  Heavy baryon chiral perturbation theory ($\chi$PT), where the $\Delta$
resonance is included, is used in order to examine the axial charged-current
component of the weak interaction process at low neutrino energies. At leading
chiral order the Adler theorems, derived using PCAC, are satisfied. At
next-to-leading chiral order this effective field theory goes beyond these
theorems. I will show that $\chi$PT generates deviation from the PCAC
predictions, which means that some neutrino-nucleon models that are used in
evaluating neutrino nucleus scattering amplitudes, might need modifications.
