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Abstract
The bosonic excitations induced by the ω 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 ω meson is examined. This is exploited to calculate the full spectral function for the transverse ( T) and longitudinal ( L) mode of the ω meson. In addition, various sum rules are constructed for the ω meson spectral density in nuclear medium. Results are then discussed by calculating the residues at the poles and discontinuities across the cuts.
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