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29 March 2024
 
  » arxiv » 2012.07761

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Tetraquark Interpretation and Production Mechanism of the Belle $Y_b (10750)$-Resonance
Ahmed Ali ; Luciano Maiani ; Alexander Parkhomenko ; Wei Wang ;
Date 14 Dec 2020
AbstractRecently, the Belle Collaboration has updated the analysis of the cross sections for the processes $e^+ e^- o Upsilon(nS), pi^+ pi^-$ ($n = 1,, 2,, 3$) in the $e^+ e^-$ center-of-mass energy range from 10.52 to 11.02~GeV. A new structure, called $Y_b (10750)$, 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. We interpret $Y_b (10750)$ as a compact $J^{PC} = 1^{--}$ state with a dominant tetraquark component. The mass eigenstate $Y_b (10750)$ is treated as a linear combination of the diquark-antidiquark and $b ar b$ components due to the mixing via gluonic exchanges shown recently to arise in the limit of large number of quark colors. The mixing angle between $Y_b$ and $Upsilon(5S)$ can be estimated from the electronic width, recently determined to be $Gamma_{ee} (Y_b) = (13.7 pm 1.8)$~eV. The mixing provides a plausible mechanism for $Y_b (10750)$ production in high energy collisions from its $b ar b$ component and we work out the Drell-Yan and prompt production cross sections for $p p o Y_b (10750) o Upsilon (nS), pi^+ pi^-$ at the LHC. The resonant part of the dipion invariant mass spectrum in $Y_b (10750) o Upsilon (1S), pi^+ pi^-$ and the corresponding angular distribution of $pi^+$-meson in the dipion rest frame are presented.
Source arXiv, 2012.07761
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