Two-body scattering without angular-momentum decomposition

Abstract

Two-body scattering is studied by solving the Lippmann-Schwinger equation in momentum space without angular-momentum decomposition for a local spin dependent short range interaction plus Coulomb. The screening and renormalization approach is employed to treat the Coulomb interaction. Benchmark calculations are performed by comparing our procedure with partial-wave calculations in configuration space for p-10Be, p-16O and 12C-10Be elastic scattering, using a simple optical potential model.

References in corpus (12)

• Momentum-space treatment of Coulomb interaction in three-nucleon reactions with two protons
• Ab initio four-body calculation of n-3He, p-3H, and d-d scattering
• Three-body description of direct nuclear reactions: Comparison with the continuum discretized coupled channels method
• Four-body calculation of proton-3He scattering
• Three-Body Scattering at Intermediate Energies
• Nucleon-Nucleon Scattering in a Three Dimensional Approach
• Two-Body T-Matrices without Angular Momentum Decomposition: Energy and Momentum Dependencies
• Three Body Bound State Calculations without Angular Momentum Decomposition
• Coulomb force effects in low-energy $\alpha$-deuteron scattering
• Three-Body Scattering Below Breakup Threshold: An Approach without using Partial Waves
• Consistent Treatment of Propagator Modifications in Elastic Nucleon-Nucleus Scattering within the Spectator Expansion
• Multiple scattering effects in quasi free scattering from halo nuclei: a test to Distorted Wave Impulse Approximation

Cited by in corpus (10)

• The Two-Nucleon System in Three Dimensions
• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• Separable Representation of Phenomenological Optical Potentials of Woods-Saxon Type
• Different Methods for the Two-Nucleon T-Matrix in the Operator Form
• Elastic Differential Cross Sections for Space Radiation Applications
• Weighted-residual methods for the solution of two-particle Lippmann-Schwinger equation without partial-wave decomposition
• Relativistic Elastic Differential Cross Sections for Equal Mass Nuclei
• Direct numerical solution of the two-particle Lippmann-Schwinger equation in coordinate space using the multi-variable Nystrom method
• 3H and 3He calculations without angular momentum decomposition
• Numerical study of the two-boson bound-state problem with and without partial-wave decomposition