5^{th} International Symposium on Nuclear Symmetry Energy NuSYM15, June 29 - July 2, 2015 Kraków, POLAND

### Covariance Analysis of Transport Model Parameters relevant for symmetry energy

**Yingxun Zhang**

China Institute of Atomic Energy Beijing, CHINA

**Abstract**

Using covariance analysis, we quantify the correlations between the interaction parameters in a transport model, which has been developed for incorporating the standard Skyrme interaction, and the experimental observables commonly used to extract information of the Equation of State of Asymmetric Nuclear Matter. Using the simulations of $^{124}$Sn+$^{124}$Sn, $^{124}$Sn+$^{112}$Sn and $^{112}$Sn+$^{112}$Sn reactions at beam energies of 50 and 120 MeV per nucleon, we have identified that the nucleon effective masses splitting are most strongly correlated to the neutrons and protons yield ratios from central collisions especially at high incident energy. The best observable to determine the slope of the symmetry energy, L, at saturation density is the isospin diffusion observable at low incident energy even though the correlation is not very strong ($\sim$0.7). Similar magnitude of correlation but opposite in sign exists for isospin diffusion and nucleon isoscalar effective masses. At 120 MeV/u, the effective mass splitting and the isoscalar effective mass also have opposite correlation for the double n/p and isoscaling p/p yield ratios. By combining the data and simulations at high and low energy, it should be possible to disentangle the effects the slope of symmetry energy (L), isoscalar effective mass ($m_s^*/m$) and effective mass splitting and place the constraints on $L$, $m_s^*/m$ and effective mass splitting with reasonable uncertainties.