Beyond the Shell Model: The Canonical Nuclear Many-Body Problem as an Effective Theory
Abstract
We describe a strategy for attacking the canonical nuclear structure problem ---bound-state properties of a system of point nucleons interacting via a two-body potential---which involves an expansion in the number of particles scattering at high momenta, but is otherwise exact. The required self-consistent solutions of the Bloch-Horowitz equation for effective interactions and operators are obtained by an efficient Green's function method based on the Lanczos algorithm. We carry out this program for the simplest nuclei, d and He, to contrast a rigorous effective theory with the shell model, thereby illustrating several of the uncontrolled approximations in the latter.
Keywords
Cite
@article{arxiv.nucl-th/9907097,
title = {Beyond the Shell Model: The Canonical Nuclear Many-Body Problem as an Effective Theory},
author = {W. C. Haxton and C. -L. Song},
journal= {arXiv preprint arXiv:nucl-th/9907097},
year = {2009}
}
Comments
Revtex; two columns; four pages; two figures; submitted to Phys. Rev. Lett