Relation between $T_{cc,bb}$ and $X_{c,b}$ from QCD

Details Relation between $T_{cc,bb}$ and $X_{c,b}$ from QCD Relation between $T_{cc,bb}$ and $X_{c,b}$ from QCD

2011-05-27

arxiv.org/abs/1105.5630v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

revised version to appear on Phys. Lett. B

Scientific paper

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. Motivated by the recent Belle observation of two $Z_b$ states, we revise our determination of $X_b$ by combining results from exponential and FESR sum rules.

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