Algebraic Model for scattering in three-s-cluster systems. I. Theoretical Background

摘要

A framework to calculate two-particle matrix elements for fullyantisymmetrized three-cluster configurations is presented. The theory isdeveloped for a scattering situation described in terms of the Algebraic Model.This means that the nuclear many-particle state and its asymptotic behaviourare expanded in terms of oscillator states of the intra-cluster coordinates.The Generating Function technique is used to optimize the calculation of matrixelements. In order to derive the dynamical equations, a multichannel version ofthe Algebraic Model is presented.