Revisiting Scalar Glueballs

Abstract

It is commonly believed that the lowest-lying scalar glueball lies somewhere in the isosinglet scalar mesons $f_0(1370), f_0(1500)$ and $f_0(1710)$ denoted generically by $f_{0}$. In this work we consider lattice calculations and experimental data to infer the glue and $q\bar q$ components of $f_0$. These include the calculations of the scalar glueball masses in quenched and unquenched lattice QCD, measurements of the radiative decays $J/ψ\toγf_{0}$, the ratio of $f_{0}$ decays to $ππ$ and $K\bar K$, the ratio of $J/ψ$ decays to $f_0(1710)ω$ and $f_0(1710)ϕ$, the $f_0$ contributions to $B_s\to J/ψπ^+π^-$, and the near mass degeneracy of $a_0(1450)$ and $K_0^*(1430)$. All analyses suggest the prominent glueball nature of $f_0(1710)$ and the flavor octet structure of $f_0(1500)$.

21 pages, comments on the f0(1370) meson were made, uncertainties in the glueball-quarkonium mixing matrix elements included, discussions on the ηηmodes and many new references added. Version to appear in PRD