Stochastic approach to correlations beyond the mean field with the Skyrme interaction

Journal Article · Sat Oct 20 04:00:00 EDT 2012 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4764243· OSTI ID:22075611

Fukuoka, Y; Nakatsukasa, T; Funaki, Y; Yabana, K ^[1]

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1. Institute of Physics, University of Tsukuba, Tsukuba, 305-8571 (Japan)

Large-scale calculation based on the multi-configuration Skyrme density functional theory is performed for the light N=Z even-even nucleus, {sup 12}C. Stochastic procedures and the imaginary-time evolution are utilized to prepare many Slater determinants. Each state is projected on eigenstates of parity and angular momentum. Then, performing the configuration mixing calculation with the Skyrme Hamiltonian, we obtain low-lying energy-eigenstates and their explicit wave functions. The generated wave functions are completely free from any assumption and symmetry restriction. Excitation spectra and transition probabilities are well reproduced, not only for the ground-state band, but for negative-parity excited states and the Hoyle state.

• OSTI ID: 22075611
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1491; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CARBON 12
CONFIGURATION MIXING
DENSITY FUNCTIONAL METHOD
EIGENSTATES
EXCITATION
EXCITED STATES
GROUND STATES
HAMILTONIANS
MEAN-FIELD THEORY
NUCLEAR FORCES
NUCLEAR MATTER
NUCLEAR STRUCTURE
PARITY
SKYRME POTENTIAL
SLATER METHOD
STOCHASTIC PROCESSES
WAVE FUNCTIONS