LSP Mass Limit with a single dominant $LL\bar{E}, LQ\bar{D}$, or $\bar{U}\bar{D}\bar{D}$ R-Parity Violating Coupling in $e^+e^-$ collisions at centre-of-mass energies between $\sqrt{s} = 189-208GeV

A limit is set on the LSP mass under the assumption that R-parity is violated via a single dominant LL\bar{E}, LQ\bar{D} or \bar{U}\bar{D}\bar{D} coupling. The limit is valid over the whole parameter space of the MSSM. Data collected by the ALEPH detector at LEP with centre-of-mass energies from 189~GeV/c^{2} to 208~GeV/c^{2} are used. Searches for direct or indirect decays of pair produced neutralinos and charginos are used to constrain the MSSM parameter space. Constraints from the \Gamma_{Z} measurement, slepton, squark and Higgs searches are also used to exclude parameter space.The lower mass limits at 95\% confidence on the LSP are 60.2~GeV/c^{2}, $44.2~GeV/c^{2} and $42.2~GeV/c^{2} for LL\bar{E}, LQ\bar{D} and \bar{U}\bar{D}\bar{D} coupling respectively. The limits are vaild for all values of \mu, tan\beta, m_0 and m_2