Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1996-09-13
Nucl.Phys. A612 (1997) 472-492
Physics
Nuclear Physics
Nuclear Theory
16 pages revtex, 7 Postscript figures
Scientific paper
10.1016/S0375-9474(96)00409-5
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.
Alm T.
Chanfray Guy
Schuck Peter
Welke G.
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