Various cluster radioactivities above magic nuclei

We present parameter-free tunneling calculations for various cluster radioactivities including the diproton decays of atomic nuclei. An uniform folded cluster potential has been suggested that is based on a self-consistent mean-field model, with the folding factor determined using the quantization conditions of the quasibound cluster state. We have investigated the $\alpha$-particle and heavier-cluster decays of trans-$^{100}$Sn and trans-$^{208}$Pb nuclei, and the observed diproton emission from the proton drip-line nucleus $^{16}$Ne, showing the overall reasonable descriptions of cluster radioactivities with calculated half-lives agreeing well with experimental data. We have also predicted the properties of yet unobserved cluster decays of the exotic nuclei $^{112,114}$Ba, $^{104}$Te and $^{38}$Ti.