High energy (E≤1000GeV) intranuclear cascade model for nucleons and pions incident on nuclei and comparisons with experimental data

Abstract

An intranuclear cascade model for reactions of pions and nucleons with complex nuclei that should cover the energy range from about 50 MeV to about 1000 GeV has been developed. The model includes the effect of a diffuse nuclear surface, the Fermi motion of the bound nucleons within the nucleus, the exclusion principle, a local potential for nucleons, a localized reduction in the density of the nucleus during the development of the cascade, and the sequencing of the events correctly with time. Theoretical results from the model are compared with experimental data over the energy range \ensuremath{\sim} 3-1000 GeV. Within the cascade model, the equations that are used to represent the pion multiplicity from the reactions of nucleons and pions with the individual nucleons of the nucleus underestimates the number of shower particles produced by these individual nucleon interactions. In spite of this the predicted number of shower particles escaping from the nucleus, for 100-GeV nuclear interactions, is overestimated by about 25% for light nuclei to about 60% for heavy nuclei. The agreement for the number of escapes from the nucleus is somewhat better at lower interaction energies (\ensuremath{\sim} 10-20 GeV). Some of the major trends in the observed high energy data are predicted quite well. These include the energy independence of (a) the number of black tracks produced at interaction energies above 5 GeV, (b) the number of shower particles produced above 100 GeV, and (c) the radionuclides produced above 10 GeV. Other trends that are predicted fairly well are the small mass dependence of the shower particle multiplicity (factor of 2 increase predicted from carbon to lead; factor of 1.5 measured), and the change in the angular dependence of the multiplicity with mass. In absolute comparisons, the predicted total reaction cross sections are in good agreement with experimental data, and the cross sections for the production of radionuclides are in fair agreement.NUCLEAR REACTIONS Theoretical, intranuclear cascade method, ${\ensuremath{\sigma}}_{t}(A)$ for $p$ and $\ensuremath{\pi}$, ${〈n〉}_{\mathrm{shower}}$ and ${〈n〉}_{\mathrm{black}}$ vs ${E}_{\ensuremath{\pi}}$, $\ensuremath{\sigma}({\ensuremath{\theta}}_{\ensuremath{\pi}})\ensuremath{\Delta}{\ensuremath{\theta}}_{\ensuremath{\pi}}$ vs $A$, $\ensuremath{\sigma}({E}_{\ensuremath{\pi}},{E}_{p}:\ensuremath{\theta})$ for $p$ on Al, radiochemical $\ensuremath{\sigma}'\mathrm{s}$ for 11-and 300-GeV $p$ on $^{59}\mathrm{Co}$. All compared with experiment.