By dropping locality, the authors construct reflection-positive Euclidean distributions, quasi-Schwinger functions, that encode relativistic quantum mechanics of finite particle systems with cluster properties.
Relativity and the low energy nd Ay puzzle
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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.
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Reflection positivity in Euclidean formulations of relativistic quantum mechanics of particles
By dropping locality, the authors construct reflection-positive Euclidean distributions, quasi-Schwinger functions, that encode relativistic quantum mechanics of finite particle systems with cluster properties.