Quark condensate at finite baryon density
- Department of Physics and Center for Nuclear Theory, Brooklyn College of the City University of New York, Brooklyn, New York 11210 (United States)
We discuss a recently derived, model-independent relation that expresses the value of a medium-modified quark condensate in terms of the vacuum value of the condensate and the value of the nucleon sigma term, [sigma][sub [ital N]]. Our goal is to calculate the value of the quark condensate in nuclear matter, [l angle]NM[vert bar][ital [bar q]](0)[ital q](0)[vert bar]NM[r angle], using some standard many-body techniques. Here, we comment on the mean-field calculations of Cohen, Furnstahl, and Griegel and others. We then calculate the value of the nuclear matter quark condensate using linear response theory. In a sigma-dominance model, the linear response calculation relates the modification of the vacuum condensate to the matrix element of the operator [ital [bar q]q] taken between a state of the sigma meson and the vacuum. (That matrix element may be used to define a sigma decay constant, [ital f][sub [sigma]].) We also provide some additional insight into the relation between the dynamics of the quark condensate and the scalar fields of relativistic nuclear physics.
- OSTI ID:
- 6330237
- Journal Information:
- Physical Review, C (Nuclear Physics); (United States), Vol. 48:1; ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
NUCLEAR MATTER
QUARK CONDENSATION
BARYONS
DENSITY
MANY-BODY PROBLEM
MATRIX ELEMENTS
QUARKS
RELATIVISTIC RANGE
VACUUM STATES
ELEMENTARY PARTICLES
ENERGY RANGE
FERMIONS
HADRONS
MATTER
PHYSICAL PROPERTIES
POSTULATED PARTICLES
663110* - General & Average Properties of Nuclei & Nuclear Energy Levels- (1992-)