  We perform a detailed study of the $\Upsilon$-, $\eta_b$- and $B_c$-nucleus
systems in momentum space to calculate the bound-state energies and the
corresponding coordinate space radial wave functions. A comparison is made
among different methods to obtain the partial wave decomposition of
meson-nucleus potentials in momentum space, namely, (i) the spherical Bessel
transform of the numerically obtained original potential in coordinate space,
(ii) the partial wave decomposition of the Fourier transform of the Woods-Saxon
approximated form for the original potential, and (iii) the spherical Bessel
transform of the Woods-Saxon approximation of the numerically obtained original
potential. The strong nuclear bound-state energies for the $\Upsilon$-$^{4}$He,
$\Upsilon$-$^{12}$C, $\eta_b$-$^{4}$He, $\eta_b$-$^{12}$C, $B_c$-$^{4}$He (no
Coulomb), and $B_c$-$^{12}$C (no Coulomb) systems and the corresponding wave
functions in coordinate space are compared for the three methods. Furthermore,
as an initial and realistic study, the $B_c^{\pm}$-$^{12}$C bound states are
studied for the first time, with the effects of self-consistently calculated
Coulomb potentials in $^{12}$C (when the $B_c^{\pm}$ mesons are absent).
