Higher derivative terms in the π Δ N interaction: Some phenomenological consequences
- Mariano, Alejandro Edgardo
- Badagnani, Daniel
- Barbero, César Alberto
- Berrueta Martínez, Estefanía
DOIAbstract
In this paper, we implement the use of a πN(1232) vertex interaction containing both first- and second-orderderivative terms, as required by renormalization and power-counting considerations. As was previously shown,both interactions present quantization shortcomings but can be used in a pertubative calculation. Our resultsindicate that the usual π derivative plus the spin-3/2 gauge invariant (derivative also in the field) should beincluded in amplitude calculations, as also all higher derivative interactions respecting chiral invariance. Weshow that both interactions make essentially the same resonant contribution to the elastic π+p cross section, sochanging the ratio between both coupling constants amounts to a correction of the backgroun...
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