The complex angular momentum theory of the production of three particles in collisions of two strongly interacting particles at high energy
<p>The problem of the continuation to complex values of the angular momentum of the partial wave amplitude is examined for the simplest production process, that of two particles → three particles. The presence of so-called "anomalous singularities" complicates the procedure follo...
| Summary: | <p>The problem of the continuation to complex values of the angular
momentum of the partial wave amplitude is examined for the simplest
production process, that of two particles → three particles. The
presence of so-called "anomalous singularities" complicates the procedure
followed relative to that used for quasi two-body scattering
amplitudes. The anomalous singularities are shown to lead to exchange
degenerate amplitudes with possible poles in much the same way as
"normal" singularities lead to the usual signatured amplitudes. The
resulting exchange-degenerate trajectories would also be expected to
occur in two-body amplitudes.</p>
<p>The representation of the production amplitude in terms of the
singularities of the partial wave amplitude is then developed and
applied to the high energy region, with attention being paid to the
emergence of "double Regge" terms. Certain new results are obtained
for the behavior of the amplitude at zero momentum transfer, and some
predictions of polarization and minima in momentum transfer distributions
are made. A calculation of the polarization of the ρ<sup>o</sup> meson in
the reaction π <sup>-</sup> p → π <sup>-</sup> ρ<sup>o</sup>p at high energy with small momentum transfer
to the proton is compared with data taken at 25 Gev by W. D. Walker and
collaborators. The result is favorable, although limited by the statistics
of the available data.</p> |
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