Solving Three-Cluster OCM Equations in the Faddeev Formalism

Details Solving Three-Cluster OCM Equations in the Faddeev Formalism Solving Three-Cluster OCM Equations in the Faddeev Formalism

2003-10-08

arxiv.org/abs/nucl-th/0310028v2

Few Body Syst. 34 (2004) 237-257

Physics

Nuclear Physics

Nuclear Theory

22 pages, no figures

Scientific paper

10.1007/s00601-004-0021-y

Two different types of orthogonality condition models (OCM) are equivalently formulated in the Faddeev formalism. One is the OCM which uses pairwise orthogonality conditions for the relative motion of clusters, and the other is the one which uses the orthogonalizing pseudo-potential method. By constructing a redundancy-free T-matrix, one can exactly eliminate the redundant components of the total wave function for the harmonic-oscillator Pauli-forbidden states, without introducing any limiting procedure. As an example, a three-alpha-particle model interacting via the deep alpha alpha potential by Buck, Friedrich and Wheatley is investigated.

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