Speaker
Description
Hadron spectroscopy plays an important role in understanding the strong interactions, from conventional hadrons to exotic states like hybrids with explicit gluonic components. Finite-Energy Sum Rules (FESR) link low-energy resonance dynamics with high-energy Regge behavior, providing a powerful theoretical framework to study these states. Building upon the JPAC's work on $\pi p \to \pi \,\eta\, p$ and COMPASS data on $\eta\pi$ production, we aim to extend the application of the FESR to this process.
Our approach simplifies the $2 \to 3$ scattering process into a tractable $2 \to 2$ reaction $f_2 + \pi \to \pi + \eta$, preserving the essential physics while reducing computational complexity. To support this methodology, we analyze fundamental reactions such as $\eta \eta \to \eta \eta$, $\pi \pi \to \pi \pi$, and $\pi \eta \to \pi \eta$, establishing a foundation for exploring more intricate hadronic systems.
