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Chemical relaxation time of pions in hot hadronic matter

Chungsik Song
(
- LBL, Berkeley
)
,
Volker Koch
(
- LBL, Berkeley
)

Nov, 1996

34 pages

Published in:

Phys.Rev.C 55 (1997) 3026-3037

e-Print:

nucl-th/9611034 [nucl-th]

DOI:

10.1103/PhysRevC.55.3026

Report number:

LBL-38363

View in:

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Abstract:

We calculate characteristic time scales for chemical equilibration of pions in hot hadronic matter using an effective chiral Lagrangian. We find that inelastic processes involving the vector and axial vector mesons reduce the chemical equilibration time by a factor of

\sim 10

compared to the result previously calculated in chiral perturbation theory. For a temperature of

T\sim 150 MeV

we obtain a chemical relaxation time of

\tau_{ch} \simeq 10 fm/c

, which is comparable with typical time scales for a hadronic system generated in SPS-energy heavy ion collisions. The effect of baryons is also estimated and found to be negligible for SPS-energies but important for AGS-energies. We predict, that chemical freeze-out should take place at considerable higher temperatures

\Delta T \simeq 20 MeV

than thermal freeze-out and that the hadronic phase would not sustain a pion chemical potential larger than

100 MeV

.

matter: hadronic
pi: matter
thermodynamics
pi pi: elastic scattering
potential: chemical
pi: density
pi pi: inelastic scattering
meson resonance: effect
baryon: absorption
effective Lagrangian

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