Non-Local Translationally Invariant {\it Ab Initio} One-Body Density Matrices

ORAL

Abstract

A derivation of microscopic effective interactions (optical potentials) between nucleons and a nucleus requires in first order aside from the NN interaction a non-local {\it ab initio} one-body density matrix for the target nucleus which is translationally invariant. We obtained non-local one-body density matrices from no-core shell-model (NCSM) calculations based on the JISP16 NN interaction for $^4$He, $^6$He, and $^6$Li as well as from a symmetry-adapted NCSM for $^{12}$C using the same interaction. We present how the center-of-mass inherent in the NCSM calculation is removed exactly for non-local one-body density matrices. We further explore the nature of the non-locality and compare with commonly used approximations for this non-locality.

*Supported in part by U.S. DoE under contracts DE-FG02-93ER40756 and DESC0008485, and U.S. NSF under contract ACI-1516338. Computations have partly been performed on JURECA and JUQUEEN of the JSC, J\"ulich, GER.

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Authors

  • Matthew Burrows

    • Dept. of Physics and Astronomy and INPP, Ohio Univ., Athens, OH 45701, USA

  • Charlotte Elster

    • Dept. of Physics and Astronomy and INPP, Ohio Univ., Athens, OH 45701, USA
    • Ohio University

  • Gabriela Popa

    • Dept. of Physics and Astronomy and INPP, Ohio Univ., Athens, OH 45701, USA

  • Andreas Nogga

    • IAS-4, IKP-3, JHCP, and JARA-HPC, Forschungszentrum J\"ulich, D-52428 J\"ulich, GER

  • Kristina Launey

    • Dept.of Physics and Astronomy, Louisiana State Univ., Baton Rouge, LA 70803, USA

  • Pieter Maris

    • Iowa State University
    • Dept. of Physics and Astronomy, Iowa State Univ., Ames, Iowa 50011, USA