Diabatic description of charmonium-like mesons

Abstract

We apply the diabatic formalism, first introduced in molecular physics, to the description of heavy-quark mesons. In this formalism the dynamics is completely described by a diabatic potential matrix whose elements can be derived from unquenched lattice QCD studies of string breaking. For energies far below the lowest open flavor meson-meson threshold, the resulting diabatic approach reduces to the well-known Born-Oppenheimer approximation where heavy-quark meson masses correspond to energy levels in an effective quark-antiquark potential. For energies close below or above that threshold, where the Born-Oppenheimer approximation fails, this approach provides a set of coupled Schrödinger equations incorporating meson-meson components nonperturbatively, i.e. beyond loop corrections. A spectral study of heavy mesons containing $c\overline{c}$ with masses below $4.1$ GeV is carried out within this framework. From it a unified description of conventional as well as unconventional resonances comes out.

18 pages, 8 figures, 6 tables

References in corpus (9)

• Multiquark Resonances
• Hadron Loops: General Theorems and Application to Charmonium
• String breaking by light and strange quarks in QCD
• The $\mathbf{S}-\mathbf{D}$ mixing and di-electron widths of higher charmonium $1^{--}$ states
• Bottomonium resonances with $I=0$ from lattice QCD correlation functions with static and light quarks
• Generalized screened potential model
• Charmonium description from a generalized screened potential model
• Radiative decays in charmonium beyond the p/m approximation
• Quark model description of $\psi (4260)$

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