Tetraquark Interpretation and Production Mechanism of the Belle $Y_b (10750)$-Resonance

TL;DR

This paper interprets the newly observed $Y_b(10750)$ resonance as a tetraquark state with a mixed structure, analyzing its production mechanisms and decay signatures at the LHC, and providing a theoretical framework for its properties.

Contribution

It introduces a novel tetraquark interpretation of the $Y_b(10750)$ resonance, including a mixing model with $$bottomonium and calculations of production cross sections.

Findings

$Y_b(10750)$ is modeled as a mixed tetraquark and bottomonium state.

Predicted production cross sections at the LHC for $Y_b(10750)$.

Analysis of dipion mass spectrum and angular distributions in decays.

Abstract

Recently, the Belle Collaboration has updated the analysis of the cross sections for the processes $e^+ e^- \to \Upsilon(nS)\, \pi^+ \pi^-$ ($n = 1,\, 2,\, 3$) 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 $b \bar b$ 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 $b \bar b$ component and we work out the Drell-Yan and prompt production cross sections for $p p \to Y_b (10750) \to \Upsilon (nS)\, \pi^+ \pi^-$ at the LHC. The resonant part of the dipion invariant mass spectrum in $Y_b (10750) \to \Upsilon (1S)\, \pi^+ \pi^-$ and the corresponding angular distribution of $\pi^+$-meson in the dipion rest frame are presented.