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The spectral function of the rho meson in nuclear matter

1997/08/20 by W. Peters, M. Post, H. Lenske +2 · 167 citations
Physics and Astronomy · #Coupling (piping) #Excitation #High-Energy Particle Collisions Research #Meson #Nuclear matter #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #Spectral function #Spectral line #Transverse plane #nucl-th

paper · pdf · doi:10.1016/s0375-9474(98)00803-3

published in Nuclear Physics A 632(1), 109-127 (Elsevier BV) · 27 pages, LaTex, 15 figures using epsfig.sty, submitted to Nuclear Physics A. Typos corrected in eq. (28) and table 1

arxiv created 1997/08/20 · openalex publication_date 1998/03/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We calculate the modification of a rho meson in nuclear matter through its coupling to resonance-hole states. Starting from a recently proposed model, we include all four star resonances up to 1.9 GeV. In contrast to previous works, we include not only resonances that couple to the rho in a relative p-wave, but also those that couple to an s-wave state. In addition, we solve the equation for the rho spectral function self-consistently. We find that s-wave resonances affect the in medium spectral function of the rho strongly. In the transverse channel the rho meson is, especially at non zero momentum, completely washed out and can in the presence of nuclear matter no longer be viewed as a resonant excitation of the vacuum. Instead, our model shows a continuum of possible excitations with the quantum numbers of a transversely polarized rho. In the longitudinal channel, however, the rho retains its resonant character in our calculation. As a consequence of the self-consistent treatment we also find a strong enhancement of the widths of the included nucleon resonances in medium.

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