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

Abstract

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

20 pages, 1 postscript figure, submitted to Phys. Rev. C

References in corpus (2)

• Algebraic Model for Quantum Scattering. Reformulation, Analysis and Numerical Strategies
• Large-space cluster model calculations for the He3(He3,2p)He4 and H3(H3,2n)He4 reactions

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