Medium Modification to the $Ω$-Meson Mass in the Walecka Model

Details Medium Modification to the $Ω$-Meson Mass in the Walecka Model Medium Modification to the $Ω$-Meson Mass in the Walecka Model

1993-11-05

arxiv.org/abs/nucl-th/9311005v1

Phys.Rev.C49:1981-1988,1994

Physics

Nuclear Physics

Nuclear Theory

14 pages in ReVTeX, 3 uuencoded figures are available upon request, FSU-SCRI-93-132 and ADP-93-223/T140

Scientific paper

10.1103/PhysRevC.49.1981

We calculate the effective mass of the $\omega$ meson in nuclear matter in a relativistic random-phase approximation to the Walecka model. The dressing of the meson propagator is driven by its coupling to particle-hole pairs and nucleon-antinucleon ($N\bar{N}$) excitations. We report a reduction in the $\omega$-meson mass of about 170~MeV at nuclear-matter saturation density. This reduction arises from a competition between the density-dependent (particle-hole) dressing of the propagator and vacuum polarization ($N\bar{N}$ pairs). While density-dependent effects lead to an increase in the mass proportional to the classical plasma frequency, vacuum polarization leads to an even larger reduction caused by the reduced effective nucleon mass in the medium.

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