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The Tjon band in Nuclear Lattice Effective Field Theory

  • Regular Article - Theoretical Physics
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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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Authors and Affiliations

  1. Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany

    Nico Klein, Serdar Elhatisari & Ulf-G. Meißner

  2. Department of Physics, Karamanoglu Mehmetbey University, 70100, Karaman, Turkey

    Serdar Elhatisari

  3. Institute for Advanced Simulation, Institut für Kernphysik, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany

    Timo A. Lähde & Ulf-G. Meißner

  4. National Superconducting Cyclotron Laboratory, Michigan State University, 48824, East Lansing, MI, USA

    Dean Lee

  5. Department of Physics, North Carolina State University, 27695, Raleigh, NC, USA

    Dean Lee

  6. JARA - High Performance Computing, Forschungszentrum Jülich, D-52425, Jülich, Germany

    Ulf-G. Meißner

Authors
  1. Nico Klein
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  2. Serdar Elhatisari
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  3. Timo A. Lähde
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  4. Dean Lee
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  5. Ulf-G. Meißner
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Corresponding author

Correspondence to Nico Klein.

Additional information

Communicated by V. Somà

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Klein, N., Elhatisari, S., Lähde, T.A. et al. The Tjon band in Nuclear Lattice Effective Field Theory. Eur. Phys. J. A 54, 121 (2018). https://doi.org/10.1140/epja/i2018-12553-y

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  • DOI: https://doi.org/10.1140/epja/i2018-12553-y

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