Covariant propagator of the Rarita-Schwinger field in the nuclear medium

Abstract

A formalism for representing the fully relativistic propagator of the Rarita-Schwinger field in the nuclear medium is developed. Using a convenient basis for expanding the propagator, or the self energy, it is shown that they can be represented by 40 energy and momentum dependent quantities which can be combined into a 2x2 and a 6x6 matrix. In this way calculations reduce to matrix multiplication. Using the presented formalism the full relativistically covariant contribution of the pion-nucleon loop to the isobar self energy and propagator in isospin-symmetric spin-saturated nuclear medium is computed. Utilizing this propagator the photoabsorption cross-section on in-medium nucleons in the isobar region is calculated and the result compared with experimental data.

12 pages, 4 figures, misprints corrected

References in corpus (3)

• Effective theory of the Delta(1232) in Compton scattering off the nucleon
• Migdal's short range correlations in a covariant model
• Propagator of the interacting Rarita-Schwinger field

Cited by in corpus (12)

• Electromagnetic excitation of the Delta(1232)-resonance
• Critical Density and Impact of $\Delta (1232)$ Resonance Formation in Neutron Stars
• The nucleon and Delta-resonance masses in relativistic chiral effective-field theory
• Baryon and meson screening masses
• Delta(1232) and Nucleon Spectral Functions in Hot Hadronic Matter
• Photoabsorption off nuclei with self consistent vertex corrections
• Covariant and self consistent vertex corrections for pions and isobars in nuclear matter
• $\Delta$ self-energy at finite temperature and density and the $\pi N$ cross-section
• Fermion resonance in quantum field theory
• Nuclear Drell-Yan effect in a covariant model
• Effects of consistent and inconsistent isobar coupling in the nuclear medium
• Baryons in the Nambu Jona-Lasinio models