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Covariant amplitudes for mesons
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abstract
We show how to construct covariant amplitudes for processes involving higher spins in this paper. First we give the explicit expressions of Rarita-Schwinger wave functions and propagators for bosons with spins, then kinematic singularity free 3-leg effective vertexes are derived and given in a list. Equivalence relations are worked out to get these independent vertexes. Constraints of space reflection symmetry and boson symmetry are considered and shown in a explicit way. Some helicity amplitudes for two-body decays in center of frame are calculated. Finally the covariant helicity amplitudes for the process $a_1\to \pi^+\pi^+\pi^-$ are constructed to illustrate how to include background (1PI) amplitudes. Both background amplitudes and resonance amplitudes are needed to give reliable descriptions to high energy reactions.
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Nucleon resonances in $\gamma p \to \omega p$ reaction
An effective Lagrangian fit to the latest CLAS data on gamma p to omega p identifies seven s-channel nucleon resonances (N(1520), N(1700), N(1720), N(1860), N(1875), N(1895) and N(2060)), with parameters compared to PDG.
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