Nuclear Symmetry Energy Constrained by Nuclear Radioactivities

The density-dependence of symmetry energy is of particular importance to many problems in nuclear physics and astrophysics. Exotic cluster radioactivity is proposed to constrain the density slope of symmetry energy L(ρ0) by using the density-dependent cluster model (DDCM) where the cluster radioactivity serves as a link between the neutron skin thickness of ²⁰⁸Pb and the density slope L(ρ0). The isovector part of cluster-²⁰⁸Pb potential constructed from the M3Y nucleon-nucleon interaction is found to be very important in determining the density slope parameter L(ρ0). The correlation between the neutron skin thickness of ²⁰⁸Pb and the density slope parameter are obtained from cluster radioactivities around ²⁰⁸Pb with measured data. The constraint of L(ρ0) from proton radioactivity is also discussed.