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.

26 pages, 17 figures, and 1 table; version published in EPJA

References in corpus (9)

• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Ab initio alpha-alpha scattering
• Elastic proton scattering of medium mass nuclei from coupled-cluster theory
• The ground state energy at unitarity
• Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles
• Causality constraints for charged particles
• Scattering cluster wave functions on the lattice using the adiabatic projection method
• Fermion-dimer scattering using an impurity lattice Monte Carlo approach and the adiabatic projection method

Cited by in corpus (27)

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• Precise determination of lattice phase shifts and mixing angles
• Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order
• Coulomb corrections to two-particle interaction in artificial traps
• Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory
• Charged particles interaction in both a finite volume and a uniform magnetic field
• Nuclear reactions in artificial traps
• The Tjon Band in Nuclear Lattice Effective Field Theory
• Galilean invariance restoration on the lattice
• Universal dimer-dimer scattering in lattice effective field theory
• Alpha-alpha scattering in the Multiverse
• Lattice Effective Field Theory Simulations of Nuclei
• Ab Initio Simulations of Light Nuclear Systems Using Eigenvector Continuation and Auxiliary Field Monte Carlo
• Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice
• Lattice Monte Carlo Simulations with Two Impurity Worldlines
• Adiabatic projection method with Euclidean time subspace projection
• Lattice Improvement in Lattice Effective Field Theory
• Charge-dependent nucleon-nucleon interaction at N${}^3$LO in nuclear lattice effective field theory
• Investigating nuclear beta decay using lattice quantum Monte Carlo approach
• Renormalization of a Contact Interaction on a Lattice
• A Novel Regularization Scheme for Nucleon-Nucleon Lattice Simulations with Effective Field Theory
• Trapped two-nucleon system in energy-dependent effective field theory
• Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations