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arXiv · 1012.1167

Novel Extrapolation Method in the Monte Carlo Shell Model

Noritaka Shimizu·Yutaka Utsuno·Takahiro Mizusaki·Takaharu Otsuka·Takashi Abe·Michio Honma
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Abstract

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.

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Noritaka Shimizu, Yutaka Utsuno, Takahiro Mizusaki, Takaharu Otsuka, Takashi Abe, Michio Honma. 2010-12-06. Novel Extrapolation Method in the Monte Carlo Shell Model. https://doi.org/10.1103/physrevc.82.061305

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