Option of light righthanded neutrinos avoiding oscillations

A new explicit model of neutrino texture is presented, where in the overall 6 x 6 mass matrix the lefthanded and righthanded Majorana 3 x 3 components are diagonal with equal entries of opposite sign, while the Dirac 3 x 3 component is given as a diagonal hierarchical structure (possibly similar to the charged lepton and quark 3 x 3 mass matrices) deformed by the popular nearly bimaximal 3 x 3 mixing matrix. Then, all neutrino masses are light and $ m_1 = -m_4 $, $m_2 = -m_5 $, $m_3 = -m_6 $. The resulting neutrino oscillation formulae are {\it identical} with those working in the effective texture of three active neutrinos, based on this nearly bimaximal mixing matrix. Three (conventional) sterile neutrinos {\it do not oscillate} and so, are strictly {\it decoupled}. The suggested LSND effect {\it vanishes}. The not observed Chooz oscillation effect is consistently negligible