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Updated: Jun 22, 2025
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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
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Scalar and Tensor Charmonium Resonances in Coupled-Channel Scattering from Lattice QCD
David J Wilson1, Christopher E Thomas1, Jozef J Dudek2,3
1DAMTP, University of Cambridge, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, United Kingdom.
Physical Review Letters
|July 1, 2024
Summary
Lattice QCD calculations reveal a single χ_{c0} and χ_{c2} resonance in the charmonium region. These resonances, found below 4000 MeV, exhibit significant couplings to open-charm meson channels.
Area of Science:
- * Nuclear and particle physics.
- * Quantum chromodynamics (QCD).
Background:
- * Understanding hadron spectroscopy and interactions is crucial for particle physics.
- * Previous theoretical and experimental studies have suggested different resonance structures in the charmonium spectrum.
Purpose of the Study:
- * To determine hadron-hadron scattering amplitudes in the charmonium energy region using lattice QCD.
- * To identify and characterize resonances, specifically χ_{c0} and χ_{c2}, within this energy range.
Main Methods:
- * Employing lattice QCD, a first-principles approach to quantum chromodynamics.
- * Computing over 200 finite-volume energy levels at a specific pion mass (m_{π}≈391 MeV).
- * Utilizing extensions of the Lüscher formalism to derive infinite-volume scattering amplitudes.
Main Results:
- * Identified a single χ_{c0} and a single χ_{c2} resonance, appearing as pole singularities below 4000 MeV.
- * Determined resonance widths to be approximately 70 MeV.
- * Found large and significant couplings to kinematically closed D*D* channels and various open-charm meson decay channels.
Conclusions:
- * The charmonium energy region up to 4100 MeV contains a single χ_{c0} and χ_{c2} resonance.
- * Findings contrast with some prior theoretical and experimental predictions regarding scalar bound states and near-threshold resonances.
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