Exotic bottomonium hadronic transitions

Abstract

We report on a recent computation of the transitions of exotic bottomonium to standard bottomonium and light quark hadrons. We work under the assumption that the ${\rm Y}(10753)$ and ${\rm Y}(11020)$ can be described as the lowest laying and first excitation $1^{--}$ hybrid bottomonium states, respectively. The computation has two distinct parts: the heavy quark transition matrix elements, which are obtained in a nonrelativistic EFT incorporating the heavy quark, multipole and adiabatic expansions; and the hadronization of the gluonic operators into the light-meson final states. The single mesons production is obtained through the axial anomaly and a standard ${\pi }^0-\eta -{\eta }^{\prime }$ mixing scheme. Two pion and kaon production is obtained by solving the coupled Omnès problem. We also present result for semi-inclusive transitions.

arXiv comment8 pages, 4 figures. Contribution to the proceedings of the conference "15th Quark Confinement and the Hadron Spectrum"

References in corpus (8)

• Potential NRQCD: an effective theory for heavy quarkonium
• Effective Field Theory for Ultrasoft Momenta in NRQCD and NRQED
• Fine Structure of the QCD String Spectrum
• Ab Initio Study of Hybrid b-bar-gb Mesons
• $\pi \pi \to K\bar{K}$ scattering up to 1.47 GeV with hyperbolic dispersion relations
• Isospin symmetry breaking through pi^0 - eta -eta' mixing
• Inductive microwave response of Yu-Shiba-Rusinov states
• Hyperasymptotic approximation to the plaquette and determination of the gluon condensate