This title appears in the Scientific Report :
2018
Please use the identifier:
http://hdl.handle.net/2128/21241 in citations.
Please use the identifier: http://dx.doi.org/10.1103/PhysRevC.97.024325 in citations.
Ab initio translationally invariant nonlocal one-body densities from no-core shell-model theory
Ab initio translationally invariant nonlocal one-body densities from no-core shell-model theory
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...
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Personal Name(s): | Burrows, M. |
---|---|
Elster, Ch. (Corresponding author) / Popa, G. / Launey, K. D. / Nogga, A. / Maris, P. | |
Contributing Institute: |
Theorie der Starken Wechselwirkung; IAS-4 JARA - HPC; JARA-HPC Theorie der starken Wechselwirkung; IKP-3 |
Published in: | Physical Review C Physical review / C, 97 97 (2018 2018) 2 2, S. 024325 024325 |
Imprint: |
Woodbury, NY
Inst.
2018
2018-02-21 2018-02-01 |
DOI: |
10.1103/PhysRevC.97.024325 |
Document Type: |
Journal Article |
Research Program: |
Chiral dynamics in Few-Baryon Systems TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik Computational Science and Mathematical Methods |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1103/PhysRevC.97.024325 in citations.
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. |