Omega meson propagation in dense nuclear matter and collective excitations

Abstract

The bosonic excitations induced by the omega meson propagation in dense nuclear matter is studied within the framework of random phase approximation. The collective modes are then analyzed by finding the zeros of the relevant dielectric functions. Subsequently we present closed form analytical expressions for the dispersion relations in different kinematical regime. Next, the analytical behaviour of the in-medium effective propagator for the omega meson is examined. This is exploited to calculate the full spectral function for the transverse (T) and longitudinal (L) mode of the omega meson. In addition, various sum rules are constructed for the omega meson spectral density in nuclear medium. Results are then discussed by calculating residues at the poles and discontinuities across the cuts.

8 Pages, LaTeX

References in corpus (1)

• The Quark-Gluon Plasma: Collective Dynamics and Hard Thermal Loops

Cited by in corpus (11)

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• Study of possible ωbound states in nuclei with the (γ,p) reaction
• The width of the omega meson in the nuclear medium
• Energy weighted sum rules for mesons in hot and dense matter
• Isospin mode splitting and mixing in asymmetric nuclear matter
• Analysis of $\omega$ self-energy at finite temperature and density in the real-time formalism
• Effects of Dirac sea on pion propagation in asymmetric nuclear matter
• In-medium modification and decay asymmetry of omega mesons in cold nuclear matter
• Static properties of nuclear matter within the Boson Loop Expansion
• The dielectric function excited by $\rho NN$ tensor coupling in nuclear matter