Glueball-quarkonia content and decay of scalar-isoscalar mesons

Abstract

We investigate the hadronic two-body decay modes of the scalar-isoscalar f 0 (1370), f 0 (1500) and f 0 (1710) states as resulting from the mixture of the lowest lying scalar glueball with the isoscalar states of the ground state 3 P 0 QQ nonet. In the decay analysis we take into account the direct coupling of the quarkonia and glueball components of the f 0 states to the quarkonia components of the two-meson final state with the decay dynamics inspired by the strong coupling limit of QCD. We calculate partial decay widths for the f 0 states in the proposed three-state mixing schemes and discuss their compatibility with the observed decay features. Finally, we determine the glueball-quarkonia content of the f 0 states from a detailed fit to experimental decay data of f 0 (1500) and give predictions for the partial decay widths of f 0 (1370) and f 0 (1710), providing thus a sensitive test of the proposed mixing scheme.

ON THE MIXING OF THE SCALAR MESONS f0(1370), f0(1500) AND f0(1710)

“…Furthermore, in both cases, the results exhibit destructive interference between the states |N and |S for f 0 (1500) while constructive interference between the states |N and |S for f 0 (1710) and f 0 (1370), which is also consistent with the conclusion given by Ref. [8][9][10][11].…”

“…The convenient but not convincing recent tendency is to put aside the f 0 (400 − 1200) and f 0 (980), and focus on f 0 (1370), f 0 (1500) and f 0 (1710) [7], although the spin-parity of the f J (1710) J P C = 0 ++ or ( and ) 2 ++ is controversial. Recently, several authors have discussed the quarkonia-glueball content of the f 0 (1370), f 0 (1500) and f 0 (1710) by studying the mixing of the three states [8][9][10][11]. The different assumption about the mass level order of the bare states |G = |gg , |S = |ss and |N = |uū + dd / √ 2 leads to the different quantitative predictions about the glueball-quarkonia content of the three states.…”

Meson decay in a correctedP03model

“…(3), show that a common range of β values for mesons is obtained. In a new calculation with the inclusion of other decay processes it might require different β values [21]. The corrected model presents an interesting feature that for these two mesons the decay width differs slightly when compared with the 3 P 0 , but D/S ratios are improved.…”

Modelling glueballs

“…Refs. [24][25][26][27][28][29][30][31][32][33]. A very short summary of the historical development is the following: in the pioneering work of Amsler and Close [24], later on confirmed by Close and Kirk [25], the largest gluonic amount sits in f 0 (1500).…”