The astrophysical reaction rate of the charged-particleinduced reaction is dominated by the cross section within the Gamow window. The total cross section o-（E） of a charged- particle-induced reaction is known to drops steeply with decreasing energy owing to the Coulomb barrier in the entrance channel：
Experimental data ofβ--decay half-lives of nuclei with atomic number between 20 and 190 are investigated.A systematic formula has been proposed to calculateβ^--decay half-lives of neutron-rich nuclei,with a particular consideration on shell and pair effects,the decay energy Q as well as the nucleon numbers(Z,N).Although the formula has relatively few parameters,it reproduces the experimentalβ^--decay half-lives of neutron-rich nuclei very well.The predicted half-lives for the r-process relevant nuclei obtained with the current formula serve as reliable input in the r-process model calculations.
Several elastic scattering angular distributions of 12C from target nuclei of A≥ 39 are analyzed to extract the Woods-Saxon poten- tial parameters with the fixed imaginary potential and Coulomb radius parameters. Using the best fitted diffuseness parameters, the correlations of the real part parameters with A1/3 1 ＋ A1/3 2and incident energy are revealed, and the systematic Woods-Saxon potential parameters are presented for nucleus-nucleus interaction. The proposed potential parameters can reproduce not only the elastic scattering angular distributions induced by 12C, but also many elastic scattering angular distributions induced by the projectiles other than 12C, thus providing important inputs for the study of nuclear reactions of heavy-ion systems.
