S. Gardner et al., DYNAMICAL COLOR CORRELATIONS IN A SU(2)C QUARK EXCHANGE MODEL OF NUCLEAR-MATTER, Physical review. C. Nuclear physics, 50(2), 1994, pp. 1137-1153
The quark exchange model is a simple realization of an adiabatic appro
ximation to the strong-coupling limit of quantum chromodynamics: the q
uarks always coalesce into the lowest energy set of flux tubes. Nuclea
r matter is thus modeled in terms of its quarks. We wish to study the
correlations imposed by total wave-function antisymmetry when color de
grees of freedom are included. To begin with, we have considered one-d
imensional matter with a SU(2) color internal degree of freedom only.
We proceed by constructing a totally antisymmetric, color singlet Ansa
tz characterized by a variational parameter lambda (which describes th
e length scale over which two quarks in the system are clustered into
hadrons) and by performing a variational Monte Carlo calculation of th
e energy to optimize lambda for a fixed density. We calculate the q-q
correlation function as well, and discuss the qualitative differences
between the system at low and high density.