Relation between Tcc,bb and Xc,b from QCD

We have studied, using double ratio of QCD (spectral) sum rules, the ratio between the masses of Tcc and X(3872) assuming that they are respectively described by the D−D⁎ and D−D¯⁎ molecular currents. We found (within our approximation) that the masses of these two states are almost degenerate. Sinc...

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Veröffentlicht in:Physics letters. B 2011-09, Vol.703 (3), p.274-280
Hauptverfasser: Dias, J.M., Narison, S., Navarra, F.S., Nielsen, M., Richard, J.-M.
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Sprache:eng
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Zusammenfassung:We have studied, using double ratio of QCD (spectral) sum rules, the ratio between the masses of Tcc and X(3872) assuming that they are respectively described by the D−D⁎ and D−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 DD¯⁎+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 TQQs/TQQ mass ratios. Motivated by the recent Belle observation of two Zb states, we revise our determination of Xb by combining results from exponential and FESR sum rules.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2011.07.082