Journal Article FZJ-2018-07614

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The Tjon band in Nuclear Lattice Effective Field Theory

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2018
Springer Heidelberg

The European physical journal / A 54(7), 121 () [10.1140/epja/i2018-12553-y]

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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.

Classification:

Contributing Institute(s):
  1. Theorie der Starken Wechselwirkung (IAS-4)
  2. Theorie der starken Wechselwirkung (IKP-3)
Research Program(s):
  1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)
  2. DFG project 196253076 - TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik (196253076) (196253076)
  3. Nuclear Lattice Simulations (hfz02_20150501) (hfz02_20150501)

Appears in the scientific report 2018
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 Record created 2018-12-19, last modified 2024-06-10