  The neutrinoless double beta ($0\nu\beta\beta$) decay is studied in the
framework of left-right symmetric model. The coexistence of left and right
handed currents induces rather complicated interactions in the mixing of lepton
and hadrons, called $<\lambda>$ mechanism and $<\eta>$ mechanism in addition to
the conventional effective neutrino mass $<m_\nu>$ mechanism. In this letter we
indicate the possible magnification of $<\eta>$ mechanism and importance to
survey $0\nu\beta\beta$ decay of different nuclei for specifying New Physics
beyond the Standard Model.
