Relativistic transport theory for hadronic matter

Journal Article · Thu Aug 01 04:00:00 EDT 1991 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1016/0003-4916(91)90031-3· OSTI ID:5219593

Wang, Shun-Jin ^[1]; Li, Bao-An; Bauer, W ^[2]; Randrup, J ^[3]

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1. National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan (USA) Nuclear Science Division, Lawrence Berkeley Laboratory, University of California, Berkeley, California (USA) Center of Theoretical Physics, CCAST (World Laboratory), Beijing, and Department of Modern Physics, Lanzhou University, Lanzhou 730001 (People's Republic of China)
2. National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan (USA)
3. Nuclear Science Division, Lawrence Berkeley Laboratory, University of California, Berkeley, California (USA)

We derive coupled equations of motion for the density matrices for nucleons, {Delta} resonances, and {pi} mesons, as well as for the pion--baryon interaction vertex function for the description of nuclear reactions at intermediate energies. We start from an effective hadronic Lagrangian density with minimal coupling between baryons and mesons. By truncating at the level of three-body correlations and using the {ital G}-matrix method to solve the equations of motion for the two-body correlation functions, a closed equation of motion for the one-body density matrices is obtained. A subsequent Wigner transformation then leads to a tractable set of relativistic transport equations for interacting nucleons, deltas, and pions. {copyright} 1991 Academic Press, Inc.

• DOE Contract Number: AC03-76SF00098
• OSTI ID: 5219593
• Journal Information: Annals of Physics (New York); (United States), Journal Name: Annals of Physics (New York); (United States) Vol. 209:2; ISSN APNYA; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
BARYON-BARYON INTERACTIONS
BARYONS
BOSONS
CORRELATION FUNCTIONS
DENSITY MATRIX
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELEMENTARY PARTICLES
EQUATIONS
EQUATIONS OF MOTION
FERMIONS
FIELD THEORIES
FUNCTIONS
G MATRIX
GENERAL RELATIVITY THEORY
GREEN FUNCTION
HADRON-HADRON INTERACTIONS
HADRONS
HILBERT SPACE
INTERACTIONS
LAGRANGIAN FUNCTION
MATHEMATICAL SPACE
MATRICES
MEAN-FIELD THEORY
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MESONS
NUCLEAR REACTIONS
NUCLEONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PION-NUCLEON INTERACTIONS
RELATIVITY THEORY
SPACE
TRANSPORT THEORY
VERTEX FUNCTIONS
WAVE EQUATIONS