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29 March 2024
 
  » arxiv » 1910.7671

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Interpretation of $Y_b (10753)$ as a tetraquark and its production mechanism
Ahmed Ali ; Luciano Maiani ; Alexander Ya. Parkhomenko ; Wei Wang ;
Date 17 Oct 2019
AbstractRecently, the Belle Collaboration has updated the analysis of the cross sections for the processes $e^+ e^- o Upsilon(nS), pi^+ pi^-$; $nS = 1S,, 2S,, 3S$ in the $e^+ e^-$ center-of-mass energy range from 10.52 to 11.02 GeV, taken at the KEKB asymmetric $e^+ e^-$-collider. A new structure, called here $Y_b (10753)$, with the mass $M (Y_b) = (10752.7 pm 5.9^{+0.7}_{-1.1})$ MeV and the Breit-Wigner width $Gamma (Y_b) = (35.5^{+17.6 +3.9}_{-11.3 -3.3})$ MeV was observed cite{Abdesselam:2019gth}. We interpret $Y_b (10753)$ as a compact $J^{PC} = 1^{--}$ state with a dominant tetraquark component. The mass eigenstate $Y_b (10753)$ in our approach is a linear combination of the diquark-antidiquark and $b ar b$ components due to the mixing via gluonic exchanges in the ’t Hooft diagrams, shown recently to arise in the large-$N_c$ limit. The mixing angle $Y_b - Upsilon(5S)$ can be estimated from $Gamma_{ee} (Y_b)$, for which only a 90\% C.L. upper limit is known currently. The resonant part of the dipion invariant mass spectrum in $Y_b (10753) o Upsilon (1S), pi^+ pi^-$ and the corresponding angular distribution of $pi^+$ in the dipion rest frame are presented. The mixing provides a plausible mechanism for $Y_b (10753)$ production in high energy collisions from the $b ar b$ component in its Fock space. Using this framework, we work out the Drell-Yan and prompt production cross sections for $p p o Y_b (10753) o Upsilon (nS), pi^+ pi^-$ at the LHC.
Source arXiv, 1910.7671
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