Meson-mode mixing in the calculation of the nucleon-nucleon interaction
- Department of Physics and Center for Nuclear Theory, Brooklyn College of the City University of New York, Brooklyn, New York 11210 (United States)
We consider pion exchange between nucleons in the one-boson-exchange model and in a model based upon the use of the quark-quark {ital T} matrices of the Nambu--Jona-Lasinio (NJL) model. We study the relation between the meson-nucleon form factors of the boson-exchange model and the form factors that appear in our application of the NJL model. Previously we indicated that the form factors of the boson-exchange model are not physical quantities. For example, we saw that, while the vertex form factor of the boson-exchange model depends upon a parameter {Lambda}{sub {pi}}=1.3 GeV in the case of pion exchange, the corresponding {ital physical} parameter characterizing the meson-nucleon vertex is {Lambda}{sub {pi}}{congruent}0.8 GeV. In this paper we study how the mixing of the pion and the axial-vector ({ital T}=1) mode affects the value of {lambda}{sub {pi}} needed in our model. We find that the two models of pion exchange in the nucleon-nucleon interaction can be put into excellent agreement if {lambda}{sub {pi}}=0.9 GeV is used.
- OSTI ID:
- 132974
- Journal Information:
- Physical Review, C, Journal Name: Physical Review, C Journal Issue: 6 Vol. 52; ISSN PRVCAN; ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
Similar Records
Bosonization in the presence of confinement: Calculation of the nucleon-nucleon interaction
Calculation of the nucleon-nucleon interaction due to vector-meson exchange