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Quark-Mass Dependence of Elastic πK Scattering from QCD
David J Wilson1, Raúl A Briceño2,3, Jozef J Dudek2,4
1School of Mathematics, Trinity College, Dublin 2, Ireland.
Physical Review Letters
|September 7, 2019
Summary
We determined isospin-1/2 elastic pion-kaon scattering amplitudes using lattice quantum chromodynamics. Results show a P-wave resonance evolving from a bound state and an S-wave consistent with a K₀*(700) resonance.
Area of Science:
- Quantum Chromodynamics
- Particle Physics
- Scattering Theory
Background:
- Understanding hadron spectroscopy and interactions is crucial in quantum chromodynamics.
- Isospin-1/2 pion-kaon scattering is key to studying light scalar mesons.
- Lattice QCD provides a non-perturbative approach to solving quantum chromodynamics.
Purpose of the Study:
- To determine the isospin-1/2 elastic pion-kaon scattering amplitudes in S and P partial waves.
- To investigate the behavior of these amplitudes as a function of light-quark mass.
- To explore the nature of the scalar κ/K₀*(700) resonance within lattice QCD.
Main Methods:
- Utilizing lattice quantum chromodynamics (LQCD) calculations.
- Constraining scattering amplitudes at multiple real-valued energy points.
- Varying light-quark masses to simulate different pion masses (200-400 MeV) at a fixed lattice spacing.
Main Results:
- The P-wave scattering amplitude exhibits a pole singularity, transitioning from a bound state to a resonance as quark mass decreases.
- The S-wave amplitude shows a threshold rise, consistent with a broad κ/K₀*(700)-like resonance.
- Analytic continuation of lattice data requires advanced techniques to model-independently determine resonance properties.
Conclusions:
- Lattice QCD calculations provide valuable insights into pion-kaon scattering and light meson properties.
- The study highlights the challenges in model-independently extracting resonance parameters from lattice data.
- The generated amplitudes serve as crucial input for future, more sophisticated amplitude analyses.
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