Dynamical color correlations in a SU(2)[sub [ital c]] quark exchange model of nuclear matter

Journal Article · Mon Aug 01 04:00:00 EDT 1994 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.50.1137· OSTI ID:7271282

Gardner, S; Horowitz, C J ^[1]; Piekarewicz, J ^[2]

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1. Nuclear Theory Center and Department of Physics, Indiana University, Bloomington, Indiana 47405 (United States)
2. Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306 (United States)

The quark exchange model is a simple realization of an adiabatic approximation to the strong-coupling limit of quantum chromodynamics: 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 wave-function 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 [ital 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 [ital q]-[ital q] correlation function as well, and discuss the qualitative differences between the system at low and high density.

• DOE Contract Number: AC05-84ER40150; FG02-87ER40365; FG05-92ER40750; FG05-85ER25000
• OSTI ID: 7271282
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 50:2; ISSN PRVCAN; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

662240 -- Models for Strong Interactions-- (1992-)
663110* -- General & Average Properties of Nuclei & Nuclear Energy Levels-- (1992-)
663300 -- Nuclear Reactions & Scattering
General-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COLOR
CORRELATION FUNCTIONS
FIELD THEORIES
FUNCTIONS
INTERACTIONS
LIE GROUPS
MATTER
NUCLEAR MATTER
ONE-DIMENSIONAL CALCULATIONS
OPTICAL PROPERTIES
ORGANOLEPTIC PROPERTIES
PARTICLE INTERACTIONS
PHYSICAL PROPERTIES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK-QUARK INTERACTIONS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
WAVE FUNCTIONS