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Nucleon-deuteron scattering using the adiabatic projection method

Author:
Elhatisari, Serdar   Lee, Dean   Meißner, Ulf-G.   Rupak, Gautam   


Journal:
The European Physical Journal A


Issue Date:
2016


Abstract(summary):

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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