Mass uncertainties of f{sub 0}(600) and f{sub 0}(1370) and their effects on determination of the quark and glueball admixtures of the I=0 scalar mesons
- Department of Mathematics/Science, State University of New York Institute of Technology, Utica, New York 13504-3050 (United States)
Within a nonlinear chiral Lagrangian framework, the correlations between the quark and glueball admixtures of the isosinglet scalar mesons below 2 GeV and the current large uncertainties on the masses of f{sub 0}(600) and f{sub 0}(1370) are studied. The framework is formulated in terms of two scalar meson nonets (a two-quark nonet and a four-quark nonet) together with a scalar glueball. It is shown that, while some properties of these states are sensitive to the masses of f{sub 0}(600) and f{sub 0}(1370), several relatively robust conclusions can be made: f{sub 0}(600), f{sub 0}(980), and f{sub 0}(1370) are admixtures of two- and four-quark components, with f{sub 0}(600) being dominantly a nonstrange four-quark state, and f{sub 0}(980) and f{sub 0}(1370) having a dominant two-quark component. Similarly, f{sub 0}(1500) and f{sub 0}(1710) have considerable two- and four-quark admixtures, but in addition they have a large glueball component. For each state, a detailed analysis providing the numerical estimates of all components is given. It is also shown that this framework clearly favors the experimental values: m{sup expt}[f{sub 0}(600)]<700 MeV and m{sup expt}[f{sub 0}(1370)]=1300-1450 MeV. Moreover, an overall fit to the available data shows a reciprocal substructure for f{sub 0}(600) and f{sub 0}(1370), and a linear correlation between their masses of the form m[f{sub 0}(1370)]=0.29m[f{sub 0}(600)]+1.22 GeV. The scalar glueball mass of 1.5-1.7 GeV is found in this analysis.
- OSTI ID:
- 20871118
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 74, Issue 5; Other Information: DOI: 10.1103/PhysRevD.74.054030; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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