  The scalar sector of the 3-3-1 model with axion like particle is studied in
detail. In the model under consideration, there are two kinds of scalar fields:
the bilepton scalars carrying lepton number two and the ordinary ones without
lepton number. We show that there is no mixing among these two kinds of scalar
fields. We analyze in detail the CP-odd scalar sector of the model to find the
physical fields of the axion like particle and a pseudoscalar with mass in the
range 100 GeV to 1 TeV. The results are different from others which have been
published before. The CP-even scalar sector of the model is analyzed as well.
The results of our analysis of the scalar sector allow us to accommodate scalar
masses in the $100$ GeV-$1$ TeV region. Furthermore we analyze the implications
of the model in several flavor changing neutral decays of the top quark as well
as in rare top quark decays. Besides that, the leptonic decays of the SM like
Higgs boson as well as the meson oscillations are also analyzed. Our numerical
analysis show that the model under consideration is consistent with the
experimental constraints imposed by these processes.
