Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1993-12-29
Phys.Rev.C50:1137-1153,1994
Physics
Nuclear Physics
Nuclear Theory
32 pages in REVTeX, IU/NTC 93-28, FSU-SCRI-93-161. The postscript file, including 12 figures, is available via anonymous ftp f
Scientific paper
10.1103/PhysRevC.50.1137
The quark exchange model is a simple realization of an adiabatic approximation to the strong-coupling limit of Quantum Chromodynamics (QCD): the quarks always coalesce into the lowest energy set of flux tubes. Nuclear matter is thus modeled in terms of its quarks. We wish to study the correlations imposed by total wavefunction antisymmetry when color degrees of freedom are included. To begin with, we have considered one-dimensional matter with a $SU(2)$ color internal degree of freedom only. We proceed by constructing a totally antisymmetric, color singlet {\it Ansatz} characterized by a variational parameter $\lambda$ (which describes the length scale over which two quarks in the system are clustered into hadrons) and by performing a variational Monte Carlo calculation of the 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.
Gardner Susan
Horowitz Charles J.
Piekarewicz Jorge
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