Limits on R-parity non-conservation in MSSM with gauge mediated supersymmetry breaking from the neutrinoless double beta decay

The R-parity non-conservation phenomenology within the minimal supersymmetric standard model with gauge mediated supersymmetry breaking has been studied. New constraints on the lepton number violating constant ${\lambda }_{111}^{\mathrm{\prime }}$ were imposed by non-observability of the neutrinoless double beta decay. We find that ${\lambda }_{111}^{\mathrm{\prime }}$ depends strongly on the effective supersymmetry breaking scale $\mathrm{\Lambda }$ only and deduce limits which are much stronger than those previously found in literature.