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arXiv · 1603.02333

Nucleon-deuteron scattering using the adiabatic projection method

Serdar Elhatisari·Dean Lee·Ulf-G. Meißner·Gautam Rupak
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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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Serdar Elhatisari, Dean Lee, Ulf-G. Meißner, Gautam Rupak. 2016-06-23. Nucleon-deuteron scattering using the adiabatic projection method. https://doi.org/10.1140/epja%2Fi2016-16174-2

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