Born-Oppenheimer approximation calculations for doubly heavy hadrons match Gaussian expansion benchmarks at small heavy quark masses but diverge at larger masses, with Slater-type functions overestimating and Gaussian-type underestimating binding energies.
The Hydrogen Bond of QCD
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abstract
Using the Born-Oppenheimer approximation, we show that exotic resonances, X and Z, may emerge as QCD molecular objects made of colored two-quark lumps, states with heavy-light diquarks spatially separated from antidiquarks. With the same method we confirm that doubly heavy tetraquarks are stable against strong decays. Tetraquarks described here provide a new picture of exotic hadrons, as formed by the QCD analog of the hydrogen bond of molecular physics.
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An auxiliary-field effective theory yields a lineshape parametrization for molecular X(3872) that consistently describes deuteron scattering data and differs from the Flatté form used for compact interpretations.
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Assessing the validity of the Born-Oppenheimer approximation in potential models for doubly heavy hadrons
Born-Oppenheimer approximation calculations for doubly heavy hadrons match Gaussian expansion benchmarks at small heavy quark masses but diverge at larger masses, with Slater-type functions overestimating and Gaussian-type underestimating binding energies.
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A New Look at the X Compositeness from its Lineshape
An auxiliary-field effective theory yields a lineshape parametrization for molecular X(3872) that consistently describes deuteron scattering data and differs from the Flatté form used for compact interpretations.