Abstract
In this paper we present in greater detail previous work on the Born-Oppenheimer approximation to treat the hydrogen bond of QCD, and add a similar treatment of doubly heavy baryons. Doubly heavy exotic resonances X and Z can be described as color molecules of two-quark lumps, the analogue of the H_2 molecule, and doubly heavy baryons as the analog of the H_2^+ ion, except that the two heavy quarks attract each other. We compare our results with constituent quark model and lattice QCD calculations and find further evidence in support of this upgraded picture of compact tetraquarks and baryons.
Highlights
Systems with heavy and light particles allow for an approximate treatment where the light and heavy degrees of freedom are studied separately and solved one after the other
In this paper we present in greater detail previous work on the Born-Oppenheimer approximation to treat the hydrogen bond of QCD, and add a similar treatment of doubly heavy baryons
We consider doubly heavy systems with open or hidden heavy flavor, and discuss the application of the Born-Oppenheimer approximation (BO) approximation along the lines used for the treatment of the hydrogen molecule
Summary
Systems with heavy and light particles allow for an approximate treatment where the light and heavy degrees of freedom are studied separately and solved one after the other. This is the Born-Oppenheimer approximation (BO), introduced in nonrelativistic quantum mechanics for molecules and crystals, where electrons coexist with the much heavier nuclei.
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