Exploratory investigation of nucleon-nucleon interactions using Euclidean Monte Carlo simulations

Abstract

We present an exploratory study of chiral effective theories of nuclei with methods adopted from lattice quantum chromodynamics (QCD). We show that the simulations in the Euclidean path integral approach are feasible and that we can determine the energy of the two nucleon state. This opens up the possibility to determine in future simulations nucleon phase shifts by varying the parameters and the simulated volumes. The physical cut-off of the theory is realised by blocking of the lattice fields. By keeping the block size fixed in physical units the lattice cut-off (i.e. the lattice spacing) can be freely changed. This offers an effective way for controlling lattice artefacts.

19 pages, 3 figures, including some corrections and clarifications, version accepted for publication in EPJA

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Cited by in corpus (6)

• The gluino-glue particle and finite size effects in supersymmetric Yang-Mills theory
• A new tool in nuclear physics: Nuclear lattice simulations
• Regularization Methods for Nuclear Lattice Effective Field Theory
• Photodisintegration of a Bound State on the Torus
• Lattice Improvement in Lattice Effective Field Theory
• Unquenched simulations of four-nucleon interactions