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

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 $G_2(2210)$.