dorsal/arxiv
View SchemaPion-pair formation and the pion dispersion relation in a hot pion gas
| Authors | T. Alm, G. Chanfray, P. Schuck, G. Welke |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9609036 |
| URL | https://arxiv.org/abs/nucl-th/9609036 |
| DOI | 10.1016/S0375-9474(96)00409-5 |
| Journal | Nucl.Phys. A612 (1997) 472-492 |
Abstract
The possibility of pion--pair formation in a hot pion gas, based on the bosonic gap equation, is pointed out and discussed in detail. The critical temperature for condensation of pion pairs (Evans--Rashid transition) is determined as a function of the pion density. As for fermions, this phase transition is signaled by the appearance of a pole in the two--particle propagator. In bose systems there exists a second, lower critical temperature, associated with the appearance of the single--particle condensate. Between the two critical temperatures the pion dispersion relation changes from the usual quasiparticle dispersion to a Bogoliubov--like dispersion relation at low momenta. This generalizes the non-relativistic result for an attractive bose gas by Evans et al. Possible consequences for the inclusive pion spectra measured in heavy--ion collisions at ultra--relativistic energies are discussed.
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"abstract": "The possibility of pion--pair formation in a hot pion gas, based on the\nbosonic gap equation, is pointed out and discussed in detail. The critical\ntemperature for condensation of pion pairs (Evans--Rashid transition) is\ndetermined as a function of the pion density. As for fermions, this phase\ntransition is signaled by the appearance of a pole in the two--particle\npropagator. In bose systems there exists a second, lower critical temperature,\nassociated with the appearance of the single--particle condensate. Between the\ntwo critical temperatures the pion dispersion relation changes from the usual\nquasiparticle dispersion to a Bogoliubov--like dispersion relation at low\nmomenta. This generalizes the non-relativistic result for an attractive bose\ngas by Evans et al. Possible consequences for the inclusive pion spectra\nmeasured in heavy--ion collisions at ultra--relativistic energies are\ndiscussed.",
"arxiv_id": "nucl-th/9609036",
"authors": [
"T. Alm",
"G. Chanfray",
"P. Schuck",
"G. Welke"
],
"categories": [
"nucl-th",
"atom-ph",
"hep-ph"
],
"doi": "10.1016/S0375-9474(96)00409-5",
"journal_ref": "Nucl.Phys. A612 (1997) 472-492",
"title": "Pion-pair formation and the pion dispersion relation in a hot pion gas",
"url": "https://arxiv.org/abs/nucl-th/9609036"
},
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