Six-pion amplitude
Johan Bijnens, T. Husek
Abstract
Within the framework of the massive $\mathrm{O}(N)$ nonlinear sigma model extended to the next-to-leading order in the chiral counting [for $N=3$ corresponding to the two(-quark)-flavor Chiral Perturbation Theory], we calculate the relativistic six-pion scattering amplitude at low energy up to and including terms $\mathcal{O}({p}^{4})$. Results for the pion mass, decay constant, and four-pion amplitude in the case of $N$ (meson) flavors at $\mathcal{O}({p}^{4})$ are also presented.
Topics & Concepts
PionPhysicsChiral perturbation theoryAmplitudeParticle physicsMesonScattering amplitudeScatteringPerturbation theory (quantum mechanics)Sigma modelQuarkSigmaQuark modelOrder (exchange)Nonlinear systemQuantum electrodynamicsQuantum mechanicsFinanceQuarkoniumEconomicsQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studiesHigh-Energy Particle Collisions Research