K-Meson Production and Isospin-Symmetry in pp and AA Collisions

The production of K-mesons in pp and AA collisions at high energies is analyzed. We show that the ratio $${{R}_{K}} = \\frac{{{{\\sigma }_{{{{K}^{ + }}}}} + {{\\sigma }_{{{{K}^{ - }}}}}}}{{2{{\\sigma }_{{K_{S}^{0}}}}}}$$ calculated within the similarity approach, including the gluon transverse momentum distribution at low QCD scales [5], and using the Lund model in the form of MC generator PYTHIA [14] is above 1 even at the conservation of the isospin-symmetry. It is about 1.18 at $$\\sqrt s = $$ 11.9 GeV (the NA61/SHINE data [1]) and it decreases up to 1, when the energy increases up to a few TeV (ALICE data). The reason of this is related to the dynamics of the kaon production. This energy behavior of $${{R}_{K}}$$ practically does not depend on the sort of beam or target.