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$First-principles$ density functional theory computations of electronicstructure and local magnetic properties of the non-fluctuating ground state ofNi$_x$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 certainother parameters characterizing the Ni 3$d$ - Pd 4$d$ hybridization apparentlyfollow power-laws with $x$ similar to that obeyed by the reported ferromagneticto 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 neighbourhoodof $x_c$, and so indicate a possible scenario of the existence of a definiterelation between the orbital hybridization and the emergence of quantumfluctuations in the system.

3$d$ - 4$d$ hybridization anomaly in Ni$_x$Pd$_{1-x}$ alloys at quantum critical point