https://doi.org/10.1140/epja/i2018-12553-y
Regular Article - Theoretical Physics
The Tjon band in Nuclear Lattice Effective Field Theory
1
Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany
2
Department of Physics, Karamanoglu Mehmetbey University, 70100, Karaman, Turkey
3
Institute for Advanced Simulation, Institut für Kernphysik, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany
4
National Superconducting Cyclotron Laboratory, Michigan State University, 48824, East Lansing, MI, USA
5
Department of Physics, North Carolina State University, 27695, Raleigh, NC, USA
6
JARA - High Performance Computing, Forschungszentrum Jülich, D-52425, Jülich, Germany
* e-mail: klein@hiskp.uni-bonn.de
Received:
20
March
2018
Accepted:
13
June
2018
Published online:
17
July
2018
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.
© SIF, Springer-Verlag GmbH Germany, part of Springer Nature, 2018
