2004/04/28 by Hirofumi Ohta, Hiroki Ohta, Kazuhiro Yabana +1
Mathematics · Physics and Astronomy · #Algorithm #Angular momentum #Atomic and Molecular Physics #Atomic orbital #Atomic physics #Cluster (spacecraft) #Excited state #Ground state #Mathematics #Nuclear physics research studies #Nucleus #Parity (physics) #Physics #Projection (relational algebra) #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #nucl-th
paper · pdf · doi:10.1103/physrevc.70.014301
published as Phys.Rev. C70 (2004) 014301 · 6 pages, revtex
arxiv created 2004/04/28 · openalex publication_date 2004/07/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A self-consistent calculation with variation after parity projection is proposed to study both ground and excited states of light nuclei. This procedure provides description of the ground state incorporating some correlation effects, and self-consistent solutions for the excited states of negative parity. For flexible description of nuclear shapes, single particle orbitals are represented on a uniform grid in the three-dimensional Cartesian coordinates. The angular momentum projection is performed after variation to calculate rotational spectra. To demonstrate the usefulness of the method, results are shown for two N=Z nuclei, 20Ne and 12C, for which clustering correlations are known to be important. In the 20Ne nucleus, both cluster-like and shell-model-like states are described simultaneously in the present framework. For 12C nucleus, the appearance of three-alpha clustering correlation in the ground state is investigated in relation to the strength of the two-body spin-orbit interaction.