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Relativity and the low energy nd Ay puzzle

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arxiv 0801.0367 v1 pith:5YMDDKCZ submitted 2008-01-02 nucl-th

Relativity and the low energy nd Ay puzzle

classification nucl-th
keywords three-nucleondynamicaleffectsenergiesexactlyinteractionlowermaximum
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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