Diabatic Representation of Exotic Hadrons in the Dynamical Diquark Model
| Autor: | Richard F. Lebed, Steven R. Martinez |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Physical Review |
| DOI: | 10.48550/arxiv.2207.01101 |
| Popis: | We apply the diabatic formalism, an extension of the adiabatic approximation inherent to the Born-Oppenheimer (BO) approach of atomic physics, to the problem of mixing between exotic multiquark hadrons and their nearby di-hadron thresholds. The unperturbed BO eigenstates are obtained using the dynamical diquark model, while the diabatic calculation introduces a mixing potential between these states and the threshold states. We solve the resulting coupled Schr\"{o}dinger equations numerically for hidden-charm tetraquarks of both open and closed strangeness to obtain physical mass eigenvalues, and explore the di-hadron state content and spatial extent of the eigenstates. As an explicit example, $X(3872)$ emerges with a dominant $D^0 \bar D^{*0}$ component, but also contains a considerable diquark-antidiquark component that can contribute significantly to its radiative decay widths, and this component also generates a full multiplet of other diquark-based exotic hadrons to be compared with experiment. Comment: 9 pages - Version accepted to Physical Review D |
| Databáze: | OpenAIRE |
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