The microscopic model of the distorted-wave Born approximation theory for (p,α) reactions formulated in the isospin representation is compared with a semimicroscopic analysis using cluster form factors and SU(3) spectroscopic amplitudes. The differential cross sections of α particles emitted in the reaction ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$(p,α${)}^{24}$Mg have been measured at the bombarding energies 20, 24, 30.5, and 45 MeV. The microscopic as well as the semimicroscopic distorted-wave Born approximation analysis reproduces the angular distributions in a large range of incident energies when using energy-dependent optical potentials. The relative intensities of the transitions to the ground state and excited states up to $E_x$=6 MeV are described quite well in the semimicroscopic analysis.

• Received 6 August 1984

DOI:https://doi.org/10.1103/PhysRevC.31.17