An effective field theory of the Delta-resonance

Autor:	Criado, Juan Carlos, Djouadi, Abdelhak, Koivunen, Niko, Müürsepp, Kristjan, Raidal, Martti, Veermäe, Hardi
Rok vydání:	2021
Předmět:	High Energy Physics - Phenomenology Nuclear Theory
Druh dokumentu:	Working Paper
Popis:	We present an effective field theory of the $\Delta$-resonance as an interacting Weinberg's $(3/2,0)\oplus (0,3/2)$ field in the multi-spinor formalism. We derive its interactions with nucleons $N$, pions $\pi$ and photons $\gamma$, and compute the $\Delta$-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 $N\pi\Delta$ and $\gamma\pi\Delta$. The proposed framework can be extended to also describe other higher-spin hadronic resonances. Comment: 8 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.09031 Zobrazit plný text záznamu View this record from Arxiv