Separable character of ab initio No-Core Shell Model one-body densities
Abstract
Motivated by recent findings on the separability of optical potentials that are derived from folding off-shell densities with off-shell nucleon-nucleon amplitudes, we study the off-shell character of one-body density matrices created within the No-Core Shell Model (NCSM). Concentrating on nuclei with a 0 ground state from He through Ca, we investigate the off-shell character of their one-body density matrices in momentum space when using the momentum transfer and the average momentum as variables. A singular value decomposition of the one-body density matrices reveals that they can be characterized by only very few terms, depending on the mass number of the nucleus. These findings are independent of the nucleon-nucleon interactions employed, as well as from computational specifics as grid spacing and size of the model space.
Keywords
Cite
@article{arxiv.2508.09890,
title = {Separable character of ab initio No-Core Shell Model one-body densities},
author = {J. Foy and Ch. Elster and P. Maris and S. P. Weppner and S. K. Bogner},
journal= {arXiv preprint arXiv:2508.09890},
year = {2026}
}
Comments
14 pages, 11 figures