  From the data release of OPERA - CNGS experiment, and publicly announced on
23 September 2011, we cast a phenomenological model based on a Majorana
neutrino state carrying a fictitious imaginary mass term, already discussed by
Majorana in 1932. This mass term can be induced by the interaction with the
matter of the Earth's crust during the 735 Km travel. Within the experimental
errors, we prove that the model fits with OPERA, MINOS and supernova SN1987a
data. Possible violations to Lorentz invariance due to quantum gravity effects
have been considered.
