Interpretation of the scalar fields of the relativistic Brueckner-Hartree-Fock formalism

Journal Article · Sat Aug 01 04:00:00 EDT 1992 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.46.571· OSTI ID:7035275

Celenza, L S; Pantziris, A; Shakin, C M; Sun, W ^[1]

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1. 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 matrix elements of the axial current and the Gell-Mann-Oakes-Renner relation in the presence of nuclear matter. The density dependence of hadron masses and of the pion decay constant is also considered. We define a scalar order parameter that describes the modification of the quark scalar density in the presence of nuclear matter and go on to relate that parameter to the scalar field that appears in the relativistic Brueckner-Hartree-Fock (RBHF) theory. We suggest that the field-theoretic formulation provides a value for only the Hartree term in the calculation of the nucleon self-energy and present some estimates of how exchange (Fock) terms and short-range correlations modify the value obtained for the nucleon self-energy when calculations are made in the RBHF formalism. (Because of various cancellations, it is seen that the magnitude of the scalar part of the nucleon self-energy is largely unchanged when exchange (Fock) terms and short-range correlations are taken into account.)

• OSTI ID: 7035275
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 46:2; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

662240 -- Models for Strong Interactions-- (1992-)
663120* -- Nuclear Structure Models & Methods-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGEBRAIC CURRENTS
AXIAL-VECTOR CURRENTS
BOSONS
BRUECKNER MODEL
CURRENTS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
FERMIONS
FIELD THEORIES
GLUONS
HARTREE-FOCK METHOD
MATHEMATICAL MODELS
MATRIX ELEMENTS
MATTER
NUCLEAR MATTER
NUCLEAR MODELS
NUCLEAR STRUCTURE
PARTIAL DIFFERENTIAL EQUATIONS
POSTULATED PARTICLES
QUARKS
SCALAR FIELDS
SELF-ENERGY
WAVE EQUATIONS