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\ifmmode^\circ\else\textdegree\fi{} to 170\ifmmode^\circ\else\textdegree\fi{} 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 ${Y}_{2,\ensuremath{-}2}$, 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 ${Y}_{4,\ensuremath{-}2}$ in the model improved the agreement with these two states considerably; but the ${3}^{+}$ (5.24 MeV) experimental data are still not accurately reproduced.NUCLEAR REACTIONS $^{24}\mathrm{Mg}(p, {p}^{\ensuremath{'}})^{24}\mathrm{Mg}$, $T=20.0, 25.0, 30.4, 34.9, 39.9, 44.9$ MeV; measured $\ensuremath{\sigma}(\ensuremath{\theta})$, $\ensuremath{\theta}=10\ifmmode^\circ\else\textdegree\fi{}\ensuremath{-}170\ifmmode^\circ\else\textdegree\fi{}$ lab; ${E}_{x}=0.00, 1.37, 4.12+4.24, 5.24, 6.01, \mathrm{and} 6.43$ MeV; enriched target; optical model and coupled channels analyses.