We estimate in this work the contribution of the nucleon weak magnetism on the neutrino absorption mean free path inside high density nuclear matter. Our main contribution to this subject involves basically, in the mean field approach, three different ingredients: (a) a relativistic generalization of the approach developed by Sanjay and collaborators; (b) the inclusion of the nucleon weak-magnetism; (c) the inclusion of the pseudo-scalar interaction involving the nucleons. Our preliminary results indicate the consistency of our approach. The novel results we have obtained, considering similar physical conditions as the ones assumed by Sanjay and collaborators, is that the neutrino absorption mean free path is three times the corresponding result obtained by those authors.
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