Single-Particle Momentum Distribution at High Energies and Concept of Partition Temperature

Abstract

A concept of partition temperature is introduced in high-energy collisions. It is a natural mathematical consequence of the Darwin-Fowler method, and neither requires nor implies thermal equilibrium. A collision at a given incoming energy is described as an incoherent superposition of collisions with different partition temperatures. Angular distributions are then presented for Vs = 540 GeV collisions.

Power laws in elementary and heavy-ion collisions

“…Notice that in our fits we have not explicitly accounted for the fact that each event has its own multiplicity, N , but we have used only its mean value, N , as given by experiment where N = N P (N ) with P (N ) being the multiplicity distribution 6 . On the other hand, the parameter T in this case is not so much a temperature, but only a kind of "partition temperature", understood as mean energy per produced particle, i.e., T ∼ W/ N (where W = K √ s, where √ s is the total energy of collision) [44]. Therefore in this case one can just as well speak about the fluctuations of N .…”

Remarks on the charged multiplicity of hadronic Z 0 (91) decays

“…This drastic difference in the exponents of the power law (19), between e>e\ and pp, is due to the difference in their structure; unlike the proton, the electron is essentially pointlike. This property, as pointed out by Yang et al [1], is due to the difference in the behaviour of the impact parameter b of these two processes. In the case of e>e\, the angular momentum is limited to 0 or 1, so that the fluctuation of b is rather small.…”

“…The hadrons in final state of Z(91) decays from the e>e\ collisions are of great interest to test the prediction of partition temperature model formulated by Chou et al [1], namely only one single temperature for e>#e\P hhM 2 and the multiplicity distribution is of Poisson-type.…”

“…) using the Scully-Lamb distribution(1). Typical errors are about 1.7% for the experimental and &14% for the predicted values…”

Signatures of TeV scale gravity in cosmic rays

“…Furthermore a black-body spectrum for emitted particles is not synonymous to Hawking radiation. In hadronic collisions at high energies the emitted particles follow thermal spectra, without even implying thermal equilibrium [10]. The relevant calculations [8], [9], presuppose also the validity of the parton model.…”