https://doi.org/10.1140/epja/i2016-16174-2
Regular Article - Theoretical Physics
Nucleon-deuteron scattering using the adiabatic projection method
1
Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany
2
Department of Physics, North Carolina State University, 27695, Raleigh, NC, USA
3
Institute for Advanced Simulation, Institut für Kernphysik, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany
4
JARA - High Performance Computing, Forschungszentrum Jülich, D-52425, Jülich, Germany
5
Department of Physics & Astronomy and HPC2 Center for Computational Sciences, Mississippi State University, 39762, Mississippi State, MS, USA
* e-mail: elhatisari@hiskp.uni-bonn.de
Received:
10
March
2016
Accepted:
9
May
2016
Published online:
27
June
2016
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.
© SIF, Springer-Verlag Berlin Heidelberg, 2016
