Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions

By G. Hagen, Thomas Papenbrock, David J. Dean, Morten Hjorth-Jensen. 2010

147 citations recorded by the source corpus.

We perform coupled-cluster calculations for the doubly magic nuclei ^{4}He, ^{16}O, and ^{40,48}Ca for neutron-rich isotopes of oxygen and fluorine, and employ "bare" and secondary renormalized nucleon-nucleon interactions. For the nucleon-nucleon interaction from chiral effective field theory at order next-to-next-to-next-to leading order, we find that the coupled-cluster approximation including triples corrections binds nuclei within 0.4 MeV per nucleon compared to data. We employ interactions from a resolution-scale dependent similarity renormalization group transformation and assess the validity of power-counting estimates in medium-mass nuclei. We find that the missing contributions due to three-nucleon forces are consistent with these estimates. For the unitary correlator model potential, we find a slow convergence with respect to increasing the size of the model space. For the G-matrix approach, we find a weak dependence of ground-state energies on the starting energy combined with a rather slow convergence with respect to increasing model spaces. We also analyze the center-of-mass problem and present a practical and efficient solution.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/741ab1a629289833397d8ea181c2fe53af0c8bb9

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In Atomic and Molecular Physics, and Optics

  1. Scott Bogner
  2. A. Schwenk
  3. K. Tsukiyama
  4. H. Hergert
  5. Titus Morris

In Nuclear and High Energy Physics

  1. H. Hergert
  2. Titus Morris
  3. A. Schwenk
  4. Scott Bogner
  5. K. Tsukiyama

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