Nuclear lattice simulations using symmetry-sign extrapolation

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...

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Bibliographic Details
Published in:The European physical journal. A, Hadrons and nuclei Hadrons and nuclei, 2015-07, Vol.51 (7), Article 92
Main Authors: Lähde, Timo A., Luu, Thomas, Lee, Dean, Meißner, Ulf-G., Epelbaum, Evgeny, Krebs, Hermann, Rupak, Gautam
Format: Article
Language:English
Subjects:
Hadrons
Heavy Ions
Nuclear Fusion
Nuclear Physics
Particle and Nuclear Physics
Physics
Physics and Astronomy
Regular Article - Theoretical Physics
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Summary: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.
ISSN:1434-6001
1434-601X
DOI:10.1140/epja/i2015-15092-1