Light Gluino Mass and Condensate from Properties of $η$ and $η'$

Abstract

We investigate whether known properties of the $η'$ 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 $2γ$ decays of the $η$ and $η'$ mesons, and also their production in radiative $J/ψ$ decays. We find that the $η-η'$ system is well-described in the light gluino scenario, if $m_λ\simeq (84-144) MeV$ and $<{\barλ}λ> \simeq -(0.15-0.36) GeV^3$. These values are in the range expected when the gluino gets its mass entirely from radiative corrections.

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