Three-cluster dynamics within an ab initio framework
Abstract
We introduce a fully antisymmetrized treatment of three-cluster dynamics within the ab initio framework of the no-core shell model/resonating-group method (NCSM/RGM). Energy-independent non-local interactions among the three nuclear fragments are obtained from realistic nucleon-nucleon interactions and consistent ab initio many-body wave functions of the clusters. The three-cluster Schr\"odinger equation is solved with bound-state boundary conditions by means of the hyperspherical-harmonic method on a Lagrange mesh. We discuss the formalism in detail and give algebraic expressions for systems of two single nucleons plus a nucleus. Using a soft similarity-renormalization-group evolved chiral nucleon-nucleon potential, we apply the method to an He+ description of He and compare the results to experiment and to a six-body diagonalization of the Hamiltonian performed within the harmonic-oscillator expansions of the NCSM. Differences between the two calculations provide a measure of core (He) polarization effects.
Cite
@article{arxiv.1307.8160,
title = {Three-cluster dynamics within an ab initio framework},
author = {S. Quaglioni and C. Romero-Redondo and P. Navrátil},
journal= {arXiv preprint arXiv:1307.8160},
year = {2013}
}
Comments
16 pages, 9 figures