Nuclear Structure Calculations with Low-Momentum Potentials in a Model Space Truncation Approach

Abstract

We have calculated the ground-state energy of the doubly magic nuclei 4He, 16O and 40Ca within the framework of the Goldstone expansion starting from various modern nucleon-nucleon potentials. The short-range repulsion of these potentials has been renormalized by constructing a low-momentum potential V-low-k. We have studied the connection between the cutoff momemtum Lambda and the size of the harmonic oscillator space employed in the calculations. We have found a fast convergence of the results with a limited number of oscillator quanta.

6 pages, 8 figures, to be published on Physical Review C

References in corpus (3)

• Calculation of the Alpha--Particle Ground State within the Hyperspherical Harmonic Basis
• Nuclear Structure Calculations and Modern Nucleon-Nucleon Potentials
• The unitary-model-operator approach to nuclear many-body problems

Cited by in corpus (12)

• Shell-model calculations and realistic effective interactions
• Reduced regulator dependence of neutron-matter predictions with chiral interactions
• Low Momentum Nucleon-Nucleon Interactions and Shell-Model Calculations
• Pade-resummed high-order perturbation theory for nuclear structure calculations
• Ground-state and single-particle energies of nuclei around ^{16}O, ^{40}Ca, and ^{56}Ni from realistic nucleon-nucleon forces
• Momentum distributions and spectroscopic factors of doubly-closed shell nuclei in correlated basis function theory
• Ground state of medium-heavy doubly-closed shell nuclei in correlated basis function theory
• Weakly bound nuclei and realistic NN interactions
• Shell-model studies on exotic nuclei around 132Sn
• Tri-axial deformation in nuclei with realistic NN interactions
• Study of the ground-state energy of 40Ca with the CD-Bonn nucleon-nucleon potential
• Shell-model structure of exotic nuclei beyond 132Sn