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We refer to our recent calculations (Eur. Phys. J. B, \textbf{86}, 252(2013)) of metallization pressure of the three-dimensional simple-cubic crystalof atomic hydrogen and study the effect on the crucial results concocting fromapproximating the $1s$ Slater-type orbital function with a series of $p$Gaussians. As a result, we find the critical metallization pressure $p_C = 102\GPa$. The latter part is a discussion of the influence of zero-point motion onthe stabilizing pressure. We show that in our model the estimate magnitude ofzero-point motion carries a little effect on the critical metallizationpressure at zero temperature.

Metallization of atomic solid hydrogen within the extended Hubbard model with renormalized Wannier wave functions