General relationship between the multiplicity and the fireball mass

Abstract

A general and linear relationship is found between the fireball mass M* and the multiplicity ( n ) of mesons from pp collisions and Fp annihilations, the characteristics of M* being determined by the scaling parameter used to modify the Bose-Einstein distribution. In the scaling limit, this relationship is identical with the well known power law < n ) a: Ell2. A remark is made on its extension to asymmetric fireballs such as pion-nucleon collisions.

Poisson-type multiplicity distribution and the Giovannini-Van Hove model

“…In contradiction with the prediction b -+ 1 according to (7), this property is also expected from the average multiplicity of (5), see Eq. (9) for ii -+ 00; it indicates that the interaction of particles in the final state is saturated.…”

“…[4 j The parameters ii and k of their fits with the NB distribution (1) are listed in Table I together with a and b computed according to (7). We have analyzed their data using the Poisson-type distribution (5); the parameters are listed in Table I.…”

Space structure of a fireball and the pion radius

“…A corresponding to the above inclusive reaction. In this regard we note that contrary to the p-p case, the scaling behavior, see (5), does not hold for pp annihilations as has been observed in a previous study [16]. We therefore have to determine A directly for the above reaction with other available information.…”

“…They studied the TITI correlations using events with 5 TIS in the final states for all four energies, as well. as 7 TIS for two reactions at 16 and 23 GeV/c. As we are dealing with exclusive reactions with only charged mesons n+, involving no neutral ones n = 0, it is a-simple Table II.…”

Partition temperature and energy conservation of particle production

“…Furthermore. we have to bear in mind that T determined by (2) with m = o, i.e.. (9), is overestimated compared to the case value listed in Tables II, III in order to see the overestimation of T mentioned above. We shall also investigate the dependence of T on the nature of secondaries.…”