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Nucleon-deuteron scattering using the adiabatic projection method

  • Regular Article - Theoretical Physics
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Abstract.

In this paper we discuss the adiabatic projection method, a general framework for scattering and reaction calculations on the lattice. We also introduce several new techniques developed to study nucleus-nucleus scattering and reactions on the lattice. We present technical details of the method for large-scale problems. To estimate the systematic errors of the calculations we consider simple two-particle scattering on the lattice. Then we benchmark the accuracy and efficiency of the numerical methods by applying these to calculate fermion-dimer scattering in lattice effective field theory with and without a long-range Coulomb potential. The fermion-dimer calculations correspond to neutron-deuteron and proton-deuteron scattering in the spin-quartet channel at leading order in the pionless effective field theory.

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Authors and Affiliations

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

    Serdar Elhatisari & Ulf-G. Meißner

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

    Dean Lee

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

    Ulf-G. Meißner

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

    Ulf-G. Meißner

  5. Department of Physics & Astronomy and HPC2 Center for Computational Sciences, Mississippi State University, 39762, Mississippi State, MS, USA

    Gautam Rupak

Authors
  1. Serdar Elhatisari
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  2. Dean Lee
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  3. Ulf-G. Meißner
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  4. Gautam Rupak
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Corresponding author

Correspondence to Serdar Elhatisari.

Additional information

Communicated by Shi-Lin Zhu

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Elhatisari, S., Lee, D., Meißner, UG. et al. Nucleon-deuteron scattering using the adiabatic projection method. Eur. Phys. J. A 52, 174 (2016). https://doi.org/10.1140/epja/i2016-16174-2

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  • DOI: https://doi.org/10.1140/epja/i2016-16174-2

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