Scalar and tensor mesons in $d\bar d$, $s\bar s$ and $gg\to f_0, f_2$

TL;DR

This paper analyzes LHCb and other data to study scalar and tensor mesons, providing insights into their structure and supporting the glueball interpretation of certain resonances.

Contribution

It performs a coupled-channel analysis combining multiple data sets to determine branching ratios and interpret meson structures, especially supporting the glueball hypothesis.

Findings

Branching ratios for $B_{(s)} ^0\to\jpsi f_0,f_2$ are determined.

Intensity peaks at 1865 MeV and 2210 MeV support glueball interpretation.

Little intensity observed above 1500 MeV in certain decays.

Abstract

LHCb data on $B^0\to\jpsi \pi^+\pi^-$, $B_{s} ^0\to\jpsi \pi^+\pi^-$ and $B_{s} ^0\to\jpsi K^+K^-$ are fitted in a coupled-channel analysis jointly with data on radiative $\jpsi$ decays, $\pi\pi$ elastic scattering and further data sets. Branching ratios for $B_{(s)} ^0\to\jpsi f_0,f_2$ are determined and compared to branching ratios from radiative $J/\psi$ decays. Above 1500\,MeV, only little intensity is observed in $B_{(s)} ^0\to\jpsi f_0,f_2$ decays while in radiative $\jpsi$ decays the intensities peak at 1865\,MeV in the scalar, and at 2210\,MeV in the tensor wave. This pattern is interpreted as further support for the glueball interpretation of $G_0(1865)$ and $G_2(2210)$.