English

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

High Energy Physics - Phenomenology 2015-05-28 v3 High Energy Physics - Experiment

Abstract

We have studied, using double ratio of QCD (spectral) sum rules, the ratio between the masses of TccT_{cc} and X(3872) assuming that they are respectively described by the DDD-{D}^* and DDˉD-\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 DDˉ+c.c.D\bar{D}^*+c.c. molecule, then the DDDD^* molecule should also exist with approximately the same mass. An extension of the analysis to the bb-quark case leads to the same conclusion. We also study the SU(3) breakings for the TQQs/TQQT^s_{QQ}/T_{QQ} mass ratios. Motivated by the recent Belle observation of two ZbZ_b states, we revise our determination of XbX_b by combining results from exponential and FESR sum rules.

Keywords

Cite

@article{arxiv.1105.5630,
  title  = {Relation between $T_{cc,bb}$ and $X_{c,b}$ from QCD},
  author = {J. M. Dias and S. Narison and F. S. Navarra and M. Nielsen and J. -M. Richard},
  journal= {arXiv preprint arXiv:1105.5630},
  year   = {2015}
}

Comments

revised version to appear on Phys. Lett. B

R2 v1 2026-06-21T18:13:49.183Z