Binding energies and energy differences for \(p\)-shell nuclei from \textit{ab initio} calculations with natural orbitals

ORAL

Abstract

\textit{Ab initio} methods in nuclear theory strive to make quantitative predictions of nuclear observables, starting with the internucleon interaction. In the no-core configuration interaction (NCCI) approach, the nuclear many-body problem is solved in a basis of Slater determinants constructed from single-particle states. NCCI calculations are computationally limited by combinatorial explosion of the many-body basis size; as such, choice of basis greatly influences convergence. Natural orbitals, constructed by diagonalizing the one-body density matrix from an initial many-body calculation, maximize occupation of the lowest single-particle states and thereby reduce the importance of higher-lying many-body basis states. We use natural orbitals to explore energies and energy differences in \(p\)-shell nuclei.

*Supported by the US DOE under Award Nos.~DE-FG02-95ER-40934, DE-FG02-91ER-40608, DESC0008485 (SciDAC/NUCLEI), and DE-FG02-87ER40371 and the US NSF under Award No.~NSF-PHY05-52843. Computational resources provided by NERSC (DOE Contract~DE-AC02-05CH11231).

Authors

  • Patrick J. Fasano

    • University of Notre Dame
  • M. A. Caprio

    • University of Notre Dame
    • Univ of Notre Dame
  • Chrysovalantis Constantinou

    • Yale University
  • Pieter Maris

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

    • Department of Physics \& Astronomy, Iowa State University
    • Iowa State University