Relativistic triangle-diagram cross sections and the pnπ system (original) (raw)
In this work the authors evaluate explicitly the total cross section for relativistic processes, with three final particles, proceeding through triangle diagrams. The aim is to give evidence for possible anomalous behaviour, in some cross sections, produced purely by kinematics. It is suggested that the final-state interactions here considered may contribute in explaining {partially, at least) some enhancements in the effective-mass distributions as due to kinematical (non-dynamical) effects. Our general formulas are for example applied, as proposed by Duimio and Recami [4],+to the pnTr + system, and seem to allow reproducing the known peaking in the dy distribution at about 2.2 GeV/c2; our model, in particular, could give a possible justification for the appreciable deuteron survival in some collisions of mesons and deuterons, even at high projectile energies. The triangle-graph peaks appear to be highly asymmetric. Applications to nuclear physics are also considered; and a very simple formula -valid in this field -is given to predict the position of possible kinematical peaks.
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