The $ξ(2220)$ Revistited

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Revised version to be published in Phys. Rev. D. Minor changes. Latex file uses revtex version 3 and epsfig, 3 postcript figur

Scientific paper

10.1103/PhysRevD.53.3700

We calculated the decay widths of the $1^3F_2$ and $1^3F_4$ $s\bar{s}$ mesons and compared them to the measured properties of the $\xi(2220)$ (now known as the $f_4(2220)$). Including previously neglected decay modes we found that the width of the $^3F_2$ state $s\bar{s}$ meson is much larger than previously believed making this explanation unlikely. On the other hand the predicted width of the $^3F_4$ state, although broader than the observed width, is consistent within the uncertainties of the model. This interpretation predicts large partial widths to $K K^*(892)$ and $K^*(892) K^*(892)$ final states which should be looked for. A second possibility that would account for the different properties of the $\xi(2220)$ seen in different experiments is that two hadronic states exist at this mass. The first would be a broader $^3F_4$ $s\bar{s}$ state which is seen in hadron beam experiments while the second would be a narrow state with high glue content seen in the gluon rich $J/\psi$ radiative decay. Further experimental results are needed to sort this out.

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