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Light quark mass dependence in heavy quarkonium physics
1Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, Bonn, Germany. fkguo@hiskp.uni-bonn.de
Physical Review Letters
|September 26, 2012
Summary
Chiral extrapolations are crucial for heavy quarkonium systems, especially near flavor thresholds. Lattice simulations must account for these effects, as results can significantly differ from physical values.
Area of Science:
- Nuclear Physics
- Quantum Chromodynamics
- Particle Physics
Background:
- Heavy quarkonium systems are essential for understanding quantum chromodynamics.
- Chiral extrapolations are standard methods for relating lattice QCD results to physical observables.
- The behavior of heavy quarkonia near open flavor thresholds is not fully understood.
Purpose of the Study:
- To investigate the necessity and implications of chiral extrapolations in heavy quarkonium systems.
- To analyze the light quark mass dependence of heavy quarkonium properties, particularly near flavor thresholds.
- To examine the impact of these effects on M1 transitions in P-wave charmonia.
Main Methods:
- Theoretical analysis of chiral extrapolations in heavy quarkonium systems.
- Focus on decay widths of hindered M1 transitions between excited and ground states of P-wave charmonia.
- Consideration of nonanalytic chiral extrapolations for systems near open flavor thresholds.
Main Results:
- The light quark mass dependence of heavy quarkonium properties is not always suppressed.
- Nonanalytic chiral extrapolations are required for quarkonia near an open flavor threshold.
- Decay widths for hindered M1 transitions in P-wave charmonia can deviate by a factor of two at a pion mass of 500 MeV compared to physical values.
Conclusions:
- Chiral extrapolations are necessary for accurate lattice simulations of heavy quarkonium systems.
- Lattice calculations of these transitions can elucidate the role of coupled-channel effects involving virtual heavy mesons.
- Accurate chiral extrapolation is vital for understanding heavy quarkonium physics and comparing lattice results to experimental data.
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