Study of the Cumulative Number Distribution of Charged Particles Produced in p12C-Interactions at 4.2 A GeV/c

Abstract

In this paper the behaviour of the cumulative number distribution and the maximum values of cumulative number in an event of all charged particles (protons,±-mesons) produced in p12C-interctions at 4.2 A GeV/c from experimental and simulation data has been analysed. One could see four different regions in the cumulative number distributions for protons in which the last region has cumulative number greater than one which correspond to cumulative region. Similarly one could see two and three different regions for negative and positive pions respectively but there is totally absence of the cumulative area for negative pions but there are few positive pions in the cumulative area. The simulation data obtained from Cascade code cannot describe satisfactorily the distributions of the cumulative number for protons and positive and negative pions but in case of particles with maximum values of cumulative number cascade code can describe the behaviour of cumulative number distribution well. The inverse of the slope for ε dσ/dp ~f(-x/<x>) behaviour as a function of x has a universal value<x>≅0.16.