Effective temperature of resonance decay in the statistical bootstrap model

The energy spectrum of pions emitted in the decay of a heavy resonance with mass m is calculated in the statistical bootstrap model, and compared with the Boltzmann form p/sup 2/exp(-E/kT/sub eff/) to determine an effective temperature. The calculated T/sub eff/ is near Hagedorn's limiting temperature T/sub 0/, but lies (15/25)% higher at low E and varies somewhat with energy as E approaches its kinematic limit m/2. These deviations from T/sub 0/ result from working with phase space rather than the canonical ensemble, and from following through the full decay chain of the heavy resonance. Consequences for shape of the transverse-momentum spectrum in inclusive reactions and for the deduction of T/sub 0/ from that spectrum are discussed. (12 refs).