Variation of hadron masses in nuclear matter in the relativistic Hartree approximation

Abstract

We study the modification of hadron masses due to the vacuum polarization using the chiral sigma model, which is extended to generate the $\omega$ meson mass by the sigma condensation in the vacuum in the same way as the nucleon mass. The results obtained in the chiral sigma model are compared with those obtained in the Walecka model which includes $\sigma$ and $\omega$ mesons in a non-chiral fashion. It is shown that both the nucleon mass and the $\omega$ meson mass decrease in nuclear medium, while the $\sigma$ meson mass increases at finite density in the chiral sigma model.

arXiv comment10 pages, 2 figures, accepted for publication in Nucl.Phys.A

References in corpus (15)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Experimental evidence for a light and broad scalar resonance in $D^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decay
• The Stability of Nuclear Matter in the Nambu-Jona-Lasinio Model
• Variation of hadron masses in finite nuclei
• Enhanced Production of Low-Mass Electron Pairs in 40 AGeV Pb-Au Collisions at the CERN SPS
• A Precursor of Chiral Symmetry Restoration in the Nuclear Medium
• Variations of Hadron Masses and Matter Properties in Dense Nuclear Matter
• Medium Modification to the $\Omega$-Meson Mass in the Walecka Model
• Vector Mesons in Nuclear Medium -- an Effective Lagrangian Approach --
• In-medium modifications of the $\pi \pi$ interaction in photon-induced reactions
• Sigma and omega meson propagation in a dense nuclear medium
• The $\pi \pi$ interaction in nuclear matter from a study of the ${\pi }^{+}A\to {\pi }^{+}{\pi }^{\pm }{A}^{\prime }$ reactions
• Chiral Sigma Model with Pion Mean Field in Finite Nuclei
• Theoretical approaches to hadrons in nuclear matter
• General properties of the pion production reaction in nuclear matter

Cited by in corpus (1)

• Valence-quark distributions of pions and kaons in a nuclear medium