Ratio of kaon-to-pion production cross-sections in BeBe collisions as a function of √(s)

The inclusive spectra of pions and kaons produced in BeBe collisions as functions of their transverse momentum p_T at mid-rapidity are calculated within the approach, which is based on the assumption of the similarity of inclusive spectra of hadrons produced in AA collisions at their small transverse momenta in the mid-rapidity region. The essence of the modification of the self-similarity approach consists in the inclusion of a quark-gluon dynamics in hadron production in nucleon–nucleon interaction at mid-rapidity. We focus mainly on the ratio of cross-sections of K^± to π ^± mesons produced in BeBe collisions as a function of √(s) . A fast rise of this ratio, when the initial energy increases starting from the kaon production threshold up to √(s)≃ 20–30 GeV, is revealed together with its very slow increase up to LHC energies. The energy dependence of this ratio is due to the conservation laws of four-momenta and quantum numbers of the initial and produced hadrons and the Regge asymptotic behavior of the total and inelastic cross-sections of nucleon–nucleon collisions at large initial energies The satisfactory description of NA61/SHINE data on these ratios is demonstrated. Some predictions for RHIC and LHC on the K^+/π ^+ and K^-/π ^- yield ratios as functions of √(s) in BeBe collisions as functions of √(s) are presented. The similarity of these observables to the ones for pp collisions at mid-rapidity and in the wide range of initial energies is illustrated.