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We have estimated the limiting branching ratio of the R-parity violating(RPV) decay of the lighter top squark, $\tilde t_1 \ar l^+ d$ ($l=e$ or $\mu $and d is a down type quark of any flavor), as a function of top squarkmass($\MST$) for an observable signal in the di-lepton plus di-jet channel atthe Tevatron RUN-II experiment with 2 fb$^{-1}$ luminosity. Our simulationsindicate that the lepton number violating nature of the underlying decaydynamics can be confirmed via the reconstruction of $\MST$. The above decay isinteresting in the context of RPV models of neutrino mass where the RPVcouplings ($\lambda'_{i3j}$) driving the above decay are constrained to besmall ($\lsim 10^{-3} - 10^{-4} $). If $\tilde t_1$ is the next lightest superparticle - a theoretically well motivated scenario - then the RPV decay cannaturally compete with the R-parity conserving (RPC) modes which also havesuppressed widths. The model independent limiting BR can delineate theparameter space in specific supersymmetric models, where the dominating RPVdecay is observable and predict the minimum magnitude of the RPV coupling thatwill be sensitive to Run-II data. We have found it to be in the same ballparkvalue required by models of neutrino mass, for a wide range of $\MST$. Acomprehensive future strategy for linking top squark decays with models ofneutrino mass is sketched.Comment: 28 pages, 14 Figure

ProbingR-parity violating models of neutrino mass at the Fermilab Tevatron via top squark decays