Molecular structures in charmonium spectrum: The $XYZ$ puzzle

Abstract

We study in the framework of a constituent quark model the possible contributions of molecular structures to the XYZ charmonium like states. We analyze simultaneously the $c\bar{c}$ structures and the possible molecular components in a formalism which allows us to treat channels below and above thresholds. The only molecular state found in the $1^{++}$ sector correspond to the X(3872). Molecular resonances also appear with other quantum numbers. So, the so called Y(3940) and the X(3915) are suggested to be $J^{PC}=0^{++}$ charmonium states. In the $J^{PC}=1^{--}$ sector we also found significant contributions of the molecular structures which can affect the phenomenology.

10 pages, 9 tables

References in corpus (15)

• Heavy quarkonium: progress, puzzles, and opportunities
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• Estimate for the X(3872) to gamma J/psi decay width
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