  We reanalyse the LSND neutrino oscillation results in the framework of the
Projected Quasiparticle Random Phase Approximation (PQRPA), which is the only
RPA model that treats the Pauli Principle correctly, and accounts
satisfactorily for great majority of the weak decay observables around 12C. We
have found that the employment of the PQRPA inclusive DIF 12C(nu_e,e-)12N
cross-section, instead of the CRPA used by the LSND collaboration in the (nu_mu
->nu_e) oscillations study of the 1993-1995 data sample, leads to the
following: 1) the oscillation probability is increased from (0.26 +/- 0.10 +/-
0.05) percents to (0.33 +/- 0.10 +/- 0.13) percents, and 2) the previously
found consistence between the (sin^2 2theta, Delta m^2) confidence level
regions for the (nu_mu -> nu_e) and the (bar{nu}_mu -> bar{nu}_e) oscillations
is significantly diminished. These effects are not due to the difference in the
uncertainty ranges for the neutrino-nucleus cross-section, but to the
difference in the cross-sections themselves.
