Channel cross correlations and intermediate structure in the 27Al(d,α)25Mg and 27Al(d,p)28Al reactions

The excitation functions of the protons and alpha particles for theta lab=90 degrees and 160 degrees from the reactions 27Al(d, alpha )25Mg and 27Al(d,p)28Al were measured in the range Ed=3.5-6.2 MeV and analysed by the channel cross correlation function and autocorrelation function to determine the correlating number Nd and the average total level width ( Gamma mu ), respectively. The energy-averaged angular distributions were fitted by the formula of Feshback (1960) to obtain the value of ( Gamma mu )/D. With these quantities the theoretical intermediate width ( Gamma d up arrow ) was calculated to be 206 keV, which is in good agreement with the experimental value 200+or-37 keV. In addition, the value of nd(nd-1)/n2 was determined to be 0.30, which is quite close to the theoretical prediction (2D/ pi ( Gamma mu ))12/=0.25+or-0.4.

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