%0 Journal Article
%A Burrows, M.
%A Elster, Ch.
%A Popa, G.
%A Launey, K. D.
%A Nogga, A.
%A Maris, P.
%T Ab initio translationally invariant nonlocal one-body densities from no-core shell-model theory
%J Physical review / C
%V 97
%N 2
%@ 2469-9985
%C Woodbury, NY
%I Inst.
%M FZJ-2018-07640
%P 024325
%D 2018
%X Background: It is well known that effective nuclear interactions are in general nonlocal. Thus if nuclear densities obtained from ab initio no-core shell-model (NCSM) calculations are to be used in reaction calculations, translationally invariant nonlocal densities must be available.Purpose: Though it is standard to extract translationally invariant one-body local densities from NCSM calculations to calculate local nuclear observables like radii and transition amplitudes, the corresponding nonlocal one-body densities have not been considered so far. A major reason for this is that the procedure for removing the center-of-mass component from NCSM wave functions up to now has only been developed for local densities.Results: A formulation for removing center-of-mass contributions from nonlocal one-body densities obtained from NCSM and symmetry-adapted NCSM (SA-NCSM) calculations is derived, and applied to the ground state densities of 4He, 6Li, 12C, and 16O. The nonlocality is studied as a function of angular momentum components in momentum as well as coordinate space.Conclusions: We find that the nonlocality for the ground state densities of the nuclei under consideration increases as a function of the angular momentum. The relative magnitude of those contributions decreases with increasing angular momentum. In general, the nonlocal structure of the one-body density matrices we studied is given by the shell structure of the nucleus, and cannot be described with simple functional forms.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000425604200002
%R 10.1103/PhysRevC.97.024325
%U https://juser.fz-juelich.de/record/858800