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

Abstract

LHCb data on $B^0\to \text{jpsi}{\pi }^{+}{\pi }^{-}$, $B_s^0\to \text{jpsi}{\pi }^{+}{\pi }^{-}$ and $B_s^0\to \text{jpsi}{K}^{+}{K}^{-}$ are fitted in a coupled-channel analysis jointly with data on radiative $\text{jpsi}$ decays, $\pi \pi$ elastic scattering and further data sets. Branching ratios for $B_{(s)}^0\to \text{jpsi}{f}_0,f_2$ are determined and compared to branching ratios from radiative $J/\psi$ decays. Above 1500\,MeV, only little intensity is observed in $B_{(s)}^0\to \text{jpsi}{f}_0,f_2$ decays while in radiative $\text{jpsi}$ 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 $G_2(2210)$.

Comments: 6 pages, 5 figures, 3 tables, revised