Two-Loop Calculations with Vertex Corrections in the Walecka Model

Abstract

Two-loop corrections with scalar and vector form factors are calculated for nuclear matter in the Walecka model. The on-shell form factors are derived from vertex corrections within the framework of the model and are highly damped at large spacelike momenta. The two-loop corrections are evaluated first by using the one-loop parameters and mean fields and then by refitting the total energy/baryon to empirical nuclear matter saturation properties. The modified two-loop corrections are significantly smaller than those computed with bare vertices. Contributions from the anomalous isoscalar form factor of the nucleon are included for the first time. The effects of the implicit density dependence of the form factors, which arise from the shift in the baryon mass, are also considered. Finally, necessary extensions of these calculations are discussed.

29 pages in REVTeX, 18 figures, preprint IU/NTC 94-02 //OSU--94-113

References in corpus (1)

• Ghost Poles in the Nucleon Propagator: Vertex Corrections and Form Factors

Cited by in corpus (13)

• Nucleon and hadron structure changes in the nuclear medium and impact on observables
• Composite nucleons in scalar and vector mean-fields
• Vacuum Nucleon Loops and Naturalness
• Naturalness in the quark-meson coupling model
• Warm dense matter and cooling of supernovae remnants
• Effect of nucleon structure variation on the longitudinal response function
• Two-loop Corrections for Nuclear Matter in a Covariant Effective Field Theory
• Loop Corrections and Naturalness in a Chiral Effective Field Theory
• Screening effects on the elastic nucleon-nucleon cross section in relativistic nuclear matter
• Role of Hyperon Negative Energy Sea in Nuclear Matter
• Renormalization of the Sigma-Omega model within the framework of U(1) gauge symmetry
• Dirac Sea Contribution in Relativistic Random Phase Approximation
• Static properties of nuclear matter within the Boson Loop Expansion