Poincaré Invariant Three-Body Scattering at Intermediate Energies

Abstract

The relativistic Faddeev equation for three-nucleon scattering is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. The equation is solved through Padé summation, and the numerical feasibility and stability of the solution is demonstrated. Relativistic invariance is achieved by constructing a dynamical unitary representation of the Poincaré group on the three-nucleon Hilbert space. Based on a Malfliet-Tjon type interaction, observables for elastic and break-up scattering are calculated for projectile energies in the intermediate energy range up to 2 GeV, and compared to their nonrelativistic counterparts. The convergence of the multiple scattering series is investigated as a function of the projectile energy in different scattering observables and configurations. Approximations to the two-body interaction embedded in the three-particle space are compared to the exact treatment.

16 pages, 13 figures

References in corpus (3)

• Relativistic Effects in Exclusive pd Breakup Scattering at Intermediate Energies
• Realistic two-nucleon potentials for the relativistic two-nucleon Schroedinger equation
• First Order Relativistic Three-Body Scattering

Cited by in corpus (8)

• Differential Cross Section of DP-Elastic Scattering at Intermediate Energies
• Manifestation of three-body forces in three-body Bethe-Salpeter and light-front equations
• Mini review of Poincaré invariant quantum theory
• Solutions of the bound state Faddeev-Yakubovsky equations in three dimensions by using NN and 3N potential models
• Faddeev and Glauber Calculations at Intermediate Energies in a Model for n+d Scattering
• A New Approach to the 3D Faddeev Equation for Three-Body Scattering
• Poincare Invariant Three-Body Scattering
• Relativistic descriptions of few-body systems