The surprising heavy hadrons production in pp and AA collisions: hadronization within coalescence and fragmentation

The hadronization process of heavy hadrons with bottom and charm quarks, especially for baryons Λc and Λb, in a dense QGP medium is largely not understood. We present within a coalescence plus fragmentation model the predictions for D0, Ds, Λc, B and Λb spectra and the related baryon to meson ratios at RHIC and LHC in a wide range of transverse momentum region up to 10 GeV, moreover we show the effect of the hadronization mechanism which plays a fundamental role to describe simultaneously the experimental data for the nuclear suppression factor RAA and the elliptic flow υ2(pT) of heavy hadrons from RHIC to LHC energies. In particular, we show the considerable change of the Nuclear modification factor of D mesons due to the large Ac production, explaining the RAA(pT) < 1 observed by STAR at low momenta. We will discuss how our model can naturally predict values of the order of O(1) for Λc/D0 as recently measured at both RHIC and LHC, and we present the novel predictions for Λb/B not yet measured, which are much larger than the expectations from fragmentation. Moreover assuming that ar the LHC top energies there can be the formation of QGP, we show that in the same scheme due to considerable volume effect a still large Λc/D0 ≈ 0.5 is predicted as seen by ALICE in pp and pA collisions Furthermore in the same scheme can be predicted a baryon to meson ratio Λc/D0 in pp collisions assuming that at the LHC top energies there can be the formation of QGP matter. The results show a considerable volume effects that significantly reduce the ratios, but still predict quite larger values with respect to fragmentation, in agreement with recent data from ALICE in pp collisions.