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arXiv · 1803.04231

The Tjon Band in Nuclear Lattice Effective Field Theory

Nico Klein·Serdar Elhatisari·Timo A. Lähde·Dean Lee·Ulf-G. Meißner
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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.

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Nico Klein, Serdar Elhatisari, Timo A. Lähde, Dean Lee, Ulf-G. Meißner. 2018-03-12. The Tjon Band in Nuclear Lattice Effective Field Theory. https://doi.org/10.1140/epja/i2018-12553-y

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