Elliptic flow of the proton in ¹⁹⁷Au + ¹⁹⁷Au collisions reaction at intermediate energy by using a quantum molecular dynamics model

The elliptic flow (v₂) of the proton in ¹⁹⁷Au + ¹⁹⁷Au collisions reaction at intermediate energy by using a quantum molecular dynamics model (QMD) is investigated. We analyse the elliptic flow of the proton in ¹⁹⁷Au + ¹⁹⁷Au collisions reaction at incident energy 0.09, 0.12, 0.15 and 0.25 A GeV with the impact parameter from 0.25 to 0.45 (0.25 < b ₀ < 0.45) by including a nuclear equation of state (EoS). The theoretical calculated results are compared with the FOPI data. We observe that the EoS effects obviously to the elliptic flow as a function of the centrality transverse component t of the 4-velocity (u _t0). After taking into account a soft nuclear equation of state (Soft EoS), a theoretical is in a good agreement with the experimental data this indicates that the elliptic flow as a function of the u _t0 is one of sensitive probes to extract information on the EoS properties at high density. (paper)