Novel extrapolation method in the Monte Carlo shell model

Journal Article · Wed Dec 15 00:00:00 EST 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.82.061305· OSTI ID:21499243

Shimizu, Noritaka; Abe, Takashi ^[1]; Utsuno, Yutaka ^[2]; Mizusaki, Takahiro ^[3]; Otsuka, Takaharu ^[1]; Honma, Michio ^[4]

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1. Department of Physics, University of Tokyo, Hongo, Tokyo 113-0033 (Japan)
2. Advanced Science Research Center, Japan Atomic Energy Agency, Tokai, Ibaraki 319-1195 (Japan)
3. Institute of Natural Sciences, Senshu University, Tokyo, 101-8425 (Japan)
4. Center for Mathematical Sciences, Aizu University, Ikki-machi, Aizu-Wakamatsu, Fukushima 965-8580 (Japan)

We propose an extrapolation method utilizing energy variance in the Monte Carlo shell model to estimate the energy eigenvalue and observables accurately. We derive a formula for the energy variance with deformed Slater determinants, which enables us to calculate the energy variance efficiently. The feasibility of the method is demonstrated for the full pf-shell calculation of {sup 56}Ni, and the applicability of the method to a system beyond the current limit of exact diagonalization is shown for the pf+g{sub 9/2}-shell calculation of {sup 64}Ge.

• OSTI ID: 21499243
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevC.82.061305; (c) 2010 American Institute of Physics; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
EIGENVALUES
EXTRAPOLATION
GERMANIUM 64
MONTE CARLO METHOD
NICKEL 56
SHELL MODELS
SLATER METHOD
BETA DECAY RADIOISOTOPES
BETA-PLUS DECAY RADIOISOTOPES
CALCULATION METHODS
DAYS LIVING RADIOISOTOPES
ELECTRON CAPTURE RADIOISOTOPES
EVEN-EVEN NUCLEI
GERMANIUM ISOTOPES
INTERMEDIATE MASS NUCLEI
ISOTOPES
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MINUTES LIVING RADIOISOTOPES
NICKEL ISOTOPES
NUCLEAR MODELS
NUCLEI
NUMERICAL SOLUTION
RADIOISOTOPES