Novel Extrapolation Method in the Monte Carlo Shell Model

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.

4 pages, 4figures

Cited by in corpus (3)

• Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods
• Variational procedure for nuclear shell-model calculations and energy-variance extrapolation
• No-Core Monte Carlo Shell Model Calculations with Unitary Correlation Operator Method and Similarity Renormalization Group