For the D \bar D_1 and D* \bar D* molecular states, the computed magnetic moments are -1.41 and 3.85 nuclear magnetons, with negative quadrupole moments, both dominated by light-quark contributions.
Analysis of the $Y(4220)$ and $Y(4390)$ as molecular states with QCD sum rules
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abstract
In this article, we assign the $Y(4390)$ and $Y(4220)$ to be the vector molecular states $D\bar{D}_1(2420)$ and $D^*\bar{D}_0^*(2400)$, respectively, and study their masses and pole residues with the QCD sum rules in details. The present calculations only favor assigning the $Y(4390)$ to be the $D\bar{D}_1(1^{--})$ molecular state.
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$D \bar D_1(2420)$ and $D^* \bar D^*(2400)$ molecular states: Probing their electromagnetic fingerprints
For the D \bar D_1 and D* \bar D* molecular states, the computed magnetic moments are -1.41 and 3.85 nuclear magnetons, with negative quadrupole moments, both dominated by light-quark contributions.