Geometric Bremsstrahlung Model for Leading Proton Spectrum and Associated Multiplicity Distributions in High Energy P-P Collisions

Abstract

Stodolsky's bremsstrahlung model for the leading particle spectrum is extended on the basis of the geometric picture for high energy hadron collisions. We apply this geometric bremsstrahlung model to the inclusive reaction PP--'7PX at 205GeV/c. The leading proton spectrum and the multiplicity distributions of the recoil system, as well as of the overall system, are shown to be in good agreement with the data. a single production mechanism continues to underlie both the diffractive and non­ diffractive regions. Furthermore, separation of the two components in the overall multiplicity distribution, which is predicted by the two-component model at very high energy, has not been confirmed up to the ISR energies. 6l In order to explain the smooth transitions, the geometric modeln seems to be more suitable than the two-component model. In the geometric model, one as­ sumes a common production mechanism both for the diffractive (i.e., peripheral) and nondiffractive (i.e., central) interactions, and the transitions are continuous if the internal average multiplicity changes smoothly from the peripheral to the central collisions. In this paper, therefore, we generalize Stodolsky's model on the basis of the geometric model as suggested by Benecke et al. 8l We show that this geometric bremsstrahlung model can explain the leading proton spectrum and the recoil multiplicity distributions. We also show that in our model, the overall multiplicity distribution, which the two-component bremsstrahlung model failed to fit,v is in good agreement with the data.