Erratum: QCD sum rules study of the $J^{PC}=1^{--}$ charmonium $Y$ mesons

TL;DR

This paper corrects an analytical mistake in previous QCD sum rules calculations for certain charmonium states, leading to revised mass estimates that no longer match the experimental Y(4260) meson.

Contribution

It provides a corrected analytical expression for molecular currents in QCD sum rules, updating previous mass predictions for the Y(4260) related states.

Findings

Corrected the analytical expression for molecular currents.

Revised mass estimate for D0D* molecular current: 4.96 GeV.

Mass no longer matches the experimental Y(4260) meson.

Abstract

We correct a mistake in the analytical expression given in Nucl. Phys. {\bf A} 815, 53 (2009) [arXiv:0804.4817] for the $D_{s0}\bar{D}_s^*$ and $D_{0}\bar{D}^*$ molecular currents. As a consequence, the mass obtained for the $D_{0}\bar{D}^*$ molecular current: $m_{D_{0}\bar{D}^*}=(4.96\pm 0.11)$ GeV is no longer compatible with the experimental mass of the meson Y(4260).