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This work investigates and focuses on the effect of K +  potential on the nuclear equation of state (soft and hard EoS) for K +  production in heavy ion-collision by using the quantum molecular dynamics model (QMD). Production of a cross-section of K +  mesons in  197 Au + 197  Au collision at incident energy 1.1 (polar angle 56°) and 1.46 (polar angle 40° and 56°) A GeV respectively, as well as studying impact parameter between 4.14 and 12.41 fm. The production cross-section as a function of the laboratory momentum (p lab ) is computed and compared with KaoS experiments. The calculations performed with and without Brown-Rho parameters (K + N) as well as the soft and hard equation of state. The results displayed the theoretical calculations with the soft EoS are similar to the hard EoS. The theoretical calculations with soft and hard EoS while including K + N potential tend to be consistent with the KaoS experiments, this indicates that the production of the cross section for K +  mesons as a function of the laboratory momentum is one of sensitive probes to extract information on the K + N potential at high densities.

The effect of K+ potential on the nuclear equation of state for the K+ production in heavy ion collisions by using a quantum molecular dynamics model