Consistency of the $πΔ$ interaction in chiral perturbation theory

Details Consistency of the $πΔ$ interaction in chiral perturbation theory Consistency of the $πΔ$ interaction in chiral perturbation theory

2006-02-08

arxiv.org/abs/hep-ph/0602073v1

Phys.Rev. D73 (2006) 094012

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, no figures, REVTeX 4

Scientific paper

10.1103/PhysRevD.73.094012

We analyze the constraint structure of a spin-3/2 particle interacting with a pseudoscalar. Requiring the self consistency of the considered effective field theory imposes restrictions on the possible interaction terms. In the present case we derive two constraints among the three lowest-order $\pi\Delta$ interaction terms. From these constraints we find that the total Lagrangian is invariant under the so-called point transformation. On the other hand, demanding the invariance under the point transformation alone is less stringent and produces only classes of relations among the coupling constants.

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