The Relativistic Three-Body Bound State in Three-Dimensions

Abstract

Studying of the relativistic three-body bound state in a three-dimensional (3D) approach is a necessary first step in a process to eventually perform scattering calculations at GeV energies, where partial-wave expansions are not useful. To this aim we recently studied relativistic effects in the binding energy and for the first time, obtained the relativistic 3B wave function \cite{Hadizadeh_PRC90}. The relativistic Faddeev integral equations for the bound state are formulated in terms of momentum vectors, and relativistic invariance is incorporated within the framework of Poincaré invariant quantum mechanics.

Contribution to the 21st International Conference on Few-Body Problems in Physics, Chicago, Illinois, USA

References in corpus (2)

• First Order Relativistic Three-Body Scattering
• The Relativistic Three-Body Bound State in a 3D Formulation

Cited by in corpus (4)

• Calculation of Relativistic Nucleon-Nucleon Potentials in Three-Dimensions
• A three-dimensional momentum-space calculation of three-body bound state in a relativistic Faddeev scheme
• Relativistic nucleon-nucleon potentials in a spin-dependent three-dimensional approach
• Four-body bound states in momentum space: the Yakubovsky approach without two-body $t-$matrices