  We extend our previous approach (Eur. Phys. J. B, \textbf{74}, 63(2010)) to
modeling correlated electronic states and the metal-insulator transition by
applying the so-called \emph{statistically consistent Gutzwiller approximation}
(SGA) to carry out self-consistent calculations of the renormalized
single-particle Wannier functions in the correlated state. The transition to
the Mott-Hubbard insulating state at temperature T=0 is of weak first order
even if antiferromagnetism is disregarded. The magnitude of the introduced
self-consistent magnetic correlation field is calculated and shown to lead to a
small magnetic moment in the magnetically uniform state. Realistic value of the
applied magnetic field has a minor influence on the metallic-state
characteristics near the Mott-Hubbard lcalization threshold. The whole analysis
has been carried out for an extended Hubbard model on a simple cubic (SC)
lattice and the evolution of physical properties is analyzed as a function of
the lattice parameter for the renormalized 1s-type Wannier functions. Quantum
critical scaling of the selected physical properties is analyzed as a function
of the lattice constant $R\rightarrow R_c=4.1 a_0$, where $R_c$ is the critical
value for metal-insulator transition and $a_0=0.53 \AA$ is the Bohr radius. A
critical pressure for metallization of solid atomic hydrogen is estimated and
is $\sim 10^2 GPa$.
