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

2019/10/01 by Gabriela Popa, M. Burrows, Popa, G. +9
Physics and Astronomy · #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #Atomic and Molecular Physics

paper · pdf · doi:10.48550/arxiv.1910.00683

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

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