The Tjon Band in Nuclear Lattice Effective Field Theory
Abstract
We explore the lattice spacing dependence in Nuclear Lattice Effective Field Theory for few-body systems up to next-to-next-to leading order in chiral effective field theory including all isospin breaking and electromagnetic effects, the complete two-pion-exchange potential and the three-nucleon forces. We calculate phase shifts in the neutron-proton system and proton-proton systems as well as the scattering length in the neutron-neutron system. We then perform a full next-to-next-to-leading order calculation with two-nucleon and three-nucleon forces for the triton and helium-4 and analyse their binding energy correlation. We show how the Tjon band is reached by decreasing the lattice spacing and confirm the continuum observation that a four-body force is not necessary to describe light nuclei.
Keywords
Cite
@article{arxiv.1803.04231,
title = {The Tjon Band in Nuclear Lattice Effective Field Theory},
author = {Nico Klein and Serdar Elhatisari and Timo A. Lähde and Dean Lee and Ulf-G. Meißner},
journal= {arXiv preprint arXiv:1803.04231},
year = {2018}
}
Comments
15 pages, 9 figures