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In an R-parity violating supersymmetric scenario, the lightest neutralino$\tilde \chi^0_1$ is no longer a stable particle. We calculate the branchingratio for the decay mode $\tilde \chi^0_1 \longrightarrow \nu \gamma$ whichoccurs at the one-loop level. Taking into account bilinear as well as trilinearlepton number violating interactions as the sources of R-parity violation, wemake a detailed scan of the parameter space, both with and without gaugino massunification and including the constraints on the neutrino sector from therecent Superkamiokande results. This study enables one to suggest interestingexperimental signals distinguishing between the two types of R-parity breaking,and also to ascertain whether such radiative decays can give rise to collidersignals of the type $\gamma \gamma$ + $\not {\rm E}$ from pair-producedneutralinos.Comment: 25 pages, LaTex including postscript figures. Uses axodraw.sty. Minor  typographic errors correcte

Radiative decay of the lightest neutralino in anR-parity violating supersymmetric theory