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Title: Recent Progress in Quantum Hadrodynamics

Abstract

Quantum hadrodynamics (QHD) is a framework for describing the nuclear many-body problem as a relativistic system of baryons and mesons. Motivation is given for the utility of such an approach and for the importance of basing it on a local, Lorentz-invariant lagrangian density. Calculations of nuclear matter and finite nuclei in both renormalizable and nonrenormalizable, effective QHD models are discussed. Connections are made between the effective and renormalizable models, as well as between relativistic mean-field theory and more sophisticated treatments. Recent work in QHD involving nuclear structure, electroweak interactions in nuclei, relativistic transport theory, nuclear matter under extreme conditions, and the evaluation of loop diagrams is reviewed.

Authors:
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (US)
Sponsoring Org.:
USDOE Office of Energy Research (ER) (US)
OSTI Identifier:
790262
Report Number(s):
JLAB-THY-97-48; DOE/ER/40150-1981; nucl-th/9701058; IU-NTC-96-17
TRN: US0200413
DOE Contract Number:
FG02-87ER40365; AC05-84ER40150
Resource Type:
Journal Article
Resource Relation:
Journal Name: Int.J.Mod.Phys.E6:515-631,1997; Other Information: Journal preprint submitted to Int.J.Mod.Phys.E6:515-631,1997; PBD: 1 Jan 1997
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; HADRONS; QUANTUM MECHANICS; BARYONS; LAGRANGIAN FUNCTION; MANY-BODY PROBLEM; MEAN-FIELD THEORY; MESONS; NUCLEAR STRUCTURE; TRANSPORT THEORY; WEAK INTERACTIONS

Citation Formats

John Dirk Walecka, Brian D. Serot. Recent Progress in Quantum Hadrodynamics. United States: N. p., 1997. Web.
John Dirk Walecka, Brian D. Serot. Recent Progress in Quantum Hadrodynamics. United States.
John Dirk Walecka, Brian D. Serot. Wed . "Recent Progress in Quantum Hadrodynamics". United States. doi:. https://www.osti.gov/servlets/purl/790262.
@article{osti_790262,
title = {Recent Progress in Quantum Hadrodynamics},
author = {John Dirk Walecka, Brian D. Serot},
abstractNote = {Quantum hadrodynamics (QHD) is a framework for describing the nuclear many-body problem as a relativistic system of baryons and mesons. Motivation is given for the utility of such an approach and for the importance of basing it on a local, Lorentz-invariant lagrangian density. Calculations of nuclear matter and finite nuclei in both renormalizable and nonrenormalizable, effective QHD models are discussed. Connections are made between the effective and renormalizable models, as well as between relativistic mean-field theory and more sophisticated treatments. Recent work in QHD involving nuclear structure, electroweak interactions in nuclei, relativistic transport theory, nuclear matter under extreme conditions, and the evaluation of loop diagrams is reviewed.},
doi = {},
journal = {Int.J.Mod.Phys.E6:515-631,1997},
number = ,
volume = ,
place = {United States},
year = {Wed Jan 01 00:00:00 EST 1997},
month = {Wed Jan 01 00:00:00 EST 1997}
}
  • Using the real-time Green's-function method with a pair-cutoff approximation up to second order, the thermodynamical fluctuation effects of meson fields on the QHD-II model are studied. We find that the fluctuation effects of meson fields, in particular, the [pi] meson field, on saturation energy, effective mass of nucleon, and pressure are remarkable in the low-density region and/or high-temperature region. The results given by the QHD-I and QHD-II models are compared. The value of the critical point of the liquid-gas phase transition for the QHD-II model is given.
  • Mean-field theory of quantum hadrodynamics is used to study the Coulomb instability of asymmetric nuclear matter at finite temperature. The critical temperature for the liquid-gas phase transition in nuclear matter and its dependence on an asymmetry parameter are calculated. The limiting temperature [ital T][sub lim], which reflects the Coulomb instability of hot nuclei is studied.
  • We derive the equation of state of the quantum hydrodynamics Lagrangian in a classical approach. The obtained equation of state is then used as input in a relativistic hydrodynamical numerical routine. Rapidity and transverse momentum distributions are calculated and compared with experimental data on heavy ion collisions obtained at the Brookhaven National Laboratory Alternating Gradient Synchrotron and the CERN Super Proton Synchrotron.
  • By means of the real-time Green's functions method with a pair cutoff approximation up to the second order, the thermal fluctuation effects of meson fields on quantum hadrodynamics are investigated. We find that the fluctuation effects of saturation energy, effective mass of nucleon, and the pressure are considerable in low baryon density regions and/or high temperature regions. The results given by pair cutoff theory and by mean field theory are compared.
  • Quantum corrections to the mean-field equation of state for nuclear matter are estimated in a lattice simulation of quantum hadrodynamics. In contrast with the standard coordinate-space methods used in lattice QCD, the calculations are carried out here in momentum space and on nonhypercubic (irregular) lattices. The quantum corrections to the known mean-field equation of state were found to be considerable.