Generalized Nambu--Jona-Lasinio model in a study of the boson-exchange model of nuclear forces
- Department of Physics and Center for Nuclear Theory, Brooklyn College of the City University of New York, Brooklyn, New York 11210 (United States)
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.
- OSTI ID:
- 132957
- Journal Information:
- Physical Review, C, Vol. 52, Issue 6; Other Information: PBD: Dec 1995
- Country of Publication:
- United States
- Language:
- English
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