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

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

2000-05-16

arxiv.org/abs/nucl-th/0005045v1

Phys.Rev. C63 (2001) 034606

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1103/PhysRevC.63.034606

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.

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