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Open-shell nuclei and excited states from multireference normal-ordered Hamiltonians

Eskendr Gebrerufael, Angelo Calci, and Robert Roth
Phys. Rev. C 93, 031301(R) – Published 3 March 2016

Abstract

We discuss the approximate inclusion of three-nucleon (3N) interactions into ab initio nuclear structure calculations using a multireference formulation of normal ordering and Wick's theorem. Following the successful application of single-reference normal ordering for the study of ground states of closed-shell nuclei, e.g., in coupled-cluster theory, multireference normal ordering opens a path to open-shell nuclei and excited states. Based on different multideterminantal reference states we benchmark the truncation of the normal-ordered Hamiltonian at the two-body level in no-core shell-model calculations for p-shell nuclei, including Li6,C12, and B10. We find that this multireference normal-ordered two-body approximation is able to capture the effects of the 3N interaction with sufficient accuracy, both for ground-state and excitation energies, at the computational cost of a two-body Hamiltonian. It is robust with respect to the choice of reference states and has a multitude of applications in ab initio nuclear structure calculations of open-shell nuclei and their excitations as well as in nuclear reaction studies.

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  • Received 5 November 2015

DOI:https://doi.org/10.1103/PhysRevC.93.031301

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Eskendr Gebrerufael1,*, Angelo Calci2, and Robert Roth1

  • 1Institut für Kernphysik, TU Darmstadt, Schlossgartenstrasse 2, 64289 Darmstadt, Germany
  • 2TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3 Canada

  • *eskendr@theorie.ikp.physik.tu-darmstadt.de

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Vol. 93, Iss. 3 — March 2016

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