Light Gluino Mass and Condensate from Properties of $\eta$ and ${\eta }^{\prime }$

Abstract

We investigate whether known properties of the ${\eta }^{\prime }$ meson are consistent with its being the Goldstone boson of the spontaneously broken anomaly-free R symmetry required in the light gluino scenario. We fit the masses and $2\gamma$ decays of the $\eta$ and ${\eta }^{\prime }$ mesons, and also their production in radiative $J/\psi$ decays. We find that the $\eta -{\eta }^{\prime }$ system is well-described in the light gluino scenario, if $m_{\lambda }\simeq (84-144)MeV$ and $<\bar{\lambda }\lambda >\simeq -(0.15-0.36)Ge{V}^3$. These values are in the range expected when the gluino gets its mass entirely from radiative corrections.

Comments: 14 pages, LATEX file, 1 PS fig. Some discussions are added, to be published in Phys. Lett. B