Algebraic rotating-frame approach to nuclear reactions

Abstract

An approach to nuclear reactions is discussed in which the rotating-frame approximation is combined with an algebraic model of the nuclear collective states, the interacting-boson model. The coupled multi-channel problem reduces to that of single-channel potential scattering with a fluctuating potential, whose strength is characterized by a finite set of values. Several versions of the rotating-frame approximation are compared with an exact coupled-channel calculation for the inelastic scattering of an α-particle from 154Sm. It is shown that an appropriate choice of the version used, together with a proper normalization of the coupling strength, leads to a significant improvement upon the conventional form of this approximation when Coulomb excitation is included.