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Kaon and Lambda productions in relativistic heavy ion collisions

A microscopic approach has been employed to study the kaon and $Λ$ productions in heavy ion collisions. The productions of $K^+$ and $Λ$ have been studied within the framework of Boltzmann transport equation for various beam energies. We find a non-monotonic horn like structure for $K^+/π^+$ and $Λ/π$ when plotted against centre of mass energies ($\sqrt s_{\mathrm NN}$) with the assumption of initial partonic phase for $\sqrt s_{\mathrm NN}$ beyond a certain threshold. However, the ratio $K^+/π^+$ shows a monotonic nature when a hadronic initial state is considered for all $\sqrt s_{\mathrm NN}$. Experimental values of $K^-/π^-$ for different $\sqrt{s_{\mathrm NN}}$ are also reproduced within the ambit of the same formalism.