A multiperipheral model with continued cross channel unitarity

✍ Scribed by Shirley A Jackson

• Book ID: 102986932
• Publisher: Elsevier Science
• Year: 1975
• Tongue: English
• Weight: 776 KB
• Volume: 89
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(75)90299-7

✦ Synopsis

We derive, by using a spectral representation in momentum transfer, t, an integral equation, similar in structure to a multipheral equation, with continued cross channel unitarity, for the absorptive part for a composite particle scattering amplitude from a Bethe-Salpeter equation describing composite particle scattering in the s channel. At high energy in the t channel, the equation becomes homogeneous and has a Reggeized solution. We indicate how this equation may be solved using determinental techniques. We also show how the composite particle amplitude resulting from the original equation may be used to construct production and three body amplitudes. We also infer the possibility of studying, using the amplitude from the cross channel problem, the effect of extra unitarity on Reggeon-Reggeon-particle vertices.

1. INTR~D~JCTI~N

In recent years there has been much interest in ways of looking at multiparticle production phenomena and in models which attempt to set forth the basic dynamical mechanisms which give rise to such production. With regard to these considerations, many physicists have come to study what are known as inclusive reactions. These are reactions of the form where X denotes an unknown system of particles. Experimentally this process is realized by having a detection apparatus measure the momenta and types of particles c1 to ck , i.e., the distribution of one (or more) final particles is analyzed, all other particles being summed over.

The main pieces of information are single particle spectra, e.g., the momentum spectrum of the 7r+ produced in p-p collisions. What is measured is d3a d3p * Work based on Ph.D.