Resonances in coupled {\pi}K,{\eta}K scattering from quantum chromodynamics

TL;DR

This study uses lattice QCD calculations to identify and analyze strangeness=1 resonances in coupled cc K, betab K scattering, revealing detailed patterns of these resonances from first principles.

Contribution

First-principles lattice QCD computation of coupled cc K, betab K scattering amplitudes and resonance patterns at physical quark masses.

Findings

Identified complex singularities indicating resonances.

Mapped out energy dependence of scattering amplitudes.

Provided detailed resonance patterns in strangeness=1 sector.

Abstract

Using first-principles calculation within Quantum Chromodynamics, we are able to determine a pattern of strangeness=1 resonances which appear as complex singularities within coupled $\pi K$, $\eta K$ scattering amplitudes. We make use of numerical computation in the lattice discretized approach to the quantum field theory with light quark masses corresponding to $m_\pi \sim 400\, \textrm{MeV}$ and at a single lattice spacing. The energy dependence of scattering amplitudes is extracted through their relationship to the discrete spectrum in a finite-volume, which we map out in unprecedented detail.