[Submitted on 7 Mar 2016]
Nucleon-deuteron scattering using the adiabatic projection method
Serdar Elhatisari🇩🇪 · Dean Lee🇺🇸 · Ulf-G. Meißner🇩🇪 · Gautam Rupak🇺🇸
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.
- Comments:
- 26 pages, 17 figures, and 1 table; version published in EPJA
- Subjects:
- Nuclear Theory (nucl-th); Quantum Gases (cond-mat.quant-gas); High Energy Physics — Lattice (hep-lat)
- arXiv:
- 1603.02333 [pdf]