Abstract
The microscopic model of the distorted-wave Born approximation theory for (p,\ensuremath{\alpha}) 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 \ensuremath{\alpha} particles emitted in the reaction $^{27}\mathrm{Al}$(p,\ensuremath{\alpha}${)}^{24}$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.
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