DYNAMICAL COLOR CORRELATIONS IN A SU(2)C QUARK EXCHANGE MODEL OF NUCLEAR-MATTER

Citation
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
Citations number
32
Categorie Soggetti
Physics, Nuclear
ISSN journal
05562813
Volume
50
Issue
2
Year of publication
1994
Pages
1137 - 1153
Database
ISI
SICI code
0556-2813(1994)50:2<1137:DCCIAS>2.0.ZU;2-E
Abstract
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.