Isotopic Production Cross Sections in Proton-12C Interactions for Energies from 10 MeV/N to 100 GeV/N
Abstract
Proton interactions with 12C nuclei are a frequent nuclear interaction leading to secondary radiation in tissues for space radiation and cancer therapy with protons or 12C beams. The fragmentation of 12C by protons produces a large number of heavy ion (A>4) target or projectile fragments often with high ionization density. Here we develop an analytical model of energy dependent proton-12C cross sections for isotopic nuclei production. Using experimental data and a 2nd order optical model an accurate formula for the p-12C absorption cross section from <10 MeV/n to >10 GeV/N is obtained. The energy dependence of the elemental and isotopic cross sections is modeled as multiplicities scaled to absorption cross section with average isotopic fractions estimated from experimental data. We show that this approach results in an accurate analytic formula model over the full energy range in Hadron therapy and space radiation protection studies.
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