  The vector type of interaction of the Thirring-Wess model was replaced by the
chiral type and a new model was presented which was termed as chiral
Thirring-Wess model in \cite{THAR}. The model was studied there with a
Faddeevian class of regularization. Few ambiguity parameters were allowed there
with the apprehension that unitarity might be threatened like the chiral
generation of the Schwinger model. In the present work it has been shown that
no counter term containing the regularization ambiguity is needed for this
model to be physically sensible. So the chiral Thirring-Wess model is studied
here without the presence of any ambiguity parameter and it has been found that
the model not only remains exactly solvable but also does not lose the
unitarity like the chiral generation of the Schwinger model. The phase space
structure and the theoretical spectrum of this new model have been determined
in the present scenario. The theoretical spectrum is found to contain a massive
boson with ambiguity free mass and a massless boson.
