Relativity and the low energy nd Ay puzzle

Abstract

We solve the Faddeev equation in an exactly Poincare invariant formulation of the three-nucleon problem. The dynamical input is a relativistic nucleon-nucleon interaction that is exactly on-shell equivalent to the high precision CDBonn NN interaction. S-matrix cluster properties dictate how the two-body dynamics is embedded in the three-nucleon mass operator. We find that for neutron laboratory energies above 20 MeV relativistic effects on Ay are negligible. For energies below 20 MeV dynamical effects lower the nucleon analyzing power maximum slightly by 2% and Wigner rotations lower it further up to 10 % increasing thus disagreement between data and theory. This indicates that three-nucleon forces must provide an even larger increase of the Ay maximum than expected up to now.

29 pages, 2 ps figures

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Cited by in corpus (21)

• Signatures of three-nucleon interactions in few-nucleon systems
• Three-nucleon force in relativistic three-nucleon Faddeev calculations
• Low-energy neutron-deuteron reactions with N3LO chiral forces
• Three Nucleon Force Effects in Intermediate Energy Deuteron Analyzing Powers for dp Elastic Scattering
• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• Relativity constraints on the two-nucleon contact interaction
• Spin in relativistic quantum theory
• Mini review of Poincaré invariant quantum theory
• Manifestation of three-body forces in three-body Bethe-Salpeter and light-front equations
• 3N Scattering in a Three-Dimensional Operator Formulation
• To the nature of nuclear force
• Calculation of Relativistic Nucleon-Nucleon Potentials in Three-Dimensions
• Model tests of cluster separability in relativistic quantum mechanics
• Relativistic corrections of one-nucleon current in low-energy three-nucleon photonuclear reactions
• Lorentz Boosted Nucleon-Nucleon T-matrix and the Triton Binding Energy
• Properties of dibaryons in nuclear medium
• Electron and neutrino scattering off the deuteron in a relativistic framework
• Three-nucleon force effects in inclusive spectra of the neutron-deuteron breakup reaction
• Relativistic descriptions of few-body systems
• Three-Nucleon Force Effects in the FSI configuration of the d(n, nn)p Breakup Reaction
• Derivation of Relativistic Yakubovsky Equations under Poincaré Invariance