Lorentz Boosted Nucleon-Nucleon T-matrix and the Triton Binding Energy

Abstract

The phase equivalent relativistic NN potential, which is related by a nonlinear equation to the original nonrelativistic potential, is used to construct the mass operator (rest Hamiltonian) of the 3-nucleon system. Employing the CD Bonn NN potential, the solution of the relativistic 3N Faddeev equation for ${}^3$H shows slightly less binding energy than the corresponding nonrelativistic result. The effect of the Wigner spin rotation on the binding is very small.

6 pages, 2 figures, Asia Pacific Few-Body Conference 2008 in Indonesia, submitted to Modern Physics Letters A

References in corpus (9)

• Electron and Photon Scattering on Three-Nucleon Bound States
• Systematic study of three-nucleon force effects in the cross section of the deuteron-proton breakup at 130 MeV
• Relativity and the low energy nd Ay puzzle
• Lorentz Boosted NN Potential for Few-Body Systems: Application to the three-nucleon bound state
• 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
• First Order Relativistic Three-Body Scattering
• Quantitative Relativistic Effects in the Three-Nucleon Problem

Cited by in corpus (4)

• Mini review of Poincaré invariant quantum theory
• The Relativistic Three-Body Bound State in a 3D Formulation
• Derivation of Relativistic Yakubovsky Equations under Poincaré Invariance
• Effect of Nucleon Dressing on the Triton Binding Energy