Charm cross section and fragmentation fractions in pp collisions with ALICE

In this contribution, the latest ?+c, ?0c and the first ?+c, S0c++ and O0c baryon measurements performed with the ALICE detector at midrapidity in proton-proton collisions at vs = 5.02 TeV and 13 TeV at the LHC are presented. Recent measurements of baryon-to-meson cross-section ratios at midrapidity show significantly higher results than in e+e- and ep collisions, suggesting that the fragmentation of charm is not universal across different collision systems. Thus, measurements of charm-baryon production are crucial to study the charm-quark hadronisation in pp collisions and the possible difference with respect to e+e- and ep collisions. In addition, the baryon-production measurements were essential for the measurement of the cc¯ production cross section performed by ALICE at midrapidity in pp collisions and also presented in this contribution. Furthermore, the new preliminary measurement of the ?+c/D0 ratio in 0 = pT < 1 GeV/c in p-Pb collisions will be discussed. The measurement of charm baryons in proton-nucleus collisions provides important information about Cold Nuclear Matter (CNM) effects. It also helps to understand how the possible presence of collective effects could modify the production of heavy-flavour hadrons and to interpret the similarities observed among pp, proton-nucleus and nucleus-nucleus systems.