Consistency of the $\pi \Delta$ interaction in chiral perturbation theory

Abstract

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.

14 pages, no figures, REVTeX 4

References in corpus (2)

• Chiral Effective-Field Theory in the Delta(1232) Region: Pion Electroproduction on the Nucleon
• Chiral Extrapolations and the Covariant Small Scale Expansion

Cited by in corpus (15)

• Electromagnetic excitation of the Delta(1232)-resonance
• 50 Years of Quantum Chromodynamics
• Towards a theory of hadron resonances
• Hyperon decay form factors in chiral perturbation theory
• On-shell consistency of the Rarita-Schwinger field formulation
• Electromagnetic Nucleon-to-Delta Transition in Holographic QCD
• Magnetic dipole moment of the $\Delta (1232)$ in chiral perturbation theory
• On the definition of the Δmass and width
• Higher-spin particles at high-energy colliders
• Chiral Lagrangians with $\Delta (1232)$ to one loop
• Flavor decomposition of the pion-nucleon $\sigma$-term
• Complete Relativistic Description of the N*(1520)
• Topics in Effective Field Theory for Lattice QCD
• Axial-vector nucleon-to-delta transition form factors using the complex-mass renormalization scheme
• Recent Progress in Effective Field Theory in the One-Nucleon Sector