Configuration mixing calculation for complete low-lying spectra with a mean-field Hamiltonian

Journal Article · Wed Nov 15 04:00:00 EST 2006 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.74.054315· OSTI ID:20864031

Shinohara, Satoshi; Ohta, Hirofumi; Nakatsukasa, Takashi; Yabana, Kazuhiro ^[1]

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

We propose a new theoretical approach to ground and low-energy excited states of nuclei extending the nuclear mean-field theory. It consists of three steps: stochastic preparation of many Slater determinants, the parity and angular-momentum projection, and diagonalization of the generalized eigenvalue problems. The Slater determinants are constructed in the three-dimensional Cartesian coordinate representation capable of describing arbitrary shape of nuclei. We examine feasibility and usefulness of the method by applying the method with the Bonche-Koonin-Negele interaction to light 4N nuclei, {sup 12}C, {sup 16}O, and {sup 20}Ne. We discuss difficulties of keeping linear independence for basis states projected on good parity and angular momentum and present a possible prescription.

• OSTI ID: 20864031
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 5 Vol. 74; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
CARBON 12
CARTESIAN COORDINATES
CONFIGURATION MIXING
EIGENVALUES
ENERGY SPECTRA
EXCITED STATES
HAMILTONIANS
MEAN-FIELD THEORY
NEON 20
OXYGEN 16
PARITY
SLATER METHOD
THREE-DIMENSIONAL CALCULATIONS