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arXiv · hep-ph/9702339

Scalar glueball: analysis of the (IJ^{PC}=00^{++})-wave

A. V. Anisovich·V. V. Anisovich·A. V. Sarantsev
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Abstract

Basing on the previously performed K-matrix analysis of experimental data, we investigate, in the framework of the propagator matrix (D-matrix) technique, the 1100-1900 MeV mass region, where overlapping resonances $f_0(1300)$, $f_0(1500)$, $f_0(1530^{+90}_{-250})$, and $f_0(1780)$ are located. Necessary elements of the D-matrix technique are developed. The D-matrix analysis confirms previous K-matrix results: in the region 900-1900 MeV five scalar/isoscalar states are located. Four of them are members of the two $q\bar q$-nonets, while one state is an extra for the $q\bar q$ systematics, being a good candidate for the lightest scalar glueball. The D-matrix analysis shows that this extra state, a candidate for the lightest scalar glueball, is dispersed, due to a mixing with $q\bar q$- states, over three resonances: $f_0(1300)$, $f_0(1500)$, and $f_0(1530^{+90}_{-250})$. The broad resonance $f_0(1530^+{90}_{-250})$ is a descendant of the lightest glueball carrying about 50% of the gluonium component, the rest of the gluonium is shared between $f_0(1300)$ and $f_0(1500)$.

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A. V. Anisovich, V. V. Anisovich, A. V. Sarantsev. 1997-02-14. Scalar glueball: analysis of the (IJ^{PC}=00^{++})-wave. https://doi.org/10.1007/s002180050385

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