Momentum Dependence of the 180°<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mi>p</mml:mi></mml:math>Charge-Exchange Cross Section

A detailed analysis of the phenomenon of near-saturation of isospin bounds is performed using available experimental information on πN → πN, KN → KN and πN → KΣ. The puzzle, previously observed mainly in low energy πN → πN at 180°, is found to exist also elsewhere, in particular in KN → KN at 180° at intermediate angles in terms of the O 3 invariant bound of Doncel, Michel and Minnaert. The widespread occurrence of the phenomenon makes us suggest the hypothesis that it is a general approximate property of nondiffrative scattering. The significance of the effect is studied with a statistical model and the extent to which well known phenomenology can explain it is discussed, but it is concluded that the effect is more general than can be expected from simple arguments.

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Momentum Dependence of the 180°π−pCharge-Exchange Cross Section

Cited by 5 publications

References 87 publications

Pion-nucleon scattering in the backward hemisphere

Pion-nucleon scattering in the backward hemisphere

Pion-nucleon scattering up to 10 Gev/c

The Puzzle of the Near-Saturation of Isospin Bounds in πN → πN, KN → KN and πN → KΣ

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