Algebraic Model for scattering in three-s-cluster systems. I. Theoretical Background
Nuclear Theory
2009-11-06 v1
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.
Cite
@article{arxiv.nucl-th/0005045,
title = {Algebraic Model for scattering in three-s-cluster systems. I. Theoretical Background},
author = {V. Vasilevsky and A. V. Nesterov and F. Arickx and J. Broeckhove},
journal= {arXiv preprint arXiv:nucl-th/0005045},
year = {2009}
}
Comments
20 pages, 1 postscript figure, submitted to Phys. Rev. C