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Novel Extrapolation Method in the Monte Carlo Shell Model

Noritaka Shimizu
(
- Tokyo U.
)
,
Yutaka Utsuno
(
- JAEA, Ibaraki
)
,
Takahiro Mizusaki
(
- Senshu U., Tokyo
)
,
Takaharu Otsuka
(
- Tokyo U. and
- Michigan State U., NSCL
)
,
Takashi Abe
(
- Tokyo U.
)

Dec, 2010

4 pages

Published in:

Phys.Rev.C 82 (2010) 061305

e-Print:

1012.1167 [nucl-th]

DOI:

10.1103/PhysRevC.82.061305

View in:

reference search44 citations

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Abstract: (arXiv)

We propose an extrapolation method utilizing energy variance in the Monte Carlo shell model in order 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

^{56}

Ni, and the applicability of the method to a system beyond current limit of exact diagonalization is shown for the

pf

+

g_{9/2}

-shell calculation of

^{64}

Ge.

27.50.+e
21.60.Cs
24.10.Cn
21.60.Ka

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