Quantitative Relativistic Effects in the Three-Nucleon Problem

Abstract

The quantitative impact of the requirement of relativistic invariance in the three-nucleon problem is examined within the framework of Poincaré invariant quantum mechanics. In the case of the bound state, and for a wide variety of model implementations and reasonable interactions, most of the quantitative effects come from kinematic factors that can easily be incorporated within a non-relativistic momentum-space three-body code.

arXiv comment15 pages, 15 figures

References in corpus (8)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Relativistic effects in neutron-deuteron elastic scattering
• Relativistic calculation of the triton binding energy and its implications
• A Momentum Transformation Connecting a NN Potential in the Nonrelativistic and the Relativistic Two-Nucleon Schroedinger Equation
• Lorentz Boosted NN Potential for Few-Body Systems: Application to the three-nucleon bound state
• Comparison of Relativistic Nucleon-Nucleon Interactions
• Triton Binding Energy and Minimal Relativity
• The Balian-Brézin Method in Relativistic Quantum Mechanics

Cited by in corpus (20)

• Subtractive renormalization of the NN scattering amplitude at leading order in chiral effective theory
• Relativity and the low energy nd Ay puzzle
• Relativistic effects in exclusive neutron-deuteron breakup
• 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
• Mini review of Poincaré invariant quantum theory
• Deuteron tensor polarization component T_20(Q^2) as a crucial test for deuteron wave functions
• The Relativistic Three-Body Bound State in a 3D Formulation
• Two-Nucleon Scattering without partial waves using a momentum space Argonne V18 interaction
• A new form of three-body Faddeev equations in the continuum
• 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
• Faddeev approach to the reaction $K^{-}d\to \pi \Sigma n$ at $p_K=1$ GeV/c
• 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
• Three-body scattering in Poincaré invariant quantum mechanics
• Relativistic Faddeev 3D Equations for Three-Body Bound States Without Two-Body $t-$Matrices