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Three-Body Dynamics of the a_{1}(1260) Resonance from Lattice QCD
Maxim Mai1, Andrei Alexandru1,2, Ruairí Brett1
1The George Washington University, Washington, D.C. 20052, USA.
Physical Review Letters
|December 10, 2021
Summary
This study calculates the properties of the a₁(1260) resonance, a three-body system, using lattice quantum chromodynamics (QCD). It provides the first ab initio calculation of its pole position and branching ratios, advancing hadron physics research.
Area of Science:
- * Nuclear and Particle Physics
- * Quantum Chromodynamics (QCD)
- * Hadron Spectroscopy
Background:
- * Resonant hadronic systems frequently display complex decay patterns.
- * Three-body dynamics are crucial in understanding these systems.
- * The a₁(1260) resonance is a key example of such a system.
Purpose of the Study:
- * To calculate the pole position and branching ratios of the a₁(1260) resonance.
- * To investigate the role of three-body dynamics in hadronic systems.
- * To establish a new milestone in ab initio studies of resonances.
Main Methods:
- * Employing lattice QCD for calculations.
- * Utilizing one-, two-, and three-meson interpolators.
- * Applying an extended three-body finite-volume formalism incorporating spin and coupled channels.
Main Results:
- * First-ever calculation of the pole position for a three-body resonance from lattice QCD.
- * First-ever calculation of branching ratios for a three-body resonance from lattice QCD.
- * Demonstrated the feasibility of ab initio studies for complex hadronic systems.
Conclusions:
- * The study successfully calculated key properties of the a₁(1260) resonance using lattice QCD.
- * This work sets a precedent for future ab initio investigations of three-body hadronic systems.
- * The methods developed are applicable to ordinary, hybrid, and exotic hadrons involving three-body dynamics.
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