Variation after parity projection calculation with the Skyrme interaction for light nuclei
Abstract
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, {sup 20}Ne and {sup 12}C, for which clustering correlations are known to be important. In the {sup 20}Ne nucleus, both cluster-like and shell-model-like states are described simultaneously in the present framework. For {sup 12}C 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.
- Authors:
-
- Institute of Physics, University of Tsukuba, Tsukuba 305-8571 (Japan)
- Publication Date:
- OSTI Identifier:
- 20695578
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review. C, Nuclear Physics
- Additional Journal Information:
- Journal Volume: 70; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevC.70.014301; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ANGULAR MOMENTUM; CARBON 12; CARTESIAN COORDINATES; CORRELATIONS; EXCITED STATES; GROUND STATES; L-S COUPLING; MATHEMATICAL SOLUTIONS; NEON 20; NUCLEAR STRUCTURE; PARITY; SHELL MODELS; SKYRME POTENTIAL; THREE-DIMENSIONAL CALCULATIONS; TWO-BODY PROBLEM
Citation Formats
Ohta, H, Yabana, K, Nakatsukasa, T, and Department of Physics, Tohoku University, Sendai 980-8578. Variation after parity projection calculation with the Skyrme interaction for light nuclei. United States: N. p., 2004.
Web. doi:10.1103/PhysRevC.70.014301.
Ohta, H, Yabana, K, Nakatsukasa, T, & Department of Physics, Tohoku University, Sendai 980-8578. Variation after parity projection calculation with the Skyrme interaction for light nuclei. United States. https://doi.org/10.1103/PhysRevC.70.014301
Ohta, H, Yabana, K, Nakatsukasa, T, and Department of Physics, Tohoku University, Sendai 980-8578. 2004.
"Variation after parity projection calculation with the Skyrme interaction for light nuclei". United States. https://doi.org/10.1103/PhysRevC.70.014301.
@article{osti_20695578,
title = {Variation after parity projection calculation with the Skyrme interaction for light nuclei},
author = {Ohta, H and Yabana, K and Nakatsukasa, T and Department of Physics, Tohoku University, Sendai 980-8578},
abstractNote = {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, {sup 20}Ne and {sup 12}C, for which clustering correlations are known to be important. In the {sup 20}Ne nucleus, both cluster-like and shell-model-like states are described simultaneously in the present framework. For {sup 12}C 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.},
doi = {10.1103/PhysRevC.70.014301},
url = {https://www.osti.gov/biblio/20695578},
journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 1,
volume = 70,
place = {United States},
year = {Thu Jul 01 00:00:00 EDT 2004},
month = {Thu Jul 01 00:00:00 EDT 2004}
}