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Selection rules for hadronic transitions of XYZ mesons
Eric Braaten1, Christian Langmack1, D Hudson Smith1
1Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA.
Physical Review Letters
|June 21, 2014
Summary
This study identifies XYZ mesons as bound states within Born-Oppenheimer potentials. These findings help classify quarkonium hybrids and tetraquarks using lattice QCD calculations.
Area of Science:
- * Particle Physics
- * Quantum Chromodynamics
- * Nuclear Physics
Background:
- * Recent discoveries include numerous XYZ mesons, which are composite particles formed by heavy quarks and antiquarks.
- * These mesons can be understood as bound states within Born-Oppenheimer (BO) potentials, determined by the complex interactions of gluon and light-quark fields around static color sources.
- * The identified mesons encompass quarkonium hybrids and tetraquarks, differing in their constituent light-quark configurations and the specific BO potentials they inhabit.
Purpose of the Study:
- * To classify recently discovered XYZ mesons by identifying them as bound states within specific Born-Oppenheimer (BO) potentials.
- * To investigate the nature of quarkonium hybrids and tetraquarks by analyzing their relationship to flavor-singlet and flavor-full BO potentials, respectively.
- * To leverage lattice quantum chromodynamics (QCD) calculations to determine the properties of these potentials and their corresponding meson states.
Main Methods:
- * Utilizing Born-Oppenheimer potentials derived from the energy of gluon and light-quark fields in the presence of static color sources to model meson structures.
- * Employing lattice QCD calculations to determine the deepest hybrid potentials and infer the deepest tetraquark potentials from static adjoint mesons.
- * Deriving selection rules for hadronic transitions to establish criteria for identifying candidate XYZ mesons.
Main Results:
- * Established that many XYZ mesons are bound states within BO potentials, classifying them as either quarkonium hybrids or tetraquarks.
- * Identified the deepest hybrid potentials using lattice QCD and inferred tetraquark potentials from static adjoint meson calculations.
- * Derived hadronic transition selection rules to identify potential ground-state energy levels for charmonium hybrids and tetraquarks within the BO potentials.
Conclusions:
- * The study successfully classifies XYZ mesons as bound states within specific Born-Oppenheimer potentials.
- * Lattice QCD calculations provide crucial insights into the nature of hybrid and tetraquark potentials.
- * The derived selection rules offer a pathway to experimentally identify charmonium hybrids and tetraquarks as ground states.
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