A study of semiclassical approximations for heavy-ion transfer reactions

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Abstract
Semiclassical concepts have been used to obtain a formula for determining angular distributions for heavy-ion transfer reactions starting from the expression of the transition matrix in DWBA. The distorted waves are expanded in partial waves and the radial wavefunctions approximated by the WKB approximation. Further approximations enable one of the partial-wave summations to be performed analytically. The transfer matrix elements occurring in the resulting formula has been simplified to a one-dimensional integral by assuming a straight-line orbit for the relative motion. As an illustration, angular distributions have been calculated for the reactions 26Mg(11B,10B)27Mg and 26Mg(11B,10Be)27Al at 114 MeV laboratory energy and compared with experiment. The agreement is good.