Scaling of anisotropic flows and nuclear equation of state in intermediate energy heavy ion collisions |
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Authors: | Yan Ting-Zhi Ma Yu-Gang Cai Xiang-Zhou Fang De-Qing Guo Wei Ma Chun-Wang Shen Wen-Qing Tian Wen-Dong and Wang Kun |
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Institution: | Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China; Graduate School of the Chinese Academy of Sciences, Beijing 100039, China |
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Abstract: | Elliptic flow ($v_2$) and hexadecupole flow ($v_4$) of light
clusters have been studied in detail for 25 MeV/nucleon $^{86}$Kr
+ $^{124}$Sn at large impact parameters by using a quantum
molecular dynamics model with different potential parameters. Four
sets of parameters including soft or hard equation of state (EOS)
with or without symmetry energy term are used. Both
number-of-nucleon ($A$) scaling of the elliptic flow versus
transverse 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 all
above 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 different
combinations of the EOS and the symmetry potential term show that
the above scaling behaviours are sound and independent of the
details of potential, while the strengths of flows are sensitive
to the EOS and the symmetry potential term. |
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Keywords: | anisotropic flow number-of-nucleon scaling EOS symmetry energy |
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