  A dynamical model is applied to the study of the pion valence light-front
wave function, obtained from the actual solution of the Bethe-Salpeter equation
in Minkowski space, resorting to the Nakanishi integral representation. The
kernel is simplified to a ladder approximation containing constituent quarks,
an effective massive gluon exchange, and the scale of the extended quark-gluon
interaction vertex. These three input parameters carry the infrared scale
{\Lambda}QCD and are fine-tuned to reproduce the pion weak decay constant,
within a range suggested by lattice calculations. Besides f{\pi}, we present
and discuss other interesting quantities on the null-plane, like: (i) the
valence probability, (ii) the dynamical functions depending upon the
longitudinal or the transverse components of the light-front (LF) momentum,
represented by LF-momentum distributions and distribution amplitudes, and (iii)
the probability densities both in the LF-momentum space and the 3D space given
by the Cartesian product of the covariant Ioffe-time and transverse
coordinates, in order to perform an analysis of the dynamical features in a
complementary way. The proposed analysis of the Minkowskian dynamics inside the
pion, though carried out at the initial stage, qualifies the Nakanishi integral
representation as an appealing effective tool, with still unexplored
potentialities to be exploited for addressing correlations between dynamics and
observable properties.
