Spin-dependent nonlocal translational invariant one-body densities from No-Core Shell Model

Translationally invariant nonlocal densities are needed in reaction calculations. Though it is standard to extract translationally invariant local one-body densities from the no-core shell model (NCSM) to calculate local nuclear observables like radii and transition amplitudes, the corresponding nonlocal one-body densities have raised several challenges. We developed the formalism to calculate these densities in position and momentum space using NCSM matrix elements. The removal of the center-of-mass contribution from nonlocal one-body densities obtained from NCSM calculations was derived and applied to the ground state densities of $^{\mathrm{4}}$He, $^{\mathrm{6}}$Li, $^{\mathrm{12}}$C, and $^{\mathrm{16}}$O. Recent results of spin-dependent non-local translational invariant one-body densities from NCSM based on the NN2LO$_{\mathrm{opt\thinspace }}$interaction will be presented for $^{\mathrm{6}}$He.