Various cluster radioactivities above magic nuclei

Abstract

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.

Comments: 2 tables, no figure