The methods for treating the Al single crystals have been improved and high quality crystals are obtained. The experiment of radiation damage in the Al crystals is carried out and the lifetime of the 28Si compound state of 13.095 MeV, excited by the 27Al(p,a)24 Mg resonant reaction at Ep = 1565keV, is measured. The lifetime, τ = 16.3±2.4 as, is deduced by comparison with the calibration curves calculated with Monte Carlo model and "analytical" methods. The corresponding energy level widtk, Γ = 40±6eV, is in good agreement with that reported in the literature.