AbstractThe differential excitation functions of the low lying levels for the reactions Mg24(d, p) Mg25and Mg26(d, p.) Mg27have been measured in steps of 10 KeV in a deuteron energy range 1.3‐2.5 MeV and at angles 20°–160y in steps of 20°. Thin isotopic targets (0.45 μ gm/cm2) on Ni backing (0.5 micron) were used. Auto‐correlations, angular and group crosscorrelations, and probability distributions were calculated in terms of ERIOSON's theory of statistical fluctuations. The mean coherence width Γ for both reactions was found to be equal to 32 KeV which corresponds to a life time τ = 2.1 × 10−20sec. of the compound nucl