Proton total reaction cross section measurements for ${}_{}{}^{40,44,48}{}_{}{}^{}\mathrm{Ca}$ at 700 MeV

Proton total reaction cross sections for 700 MeV protons on ${}_{}{}^{40,44,48}{}_{}{}^{}\mathrm{Ca}$ have been measured by detecting inelastically scattered particles at angles greater than 10° (lab). The measurements were performed with overall uncertainties of ±6.2% and relative uncertainties of ±2.5%. These measurements yield the values of ${\sigma }_R\left({}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}\right)=614\mathrm{}$ mb, ${\sigma }_R\left({}_{}{}^{44}{}_{}{}^{}\mathrm{Ca}\right)=643\mathrm{}$ mb, and ${\sigma }_R\left({}_{}{}^{48}{}_{}{}^{}\mathrm{Ca}\right)=736\mathrm{}$ mb. Matter radii differences $\Delta \mathrm{}(44-40)=(0.05\mathrm{}\pm 0.09)$fm and $\Delta \mathrm{}(48-40)=(0.36\mathrm{}\pm 0.09)$fm were extracted based on a theoretical calculation which takes advantage of the geometrical nature of the cross section. The results are compared to other available measurements of total reaction cross sections on medium-weight nuclei at medium energies and to other determinations of the matter radii differences for the calcium isotopes.

NUCLEAR STRUCTURE ${}_{}{}^{40,44,48}{}_{}{}^{}\mathrm{Ca}$; measured proton total reaction cross sections, $E=700\mathrm{}$ MeV. Deduced matter radii differences.