Four-nucleon shell-model calculations in a Faddeev-like approach
Abstract
We use equations for Faddeev amplitudes to solve the shell-model problem for four nucleons in the model space that includes up to 14 hbar Omega harmonic-oscillator excitations above the unperturbed ground state. Two- and three-body effective interactions derived from the Reid93 and Argonne V8' nucleon-nucleon potentials are used in the calculations. Binding energies, excitations energies, point-nucleon radii and electromagnetic and strangeness charge form factors for 4He are studied. The structure of the Faddeev-like equations is discussed and a formula for matrix elements of the permutation operators in a harmonic-oscillator basis is given. The dependence on harmonic-oscillator excitations allowed in the model space and on the harmonic-oscillator frequency is investigated. It is demonstrated that the use of the three-body effective interactions improves the convergence of the results.
Keywords
Cite
@article{arxiv.nucl-th/9812062,
title = {Four-nucleon shell-model calculations in a Faddeev-like approach},
author = {P. Navratil and B. R. Barrett},
journal= {arXiv preprint arXiv:nucl-th/9812062},
year = {2009}
}
Comments
22 pages, 13 figures, REVTex