Charm fragmentation fractions and {rm cc} cross section in p-Pb collisions at s_{rm NN}=5.02 TeV

The total charm-quark production cross section per unit of rapidity dσ({rm cc})/dy, and the fragmentation fractions of charm quarks to different charm-hadron species f(crm h_{c}), are measured for the first time in p-Pb collisions at s_mathrm{NN} = 5.02 TeV at midrapidity (-0.96<y<0.04 in the centre-of-mass frame) using data collected by ALICE at the CERN LHC. The results are obtained based on all the available measurements of prompt production of ground-state charm-hadron species: D^{0}, D^{+}, D_s^{+}, and J/ψ mesons, and Λ_c^{+} and Ξ_{rm c}^{0} baryons. The resulting cross section is dσ({rm cc})/dy =219.6 pm 6.3;(stat.) {;}_{-11.8}^{+10.5};(syst.) {;}_{-2.9}^{+8.3};(extr.)pm 5.4;(BR)pm 4.6;(lumi.) pm 19.5;(rapidity shape)+15.0;(Ω_{rm c}^{0}) mb, which is consistent with a binary scaling of pQCD calculations from pp collisions. The measured fragmentation fractions are compatible with those measured in pp collisions at s = 5.02 and 13 TeV, showing an increase in the relative production rates of charm baryons with respect to charm mesons in pp and p-Pb collisions compared with e^{+e^{-}} and e^{-p} collisions. The p_T-integrated nuclear modification factor of charm quarks, R_pPb({rm cc})= 0.91 pm 0.04;{rm (stat.)}{}^{+0.08}_{-0.09};{rm (syst.)}{}^{+0.05}_{-0.03};{rm (extr.)}{}pm 0.03;{rm (lumi.)}, is found to be consistent with unity and with theoretical predictions including nuclear modifications of the parton distribution functions.