  An ab-initio calculation of the inelastic neutral reaction of neutrino on 4He
is presented, including realistic nuclear force and full final state
interaction among the four nucleons. The calculation uses the powerful
combintation of the Lorentz integral transform (LIT) method and the
hyperspherical-harmonic effective interaction approach (EIHH). The neutrino -
nucleus interaction is taken in the impulse approximation. With respect to
previous calculations, the current work predicts an increased reaction
cross-section by 10%-30% for neutrino temperature up to 15 MeV.
