Mk. Banerjee et Ja. Tjon, NUCLEAR-MATTER STUDIES WITH DENSITY-DEPENDENT MESON-NUCLEON COUPLING-CONSTANTS, Physical review. C. Nuclear physics, 56(1), 1997, pp. 497-509
Due to the internal structure of the nucleon, we should expect, in gen
eral, that the effective meson nucleon parameters may change in nuclea
r medium. We study such changes by using a chiral confining model of t
he nucleon. We use density-dependent masses for all mesons except the
pion. Within a Dirac-Brueckner analysis, based on the relativistic cov
ariant structure of the NN amplitude, we show that the effect of such
a density dependence in the NN interaction on the saturation propertie
s of nuclear matter, while not large, is quite significant. Due to the
density dependence of the g(sigma NN), as predicted by the chiral con
fining model, we find, in particular, a looping behavior of the bindin
g energy at saturation as a function of the saturation density. A simp
le model is described, which exhibits looping and which is shown to be
mainly caused by the presence of a peak in the density dependence of
the medium modified sigma N coupling constant at low density. The effe
ct of density dependence of the coupling constants and the meson masse
s tends to improve-the results for EIA and density of nuclear matter a
t saturation. From the present study we see that the relationship betw
een binding energy and saturation density may not be as universal as f
ound in nonrelativistic studies and that more model dependence is exhi
bited once medium modifications of the basic nuclear interactions are
considered.