Odd-particle systems in the shell model Monte Carlo: circumventing a sign problem

Abstract

We introduce a novel method within the shell model Monte Carlo approach to calculate the ground-state energy of a finite-size system with an odd number of particles by using the asymptotic behavior of the imaginary-time single-particle Green's functions. The method circumvents the sign problem that originates from the projection on an odd number of particles and has hampered direct application of the shell model Monte Carlo method to odd-particle systems. We apply this method to calculate pairing gaps of nuclei in the iron region. Our results are in good agreement with experimental pairing gaps.

References in corpus (2)

• Heavy deformed nuclei in the shell model Monte Carlo method
• Shell-Model Monte Carlo Simulations of BCS-BEC Crossover in Few-Fermion Systems

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• Recent developments in the shell model Monte Carlo approach to nuclei
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• Recent Advances in the Microscopic Calculations of Level Densities by the Shell Model Monte Carlo Method
• Recent Advances in the Application of the Shell Model Monte Carlo Approach to Nuclei