Zero pion mass limit in interaction at very high energies

It is supposed that, similarly to the situation at small energies, the hadronic amplitudes at high energies do not tend to infinity within the limit of vanishing pion mass. In this limit some specific phenomena arise, one of which, the appearence of the singularity in the trajectories of the Regge-p...

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Published inPhysics letters. B Vol. 40; no. 4; pp. 487 - 490
Main Authors Anselm, A.A., Gribov, V.N.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.1972
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Abstract It is supposed that, similarly to the situation at small energies, the hadronic amplitudes at high energies do not tend to infinity within the limit of vanishing pion mass. In this limit some specific phenomena arise, one of which, the appearence of the singularity in the trajectories of the Regge-poles, is discussed. It is shown that the increase of the slope of the diffraction peak at small − t, observed in ISR experiments, can be explained, in the order of magnitude, with the help of the theory exploiting the small value of the pion mass. A (20–40)% decrease of the slope of ϱ-trajectory at t=0 is predicted as compared to the slope at − t ⪢ 4 μ 2 ≈ 0.08 GeV 2.
AbstractList It is supposed that, similarly to the situation at small energies, the hadronic amplitudes at high energies do not tend to infinity within the limit of vanishing pion mass. In this limit some specific phenomena arise, one of which, the appearence of the singularity in the trajectories of the Regge-poles, is discussed. It is shown that the increase of the slope of the diffraction peak at small − t, observed in ISR experiments, can be explained, in the order of magnitude, with the help of the theory exploiting the small value of the pion mass. A (20–40)% decrease of the slope of ϱ-trajectory at t=0 is predicted as compared to the slope at − t ⪢ 4 μ 2 ≈ 0.08 GeV 2.
Author Anselm, A.A.
Gribov, V.N.
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