We show that the process e+e−→γ+ missing energy, arising from
the pair production of neutralinos, can probe the \gamma-\tilde\gamma-
\gravitino as well as the Z-\tilde Z-\gravitino couplings in Gauge Mediated
Supersymmetry Breaking models. This enables one to study the mutual
relationship of the Goldstino couplings of the different gauginos, a feature
whose testability has not been emphasized so far. The Standard Model
backgrounds get suppresed with the use of a right polarized electron beam. The
energy and angular distribution of the emitted photon can distinguish such
models from the minimal supersymmetric theory and its variants.Comment: Revised version to be published in Physics Letters B. Some minor
changes were mad