{rho}-meson self-energy and dielectron emissivity in an isospin-asymmetric pion medium
- Bogoliubov Theoretical Laboratory, Joint Institute for Nuclear Research, 141980 Dubna (Russia)
- Research Center Rossendorf, Institute for Nuclear and Hadron Physics, PF 510119, 01314 Dresden (Germany)
The {rho}-meson self-energy in an isospin-asymmetric pion gas at finite temperature and charged-pion chemical potential is evaluated. We utilize a conventional effective {pi}-{rho} Lagrangian and the functional integral representation of the partition function in the second order in the {rho}{pi}{pi} coupling constant. We analyze the {rho}-meson polarization operator and its dependence on the invariant mass {ital M} and spatial momentum {parallel}{ital p}{parallel} of the {rho} meson. The pole positions and the values of the imaginary parts of the self-energy for different polarization states have different functional dependences on {ital M} and {parallel}{ital p}{parallel}. The corresponding dielectron rate (calculated from the imaginary part of the in-medium {rho}-meson propagator) shows a distinctive asymmetry when the momentum {ital t}={ital p}{sub +}{minus}{ital p}{sub {minus}} is perpendicular or parallel to {ital p}, where {ital p}{sub {plus_minus}} are the {ital e}{sup {plus_minus}} momenta of the electron pair. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 279842
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 7 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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