Reaction and proton-removal cross sections of ${}^6$Li, ${}^7$Be, ${}^{10}$B, ${}^{9,10,11}$C, $^{12$N, ${}^{13,15}$O and ${}^{17}$Ne on Si at 15 to 53 MeV/nucleon

Abstract

Excitation functions for total reaction cross sections, $\ddot{I}{ƒ}_R$, were measured for the light, mainly proton-rich nuclei ${}^6$Li, ${}^7$Be, ${}^{10}$B, ${}^{9,10,11}$C, ${}^{12}$N, ${}^{13,15}$O, and ${}^{17}$Ne incident on a Si telescope at energies between 15 and 53 MeV/nucleon. The telescope served as target, energy degrader and detector. Proton-removal cross sections, $\ddot{I}{ƒ}_{2p}$ for ${}^{17}$Ne and $\ddot{I}{ƒ}_p$ for most of the other projectiles, were also measured. The strong absorption model reproduces the $A$-dependence of $\ddot{I}{ƒ}_R$, but not the detailed structure. Glauber multiple scattering theory and the JLM folding model provided improved descriptions of the measured $\ddot{I}{ƒ}_R$ values. $rms$ radii, extracted from the measured $\ddot{I}{ƒ}_R$ using the optical limit of Glauber theory, are in good agreement with those obtained from high energy data. One-proton removal reactions are described using an extended Glauber model, incorporating second order noneikonal corrections, realistic single particle densities, and spectroscopic factors from shell model calculations.

16 pages, 6 figures