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Physics Letters B 703 (2011) 274-280
Relation between $T_{cc}$ and X(3872) from QCD
J. M. Dias, S. Narison1, F. S. Navarra, M. Nielsen, J.-M. Richard2

We have studied, using double ratio of QCD (spectral) sum rules, the ratio between the masses of $T_{cc}$ and X(3872) assuming that they are respectively described by the $D-{D}^*$ and $D-\bar{D}^*$ molecular currents. We found (within our approximation) that the masses of these two states are almost degenerate. Since the pion exchange interaction between these mesons is exactly the same, we conclude that if the observed X(3872) meson is a $D\bar{D}^*+c.c.$ molecule, then the $DD^*$ molecule should also exist with approximately the same mass. An extension of the analysis to the $b$-quark case leads to the same conclusion. We also study the SU(3) breakings for the $T^s_{QQ}/T_{QQ}$ mass ratios.
1:  LPTA - Laboratoire de Physique Théorique et Astroparticules
2:  IPNL - Institut de Physique Nucléaire de Lyon
Physics/High Energy Physics - Experiment

Physics/High Energy Physics - Phenomenology
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