The spectral function of the rho meson in nuclear matter |
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| Institution: | 1. NHFPC Key Laboratory for Medical Virology, National Institute for Viral Disease Control and Prevention, China CDC, Beijing, China;2. Center for Disease Control and Prevention of Guangdong Province, Guangzhou, China;1. Fundação Oswaldo Cruz, Salvador, Bahia, Brazil;2. University of Rome “Tor Vergata”, Italy;3. Department of Zoology, University of Oxford, UK;4. Instituto Evandro Chagas, Pará, Brazil;5. Division of Computational Biology, Faculty of Health Sciences, University of Cape Town, Cape Town, South Africa;6. Hospital Santa Isabel, Salvador, Bahia, Brazil;7. National Institute of Healthy, Rome, Italy;8. Africa Center, University of KwaZulu-Natal, Durban, South Africa |
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| 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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