Competition between spontaneous fission ternary fission cluster decay and alpha decay in the super heavy nuclei of ZÂ =Â 126

Super heavy nuclei may decay through the different decay modes such as spontaneous fission, ternary fission and cluster decay. There is a need to study the different decay modes such as spontaneous fission, ternary fission and cluster decay of super heavy nuclei. We studied the spontaneous fission, ternary fission and cluster decay of predicted isotopes of super heavy nuclei for Z=126 and compared with that of alpha decay. This enables to study the competition between spontaneous fission, ternary fission, cluster decay and alpha decay in the super heavy nuclei of Z=126. The comparison of half lives for different decay modes reveals that alpha decay is having smaller half lives than the other studied decay modes. A detailed study of branching ratio of alpha decay with respect to other decay modes also confirms that alpha decay is most dominant decay mode for the super heavy nuclei 318126, 319126, 320126 and 323-326126 and hence these nuclei can be detected through the alpha decay mode only.