sun, W, and Szweda, J. Generalized Nambu--Jona-Lasinio model in a study of the boson-exchange model of nuclear forces. United States: N. p., 1995. Web. doi:10.1103/PhysRevC.52.3353.
Shakin, C M, Sun, W, & Szweda, J. Generalized Nambu--Jona-Lasinio model in a study of the boson-exchange model of nuclear forces. United States. https://doi.org/10.1103/PhysRevC.52.3353
Shakin, C M, Sun, W, and Szweda, J. Fri . "Generalized Nambu--Jona-Lasinio model in a study of the boson-exchange model of nuclear forces". United States. https://doi.org/10.1103/PhysRevC.52.3353.
@article{osti_132957,
title = {Generalized Nambu--Jona-Lasinio model in a study of the boson-exchange model of nuclear forces},
author = {Shakin, C M and Sun, W and Szweda, J},
abstractNote = {In this paper we discuss the role of chiral symmetry in the description of the nucleon-nucleon interaction. We make use of a generalized Nambu--Jona-Lasinio model which exhibits chiral symmetry at the quark level and demonstrate how the various components of the boson-exchange model of the nucleon-nucleon interaction arise in this model. In this paper we make use of our recent analysis of correlated two-pion exchange. We have found that when correlated two-pion exchange is represented by an effective low-mass sigma meson, that meson may be seen to be the chiral partner of the pion. (That result pertains if the meson momentum {ital q} is spacelike such that {ital t}={ital q}{sup 2}{lt}0.) We give particular attention to the vertex functions appearing in the boson-exchange model. For monopole forms of the vertex functions the cutoff parameter {Lambda}{sup OBE} varies from about 1.3 GeV to 2.0 GeV. In our model the nucleon form factors are characterized by a parameter {lambda}. We show how large cutoff parameters, such as {Lambda}{sup OBE}, can arise in our analysis {ital even} {ital if} {ital the} {ital meson}-{ital nucleon} {ital vertex} {ital is} {ital soft}, {ital with} {ital a} {ital characteristic} {ital cutoff} {ital of} {ital about} 800 {ital MeV}. We present the values of {lambda} that puts the NJL analysis in good agreement with the boson-exchange model of the nucleon-nucleon force.},
doi = {10.1103/PhysRevC.52.3353},
url = {https://www.osti.gov/biblio/132957}, journal = {Physical Review, C},
number = 6,
volume = 52,
place = {United States},
year = {1995},
month = {12}
}