Charge-changing cross sections for ${}^{42\text{–}51}$Ca and effect of charged-particle evaporation induced by neutron removal reaction

Abstract

Charge-changing cross sections ${\sigma }_{\mathrm{CC}}$ for ${}^{42\text{–}51}$Ca on a carbon target at around 280~MeV/nucleon have been measured. The measured ${\sigma }_{\mathrm{CC}}$ values differ significantly from the previously developed calculations based on the Glauber model. However, through introduction of the charged-particle evaporation effect induced by the neutron-removal reaction in addition to the Glauber-model calculation, experimental ${\sigma }_{\mathrm{CC}}$ values on ${}^{12}$C at around 300~MeV/nucleon for nuclides from C to Fe isotopes are all reproduced with approximately 1\% accuracy. This proposed model systematically reproduces ${\sigma }_{\mathrm{CC}}$ data without phenomenological corrections, and can also explain experimental ${\sigma }_{\mathrm{CC}}$ values obtained in other energy regions.

Comments: 13 pages, 11 figures