  Recent experimental data from $pp$ collisions have shown a significant
increase in heavy baryon production leading to a baryon over meson ratio which
is one order of magnitude higher than elementary collisions ($e^+e^-$, $ep$).
From a theoretical point of view this large production of baryon can be
explained with hadronization via quark coalescence assuming a QGP medium in
$pp$ collisions. In this study, we extend this analysis to include hadrons
containing bottom quarks. Employing a coalescence plus fragmentation approach,
we present predictions for $p_T$ spectra and the heavy baryon/meson ratio of
charmed hadrons with and without strangeness content, specifically:
$\bar{B^0}$, $B_s$, $\Lambda_b$, $\Xi_b^{0,-}$, $\Omega_b$, and the $B_c$
meson. We have found that coalescence is the dominant mechanism in the B meson
production, especially at low momenta, at variance with what found in the charm
sector where the D meson were mainly produced via fragmentation. Our model
predicts a $\Lambda_b/\bar{B^0}\approx0.5\!-\!1$ and $\Xi_b^0/\bar{B^0}$ ratio
around 0.3 at very low transverse momentum, which are about $1.5$ larger then
those of the corresponding charmed hadron ratios at the same collision energy.
Furthermore, we discuss the relative ratios between charmed and bottomed
hadrons, emphasizing how these observables can provide information about the
distribution of charm and bottom quarks and, if experimentally observed, would
further support the idea of quark-gluon plasma formation even in small
collision systems.
