Scaling of anisotropic flows and nuclear equation of state in intermediate energy heavy ion collisions

Elliptic flow ($v_2$) and hexadecupole flow ($v_4$) of lightclusters have been studied in detail for 25 MeV/nucleon $^{86}$Kr+ $^{124}$Sn at large impact parameters by using a quantummolecular dynamics model with different potential parameters. Foursets of parameters including soft or hard equation of state (EOS)with or without symmetry energy term are used. Bothnumber-of-nucleon ($A$) scaling of the elliptic flow versustransverse momentum ($p_{rm t}$) and the scaling of $v_4/A^{2}$ versus$(p_{rm t}/A)^2$ have been demonstrated for the light clusters in allabove calculation conditions. It is also found that the ratio of$v_4/{v_2}^2$ maintains a constant of 1/2 which is independent of$p_{rm t}$ for all the light fragments. Comparisons among differentcombinations of the EOS and the symmetry potential term show thatthe above scaling behaviours are sound and independent of thedetails of potential, while the strengths of flows are sensitiveto the EOS and the symmetry potential term.