Revisiting Scalar Glueballs · arXivDesk
1503.06827 Mar 23, 2015 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
Revisiting Scalar Glueballs Hai-Yang Cheng, Chun-Khiang Chua, Keh-Fei Liu
Abstract
It is commonly believed that the lowest-lying scalar glueball lies somewhere in the isosinglet scalar mesons f 0 ( 1370 ) , f 0 ( 1500 ) f_0(1370), f_0(1500) f 0 ( 1370 ) , f 0 ( 1500 ) and f 0 ( 1710 ) f_0(1710) f 0 ( 1710 )
denoted generically by
. In this work we consider lattice calculations and experimental data to infer the glue and
components of
. These include the calculations of the scalar glueball masses in quenched and unquenched lattice QCD, measurements of the radiative decays
J / ψ → γ f 0 J/ψ\toγf_{0} J / ψ → γ f 0 , the ratio of
decays to
and
, the ratio of
decays to
f 0 ( 1710 ) ω f_0(1710)ω f 0 ( 1710 ) ω and
f 0 ( 1710 ) φ f_0(1710)φ f 0 ( 1710 ) φ , the
contributions to
B s → J / ψ π + π − B_s\to J/ψπ^+π^- B s → J / ψ π + π − , and the near mass degeneracy of
a 0 ( 1450 ) a_0(1450) a 0 ( 1450 ) and
K 0 ∗ ( 1430 ) K_0^*(1430) K 0 ∗ ( 1430 ) . All analyses suggest the prominent glueball nature of
f 0 ( 1710 ) f_0(1710) f 0 ( 1710 ) and the flavor octet structure of
f 0 ( 1500 ) f_0(1500) f 0 ( 1500 ) .