Abstract
The homogeneous and inhomogeneous Bethe-Salpeter equations of the Wick-Cutkosky model are considered in the ladder approximation and for unequal masses of the external particles. By means of a perturbation procedure, complete expansions are obtained for the solutions and Regge trajectories. In terms of these, a solution of the four-point amplitude is derived and it is shown explicitly that the removal of the inhomogeneous term from the vertex equation implies the occurrence of a bound state in the four-point function which lies on the Regge trajectories derived from the homogeneous vertex equation. Finally, the asymptotic behaviour of both the amplitude and the vertex function is derived for the case when one of the external particles is far off its mass shell.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
