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Hidden-bottom decays of in intermediate meson loops model. Gang Li Department of Physics, Qufu Normal University Ref: G. Li, F.-L. Shao, C.-W. Zhao and Q. Zhao, Phys. Rev. D87, 034029 (2013). HNP2013, ZhangJiaJie, 18-22 July 2013. Outline. Motivation Model and numerical results
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Hidden-bottom decays of in intermediate meson loops model Gang Li Department of Physics, Qufu Normal University Ref: G. Li, F.-L. Shao, C.-W. Zhao and Q. Zhao, Phys. Rev. D87, 034029 (2013). HNP2013, ZhangJiaJie, 18-22 July 2013
Outline Motivation Model and numerical results Summary
Motivation Belle Collaboration PRL 108, 122001 Zb(10610) Zb(10650)
Measured parameters of Zb(10610) and Zb(10650) in different decay channels [1]. Charged bottomoniumlike structures with four quarks as minimal constituents Very close to the BB* and B*B* thresholds. [1]. I. Adachi (Belle Collaboration), arXiv:1105.4583. [2]. A. Bondar et al. (Belle Collaboration), Phys. Rev. Lett. 108, 122001.
Explanations on Zb(10610) and Zb(10650) ◆Molecular states N. Li et al. 1211.5007 Z.-W. Liu et al. 1211.3578 A.E. Bondat et al. Phys. Rev. D84, 054010 (2011) J.-R. Zhang et. al. Phys.Lett.B704, 312 (2011) Z.-F. Sun, et al. Phys. Rev. D84, 054002 (2011) …… ◆Tetraquark T. Guo et al. 1106.2284 C.-Y. Cui et al. Phys. Rev. D85, 074014 (2011) ◆Cusp effect of BB* and B*B* Bugg, Europhys. Lett.96:11002, 2011
Production and decays of Zb(10610) and Zb(10650) Production: M. B. Voloshin, Phys. Rev. D 84, 031502 (2011). Decays: X. Li and M. B. Voloshin, Phys. Rev. D 86, 077502 (2012). Y. Dong, A. Faessler, T. Gutsche, and V. E. Lyubovitskij, J. Phys. G 40, 015002 (2013). M. Cleven, F.-K. Guo, C. Hanhart, and U.-G. Meissner, Eur. Phys. J. A 47, 120 (2011). M. Cleven, Q. Wang, F.-K. Guo, C. Hanhart, U.-G. Meissner and Q. Zhao, Phys. Rev. D 87, 074006 (2013).
Decay rates of are comparable to those of Hidden bottomonium decays of Zb(10610) and Zb(10650)
Model Quark-level descriptions of hadronic loop mechanism b b b
Decomposition of intermediate meson loop transitions + + ······
Introduce tri-monopole form factors to kill the divergence and also compensate the off-shell effects of intermediate mesons
Effective Lagrangians R.Casalbuoni et al., Phys. Rep. 281, 145 (1997). P.Colagelo et al., Phys. Rev. D69, 054023 (2004).
Coupling constants R. Casalbuoni et al., Phys. Rep.281, 145(1997). H. Y. Cheng et al., Phys.Rev. D71, 014030(2005). D.Becirevic, et al., Phys.Lett.B679,231(2009).
Numerical Results Branching ratios for the Zb and Zb’ decays We determine the cutoff parameter for each channel separately by the experimental data and find it is possible to find an appropriate range of alpha values for each decay channels that can account for the data via the intermediate bottomed meson loops. We make an average of the values for the Zb and Zb’ decays separately without including channel and find it is possible to describe the experimental data with single alpha values for Zb and Zb’, respectively.
The relatively stable dependence of the branching ratios indicates a reasonable cutoff of the ultraviolet contributions by the empirical form factor. The enhanced branching ratios for suggests that more stringent dynamic constraints are presumably needed to describe the near-threshold phenomena where the local quark-hadron duality has been apparently violated
The first coupling vertices are the same when taking the ratio, the stability of the ratios suggests that the transitions of are largely driven by the open threshold effects via the intermediate B-meson loops.
Local quark-hadron duality restoring partially The partial restoration of the local quark-hadron duality will significantly lower the partial widths since there will be only one physical pole in the loop and the unphysical one can be easily isolated away from the physical one. As a result, the interferences caused by the closeness of the unphysical pole will be reduced. Direct demonstration of the sensitivity of the meson loop behaviors when close to open threshold and when the dispersive part becomes dominant.
Summary • 1. The present experimental data can be reproduced with a commonly accepted range of cutoof values except for . • The alpha dependence of the branching ratios are relatively stable, • which indicate the dominant mechanism driven by the intermediate • meson loops with a fairly well control of the ultraviolet contributions. • 3. The results become sensitive to the meson loop contributions when • the final state mass threshold are close to the intermediate meson • thresholds.