English

Spin dependent ab initio nonlocal No-Core Shell-Model One-Body Densities

Nuclear Theory 2019-10-03 v1

Abstract

Constructing microscopic effective interactions (`optical potentials') for nucleon-nucleus (NA) elastic scattering requires in first order off-shell nucleon-nucleon (NN) scattering amplitudes between the projectile and the struck target nucleon and nonlocal one-body density matrices. While the NN amplitudes and the {\it ab intio} no-core shell-model (NCSM) calculations always contain the full spin structure of the NN problem, one-body density matrices used in traditional microscopic folding potential neglect spin contributions inherent in the one-body density matrix. Here we derive and show the expectation values of the spin-orbit contribution of the struck nucleon with respect to the rest of the nucleus for 4^{4}He, 6^{6}He, 12^{12}C, and 16^{16}O and compare them with the scalar one-body density matrix.

Keywords

Cite

@article{arxiv.1910.00683,
  title  = {Spin dependent ab initio nonlocal No-Core Shell-Model One-Body Densities},
  author = {G. Popa and M. Burrows and Ch. Elster and K. D. Launey and P. Maris and S. P. Weppner},
  journal= {arXiv preprint arXiv:1910.00683},
  year   = {2019}
}

Comments

Proceedings for IWNT38, Rila, Bulgaria, June 2019, 10 pages, 5 figures

R2 v1 2026-06-23T11:32:12.643Z