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

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 ${}^4$He, ${}^6$He, ${}^{12}$C, and ${}^{16}$O and compare them with the scalar one-body density matrix.

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

References in corpus (6)

• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Ab initio Folding Potentials for Nucleon-Nucleus Scattering based on NCSM One-Body Densities
• Microscopic optical potentials derived from ab initio translationally invariant nonlocal one-body densities
• Importance-Truncated Large-Scale Shell Model
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• Open Shell Effects in a Microscopic Optical Potential for Elastic Scattering of ${}^{6(8)}$He

Cited by in corpus (1)

• Ab initio Leading Order Effective Potentials for Elastic Nucleon-Nucleus Scattering