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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 | Abstract: | Recently, 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 | Services: | Forum | Review | PDF | Favorites |
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