Abstract
Equations for the construction of a crossing-symmetric unitary Regge theory of meson-meson scattering are described. In the case of strong coupling, Regge trajectories are to be generated dynamically as zeros of the function in a nonlinear system. This paper is concerned mainly with writing the inputs to the system in such a way that a convergent theory with exact crossing symmetry is defined. The scheme demands elimination of ghosts, i.e., bound-state poles at energies below threshold where trajectories pass through zero. A method for ghost elimination is proposed which entails an -wave subtraction constant, and allows the physical wave to be different from the -analytic amplitude evaluated at . A dynamical model is suggested in which the subtraction constant alone generates the meson-meson interaction. An alternative ghost-elimination scheme proposed by Gell-Mann, in which only -analytic amplitudes are involved, can be discussed in a formalism including channels with spin.
- Received 16 August 1976
DOI:https://doi.org/10.1103/PhysRevD.15.2366
©1977 American Physical Society