A recent proposed universal decay law (UDL) for $\alpha$-decay and cluster radioactivity (CR) half-lives [C. Qi, F. R. Xu, R. J. Liotta, and R. Wyss, Phys. Rev. Lett 103, 072501 (2009)] that can accurately reproduce the experimental data was introduced starting from $\alpha$-like $R$-matrix theory. The UDL formula depends only on the mass and charge numbers of the charged particle and the $Q$ value. The new mass table AME2012 and the theoretical FRDM95, KTUY05, and WS2011 masses are used to determine the $Q$ values. We systematically investigate the branching ratios of cluster radioactivity with respect to $\alpha$ decay for even-even superheavy nuclei (SHN) with $Z=104$–120 using the UDL formula. It is found that cluster radioactivity can be compared to $\alpha$ decay in neutron-rich SHN.

• Received 2 March 2014
• Revised 25 April 2014

DOI:https://doi.org/10.1103/PhysRevC.89.067301