KMatrix Model for Pomeranchuk Exchange
Abstract
Starting from the assumption that the inelastic states in the unitarity relation can effectively be represented by a set of quasitwoparticle states, a Kmatrix formalism is set up for highenergy elastic scattering and diffractiondissociation processes. Using arguments similar to those of Freund, it is shown that the Pomeranchuk contribution to elastic scattering and diffraction dissociation can be generated by multiple exchange of an exchangedegenerate quantum number carrying Regge trajectory R, by considering at the same time a formation of a sequence of excited intermediate states of the colliding particles between the individual R exchanges. This unitarization procedure leads to an imaginary as well as a real contribution for vacuum exchange, corresponding basically to sums of double and triple Rexchange contributions, respectively. At the same time, the Kmatrix formalism produces an absorptive correction to the input Born terms. The consequences of the proposed model are worked out, particularly as regards the asymptotic behavior of total cross sections and the interpretation of the crossover phenomenon.
 Publication:

Physical Review D
 Pub Date:
 July 1970
 DOI:
 10.1103/PhysRevD.2.364
 Bibcode:
 1970PhRvD...2..364D