Space-Time Description of Hadrons. II
G. Domokos, Susan Kovesi-Domokos, F. Mansouri
Abstract
G. Domokos, Susan Kovesi-Domokos, F. Mansouri
Abstract
Interactions of composite (Reggeized) hadrons are investigated. We give a scheme of writing down trilinear vertices between hadrons that is consistent with Lorentz invariance. The vertices become local when the hadrons involved are put on their mass shells (physical points of the trajectories). A graphical method, similar to Feynman diagrams, is developed for writing down scattering amplitudes involving composite hadrons. The procedure for constructing scattering amplitudes is stated in terms of a few rules. The example of elastic scattering of spinless particles with the exchange of a single Lorentz pole is briefly discussed; it is shown that the diagram rules lead to the well-known expression for a scattering amplitude with rapidly decreasing residues.
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Interactions of composite (Reggeized) hadrons are investigated. We give a scheme of writing down trilinear vertices between hadrons that is consistent with Lorentz invariance. The vertices become local when the hadrons involved are put on their mass shells (physical points of the trajectories). A graphical method, similar to Feynman diagrams, is developed for writing down scattering amplitudes involving composite hadrons. The procedure for constructing scattering amplitudes is stated in terms of a few rules. The example of elastic scattering of spinless particles with the exchange of a single Lorentz pole is briefly discussed; it is shown that the diagram rules lead to the well-known expression for a scattering amplitude with rapidly decreasing residues.
Key concepts: Hadron, Feynman diagram, Physics, Scattering amplitude, Lorentz transformation, Scattering, Amplitude, Particle physics