${}^4$He energies and radii by the coupled-cluster method with many-body average potential

Abstract

The reformulated coupled-cluster method (CCM), in which average many-body potentials are introduced, provides a useful framework to organize numerous terms appearing in CCM equations, which enables us to clarify the structure of the CCM theory and physical importance of various terms more easily. We explicitly apply this framework to ${}^4$He, retaining one-body and two-body correlations as the first illustrating attempt. Numerical results with using two modern nucleon-nucleon interactions (AV18 and CD-Bonn) and their low-momentum interactions are presented. The characters of short-range and many-body correlations are discussed. Although not considered explicitly, the expression of the ground-state energy in the presence of a three-nucleon force is given.

12 pages, 11 figures, accepted for publication in PRC

References in corpus (6)

• Chiral effective field theory and nuclear forces
• Recent developments in no-core shell-model calculations
• Coupled-cluster theory for three-body Hamiltonians
• Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory
• Ab-initio computation of neutron-rich oxygen isotopes
• Ab initio coupled-cluster theory for open-shell nuclei

Cited by in corpus (5)

• Coupled-cluster computations of atomic nuclei
• Nuclear and neutron matter $G$-matrix calculations with Ch-EFT potential including effects of three-nucleon interaction
• Strength of reduced two-body spin-orbit interaction from chiral three-nucleon force
• Introduction of the one-body correlation operator in the unitary-model-operator approach
• Ground-state energies and charge radii of ${}^4$He, ${}^{16}$O, ${}^{40}$Ca, and ${}^{56}$Ni in the unitary-model-operator approach