Nucleon-deuteron scattering using the adiabatic projection method
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.
Keywords
Cite
@article{arxiv.1603.02333,
title = {Nucleon-deuteron scattering using the adiabatic projection method},
author = {Serdar Elhatisari and Dean Lee and Ulf-G. Meißner and Gautam Rupak},
journal= {arXiv preprint arXiv:1603.02333},
year = {2016}
}
Comments
26 pages, 17 figures, and 1 table; version published in EPJA