Article

# The $\rho$ Spectral Function in a Relativistic Resonance Model

08/2000; DOI:doi:10.1016/S0375-9474(00)00613-8
Source: arXiv

ABSTRACT We calculate the spectral function $A_\rho$ of the $\rho$ meson in nuclear matter. The calculation is performed in the {\it low density} approximation, where the in-medium self energy $\Sigma_{med}$ is completely determined by the vacuum $\rho N$ forward scattering amplitude. This amplitude is derived from a relativistic resonance model. In comparison to previous non-relativistic calculations we find a much weaker momentum dependence of $\Sigma_{med}$, especially in the transverse channel. Special attention is paid to uncertainties in the model. Thus, we compare the impact of different coupling schemes for the $RN\rho$ interaction on the results and discuss various resonance parameter sets. Comment: 47 pages, 19 figures, some discussion and formulae added, minor typos removed, accepted for publication in Nuclear Physics A

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### Keywords

19 figures

in-medium self energy $\Sigma_{med}$

minor typos

nuclear matter

Nuclear Physics

transverse channel

uncertainties

vacuum $\rho N$

various resonance parameter sets

weaker momentum dependence

{\it low density} approximation