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Title: Properties of {rho} and {omega} mesons at finite temperature and density as inferred from experiment

Abstract

The mass shift, width broadening, and spectral density for {rho} and {omega} mesons in a heat bath of nucleons and pions are calculated using a general formula which relates the self-energy to the real and imaginary parts of the forward scattering amplitude. We use experimental data to saturate the scattering amplitude at low energies with resonances and include a background Pomeron term, while at high energies a Regge parametrization is used. The real part obtained directly is compared with the result of a dispersion integral over the imaginary part. The peaks of the spectral densities are little shifted from their vacuum positions, but the widths are considerably increased due to collisional broadening. Where possible we compare with the UrQMD model and find quite good agreement. At normal nuclear matter density and a temperature of 150 MeV the spectral density of the {rho} meson has a width of 345 MeV, while that for the {omega} is in the range 90--150 MeV.

Authors:
; ; ;
Publication Date:
Research Org.:
Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Org.:
(US)
OSTI Identifier:
40277096
DOE Contract Number:  
FG02-87ER40328
Resource Type:
Journal Article
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 64; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.64.035202; Othernumber: PRVCAN000064000003035202000001; 008109PRC; PBD: Sep 2001; Journal ID: ISSN 0556-2813
Publisher:
The American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; MESONS; NUCLEAR MATTER; NUCLEONS; PIONS; POMERANCHUK PARTICLES; SCATTERING AMPLITUDES; SELF-ENERGY; SPECTRAL DENSITY

Citation Formats

Eletsky, V L, Belkacem, M, Ellis, P J, and Kapusta, J I. Properties of {rho} and {omega} mesons at finite temperature and density as inferred from experiment. United States: N. p., 2001. Web. doi:10.1103/PhysRevC.64.035202.
Eletsky, V L, Belkacem, M, Ellis, P J, & Kapusta, J I. Properties of {rho} and {omega} mesons at finite temperature and density as inferred from experiment. United States. https://doi.org/10.1103/PhysRevC.64.035202
Eletsky, V L, Belkacem, M, Ellis, P J, and Kapusta, J I. 2001. "Properties of {rho} and {omega} mesons at finite temperature and density as inferred from experiment". United States. https://doi.org/10.1103/PhysRevC.64.035202.
@article{osti_40277096,
title = {Properties of {rho} and {omega} mesons at finite temperature and density as inferred from experiment},
author = {Eletsky, V L and Belkacem, M and Ellis, P J and Kapusta, J I},
abstractNote = {The mass shift, width broadening, and spectral density for {rho} and {omega} mesons in a heat bath of nucleons and pions are calculated using a general formula which relates the self-energy to the real and imaginary parts of the forward scattering amplitude. We use experimental data to saturate the scattering amplitude at low energies with resonances and include a background Pomeron term, while at high energies a Regge parametrization is used. The real part obtained directly is compared with the result of a dispersion integral over the imaginary part. The peaks of the spectral densities are little shifted from their vacuum positions, but the widths are considerably increased due to collisional broadening. Where possible we compare with the UrQMD model and find quite good agreement. At normal nuclear matter density and a temperature of 150 MeV the spectral density of the {rho} meson has a width of 345 MeV, while that for the {omega} is in the range 90--150 MeV.},
doi = {10.1103/PhysRevC.64.035202},
url = {https://www.osti.gov/biblio/40277096}, journal = {Physical Review C},
issn = {0556-2813},
number = 3,
volume = 64,
place = {United States},
year = {Sat Sep 01 00:00:00 EDT 2001},
month = {Sat Sep 01 00:00:00 EDT 2001}
}