2021/06/16 by Juan Carlos Criado, A. Djouadi, Criado, Juan Carlos +9
Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Quantum chaos and dynamical systems #Scientific Research and Discoveries
paper · pdf · doi:10.48550/arxiv.2106.09031
openalex publication_date 2021/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present an effective field theory of the Δ-resonance as an interacting Weinberg's (3/2,0)⊕ (0,3/2) field in the multi-spinor formalism. We derive its interactions with nucleons N, pions π and photons γ, and compute the Δ-resonance cross-sections in pion-nucleon scattering and pion photo-production. The theory contains only the physical spin-3/2 degrees of freedom. Thus, it is intrinsically consistent at the Hamiltonian level and, unlike the commonly used Rarita-Schwinger framework, does not require any additional ad hoc manipulation of couplings or propagators. The symmetries of hadronic physics select a unique operator for each coupling NπΔ and γπΔ. The proposed framework can be extended to also describe other higher-spin hadronic resonances.