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The shell model Monte Carlo (SMMC) method is a powerful method forcalculating exactly (up to statistical errors) thermal observables andstatistical properties of atomic nuclei. However, its application has beenlimited by a sign problem at low temperatures that arises from the projectiononto odd particle number even for good-sign interactions. Here, we develop atechnique - the partition function extrapolation method (PFEM) - to extract theground-state energy of an odd-mass nucleus from the excitation partitionfunction calculated at temperatures at which this sign problem is moderate. Wevalidate the PFEM in heavy even-mass nuclei and systematically calculateground-state energies for isotopic chains of heavy odd-mass nuclei. The PFEMcan be extended to other finite-size quantum many-body systems.

Circumventing the odd particle-number sign problem in the shell model Monte Carlo