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We extend the shell-model Monte Carlo applications to the rare-earth regionto include the odd-even nucleus ${}^{161}$Dy. The projection on an odd numberof particles leads to a sign problem at low temperatures making it impracticalto extract the ground-state energy in direct calculations. We use levelcounting data at low energies and neutron resonance data to extract the shellmodel ground-state energy to good precision. We then calculate the leveldensity of ${}^{161}$Dy and find it in very good agreement with the leveldensity extracted from experimental data.

Nuclear Level Density of ${}^{161}$Dy in the Shell Model Monte Carlo Method