Nuclear Lattice Simulations using Symmetry-Sign Extrapolation

Abstract

Projection Monte Carlo calculations of lattice Chiral Effective Field Theory suffer from sign oscillations to a varying degree dependent on the number of protons and neutrons. Hence, such studies have hitherto been concentrated on nuclei with equal numbers of protons and neutrons, and especially on the alpha nuclei where the sign oscillations are smallest. Here, we introduce the "symmetry-sign extrapolation" method, which allows us to use the approximate Wigner SU(4) symmetry of the nuclear interaction to systematically extend the Projection Monte Carlo calculations to nuclear systems where the sign problem is severe. We benchmark this method by calculating the ground-state energies of the ${}^{12}$C, ${}^6$He and ${}^6$Be nuclei, and discuss its potential for studies of neutron-rich halo nuclei and asymmetric nuclear matter.

25 pages, 12 figures, version to appear in Eur. Phys. J. A

References in corpus (6)

• Structure and rotations of the Hoyle state
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
• Spectral convexity for attractive SU(2N) fermions
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• The Hoyle state in Nuclear Lattice EFT