Sneutrino-antisneutrino oscillation at the Tevatron

Sneutrino-antisneutrino oscillation can be a very useful probe to look for signatures of lepton number violation ($\Delta L=2$) at the Tevatron. Here, we discuss a scenario where the total decay width of the sneutrino is very small, producing interesting signals at the Tevatron for a mass splitting $\Delta m$ as small as $10^{-14}$ GeV between the sneutrino mass eigenstates.