Cm. Shakin et al., MESON-MODE MIXING IN THE CALCULATION OF THE NUCLEON-NUCLEON INTERACTION, Physical review. C. Nuclear physics, 52(6), 1995, pp. 3502-3504
We consider pion exchange between nucleons in the one-boson-exchange m
odel and in a model based upon the use of the quark-quark T matrices o
f the Nambu-Jona-Lasinio (NJL) model. We study the relation between th
e 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 p
hysical quantities. For example, we saw that, while the vertex form fa
ctor of the boson-exchange model depends upon a parameter Lambda(pi)=1
.3 GeV in the case of pion exchange, the corresponding physical parame
ter characterizing the meson-nucleon vertex is Lambda(pi)similar or eq
ual to 0.8 GeV. In this paper we study how the mixing of the pion and
the axial-vector (T=1) mode affects the value of lambda(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(pi)
=0.9 GeV is used.