  The inelastic neutral reaction of neutrino on 4He is calculated
microscopically, including full final state interaction among the four
nucleons. The calculation is performed using the Lorentz integral transform
(LIT) method and the hyperspherical-harmonic effective interaction approach
(EIHH), with a realistic nucleon-nucleon interaction. A detailed energy
dependent calculation is given in the impulse approximation. With respect to
previous calculations, this work predicts an increased reaction cross-section
by 10%-30% for neutrino temperature up to 15 MeV.
