English

QCD sum rules study of the meson Z^+(4430)

High Energy Physics - Phenomenology 2008-11-26 v2

Abstract

We use QCD sum rules to study the recently observed meson Z+(4430)Z^+(4430), considered as a DD1D^*D_1 molecule with JP=0J^{P}=0^{-}. We consider the contributions of condensates up to dimension eight and work at leading order in αs\alpha_s. We get mZ=(4.40±0.10)\GeVm_Z=(4.40\pm0.10) \GeV in a very good agreement with the experimental value. We also make predictions for the analogous mesons ZsZ_{s} and ZbbZ_{bb} considered as DsD1D_s^*D_1 and BB1B^*B_1 molecules respectively. For ZsZ_{s} we predict mZs=(4.70±0.06)GeVm_{Z_{s}}= (4.70\pm 0.06) {\rm GeV}, which is above the DsD1D_s^*D_1 threshold, indicating that it is probably a very broad state and, therefore, difficult to be experimentally seen. For ZbbZ_{bb} we predict mZbb=(10.74±0.12)GeVm_{Z_{bb}}= (10.74\pm 0.12) {\rm GeV}, in agreement with quark model predictions.

Keywords

Cite

@article{arxiv.0710.1029,
  title  = {QCD sum rules study of the meson Z^+(4430)},
  author = {Su Houng Lee and Antonio Mihara and Fernando S. Navarra and Marina Nielsen},
  journal= {arXiv preprint arXiv:0710.1029},
  year   = {2008}
}

Comments

2 new figures included. version accepted for publication in Phys. Lett. B

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