First ab initio α-α scattering phase shifts with N3LO chiral NLEFT interaction on fine lattice agree with empirical data after Tikhonov regularization of the ill-conditioned norm matrix.
Nucleon-deuteron scattering using the adiabatic projection method
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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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Ab initio $\alpha$-$\alpha$ scattering with high-fidelity chiral interactions
First ab initio α-α scattering phase shifts with N3LO chiral NLEFT interaction on fine lattice agree with empirical data after Tikhonov regularization of the ill-conditioned norm matrix.