Expectation for the Density Dependence of Isoscaling Parameters at Rare Isotope Collisions

We present the expected measurements of the isoscaling effect in rare isotope collisions with large isospin asymmetry at the future Korea rare-isotope accelerator. In particular, we explore the density dependence of the isoscaling parameters for various assumptions for the nuclear symmetry energy from super-soft to stiff forms. The magnitudes of the isoscaling parameters are expected to be larger for larger isospin asymmetric reactions. In addition, the density dependence of the ratio of the fragment yields is expected to be larger for larger proton-to-neutron ratio of the measured particle. The double ratio, which is the ratio of any isobar yield ratios for different isospin compositions, can be another good probe for the nuclear symmetry energy. Since the double ratio depends on the neutron (or proton) number difference between two measured isobars, the potential candidates might be the pairs of (⁹Be,⁹C), (⁷Li,⁷Be), and (¹⁴C,¹⁴N). The large-acceptance multipurpose spectrometer at the Korea rare-isotope accelerator is being optimized to measure not only the isoscaling parameters but also other observables like the isospin tracing (or diffusion) parameters and the collective flow.