Abstract
The new data reported by ALICE on the production of light nuclei with ${p}_{\ensuremath{\perp}}\ensuremath{\lesssim}10\text{ }\text{ }\mathrm{GeV}$ in Pb-Pb collisions at $\sqrt{{s}_{\mathrm{NN}}}=2.76\text{ }\text{ }\mathrm{TeV}$ are used to compute an order-of-magnitude estimate of the expected production cross sections of light nuclei in proton-proton collisions at high transverse momenta. We compare the hypertriton, helium-3, and deuteron production cross sections to that of $X(3872)$, measured in prompt $pp$ collisions by CMS. The results we find suggest a different production mechanism for the $X(3872)$, making questionable any loosely bound molecule interpretation.
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