First Order Relativistic Three-Body Scattering

Abstract

Relativistic Faddeev equations for three-body scattering at arbitrary energies are formulated in momentum space and in first order in the two-body transition-operator directly solved in terms of momentum vectors without employing a partial wave decomposition. Relativistic invariance is incorporated within the framework of Poincare invariant quantum mechanics, and presented in some detail. Based on a Malfliet-Tjon type interaction, observables for elastic and break-up scattering are calculated up to projectile energies of 1 GeV. The influence of kinematic and dynamic relativistic effects on those observables is systematically studied. Approximations to the two-body interaction embedded in the three-particle space are compared to the exact treatment.

26 pages, 13 figures

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• Measurement of the vector and tensor analyzing powers for dp- elastic scattering at 880 MeV
• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• Poincaré Invariant Three-Body Scattering at Intermediate Energies
• Relativistic Effects in Exclusive pd Breakup Scattering at Intermediate Energies
• Realistic two-nucleon potentials for the relativistic two-nucleon Schroedinger equation
• Mini review of Poincaré invariant quantum theory
• Manifestation of three-body forces in three-body Bethe-Salpeter and light-front equations
• Faddeev and Glauber Calculations at Intermediate Energies in a Model for n+d Scattering
• Bound State Calculations of the Three-Dimensional Yakubovsky Equations with the inclusion of Three-Body Forces
• The Relativistic Three-Body Bound State in a 3D Formulation
• A three-dimensional momentum-space calculation of three-body bound state in a relativistic Faddeev scheme
• Calculation of Relativistic Nucleon-Nucleon Potentials in Three-Dimensions
• The Relativistic Three-Body Bound State in Three-Dimensions
• Lorentz Boosted Nucleon-Nucleon T-matrix and the Triton Binding Energy
• Poincare Invariant Three-Body Scattering
• Relativistic nucleon-nucleon potentials in a spin-dependent three-dimensional approach
• Three different approaches to the same interaction: the Yukawa model in nuclear physics
• Towards a three dimensional solution for 3N bound states with 3NFs
• Three-body scattering in Poincaré invariant quantum mechanics
• Comment on "Three-dimensional study of the six-body bound-state for the case of effective three-body configuration model" [Int. J. Mod. Phys. E 25, 9 (2016) 1650072]
• Three-body forces in Bethe-Salpeter and light-front equations