  $First-principles$ density functional theory computations of electronic
structure and local magnetic properties of the non-fluctuating ground state of
Ni$_x$Pd$_{1-x}$ alloy system around its quantum critical point $x_c = 0.026$
have been performed. The density of states at the Fermi energy and certain
other parameters characterizing the Ni 3$d$ - Pd 4$d$ hybridization apparently
follow power-laws with $x$ similar to that obeyed by the reported ferromagnetic
to paramagnetic transition temperature. The width of Pd $4d$ density of states
(DOS) and centroid of Ni 3$d$ DOS show peak-like anomalies in the neighbourhood
of $x_c$, and so indicate a possible scenario of the existence of a definite
relation between the orbital hybridization and the emergence of quantum
fluctuations in the system.
