B-meson hadroproduction cross sections and up-to-date models

The comparison of B-meson production cross sections as the results of PYTHIA code and Quark Gluon String Model (QGSM) is carried out for energies of proton colliders: $Sp\bar(p)S$, Tevatron and LHC. Model predictions are based on the theory of supercritical Pomeron exchanges with the phenomenological intercept $\Delta_P$(0)=0.3, accepted for heavy quark production.Transverse momentum spectra of B-mesons are also compared. It is shown that the cross sections calculated with PYTHIA using CTEQ structure functions are in a contradiction with the asymptotical estimation of B$\bar{B}$ production cross sections in QGSM. Asymmetries between the spectra of $B^0$ and $\bar{B0}$ mesons are also contradicting. The reasons of the difference are discussed.