Two-loop corrections for nuclear matter in the Walecka model

Journal Article · Sat Jul 01 04:00:00 EDT 1989 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.40.321· OSTI ID:6058353

Furnstahl, R J; Perry, R J; Serot, B D

Two-loop corrections for nuclear matter, including vacuum polarization, arecalculated in the Walecka model to study the loop expansion as an approximationscheme for quantum hadrodynamics. Criteria for useful approximation schemes arediscussed, and the concepts of strong and weak convergence are introduced. Thetwo-loop corrections are evaluated first with one-loop parameters and meanfields and then by minimizing the total energy density with respect to thescalar field and refitting parameters to empirical nuclear matter saturationproperties. The size and nature of the corrections indicate that the loopexpansion is not convergent at two-loop order in either the strong or weaksense. Prospects for alternative approximation schemes are discussed.

• Research Organization: Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742(US); Department of Physics, The Ohio State University, Columbus, Ohio 43210; Physics Department and Nuclear Theory Center, Indiana University, Bloomington, Indiana 47405
• OSTI ID: 6058353
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 40:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653002* -- Nuclear Theory-- Nuclear Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DIFFERENTIAL EQUATIONS
ENERGY DENSITY
EQUATIONS
MATHEMATICAL MODELS
MATTER
MEAN-FIELD THEORY
NUCLEAR MATTER
NUCLEAR MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PROPAGATOR
RENORMALIZATION
SCHROEDINGER EQUATION
VACUUM POLARIZATION
WALECKA MODEL
WAVE EQUATIONS