Elastic and inelastic scattering of protons fromMg24with coupled channels analysis for the energy range 17-185 MeV

Abstract

Elastic and inelastic differential cross sections of protons scattered from ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ were measured for incident proton energies of 20.0, 25.0, 30.4, 34.9, 39.9, and 44.9 MeV. Angular distributions from 10° to 170° in the laboratory were obtained for seven states of ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$, namely: $0^{+}$ (0.00 MeV), $2^{+}$ (1.37 MeV), the sum of $4^{+}$ (4.12 MeV) and $2^{+}$ (4.24 MeV), $3^{+}$ (5.24 MeV), $4^{+}$ (6.01 MeV), and $0^{+}$ (6.43 MeV). These data, along with data from the literature in the energy range 17-185 MeV, were analyzed using optical model and coupled channels calculations. Using a rotational model, with triaxial deformation limited to terms in $Y_{2,2}$ and $Y_{2,-2}$, reasonable agreement with the data was obtained for all states except for the $3^{+}$ (5.24 MeV) and $4^{+}$ (6.01 MeV) states. The inclusion of terms of $Y_{4,2}$ and $Y_{4,-2}$ in the model improved the agreement with these two states considerably; but the $3^{+}$ (5.24 MeV) experimental data are still not accurately reproduced.