The [Formula: see text]-decay chain of [Formula: see text] and [Formula: see text] is studied using cubic plus proximity potential with improved transfer matrix (CPP-ITM) model. The nuclear mass models DD-PC1, WS4, WS3.3 are employed to evaluate the [Formula: see text]-decay energies. Thus calculated [Formula: see text]-decay half-lives and decay chain lengths are found to be in good agreement with other theoretical formalisms. The spontaneous fission (SF) half-lives are calculated using the formalism of Xu et al. [Phys. Rev. C 71 (2005) 014309; Phys. Rev. C 78 (2008) 044329] to have a vision on the possible decay modes and decay chain lengths, and the most probable decay chains associated with the isotopes of [Formula: see text] [Formula: see text] [Formula: see text]. This paper unveils the mass region that survives fission and also predict the long [Formula: see text]-decay chains of [Formula: see text] [Formula: see text] [Formula: see text] with [Formula: see text] emitting 6[Formula: see text], [Formula: see text] emit 5[Formula: see text] [Formula: see text] [Formula: see text] 4[Formula: see text] particles, while for [Formula: see text] chains will have [Formula: see text] emission. The SF for [Formula: see text] [Formula: see text] [Formula: see text] occur at [Formula: see text] and [Formula: see text]. These current predictions may pave way to detect/synthesize the most probable isotopes of the superheavy elements [Formula: see text] [Formula: see text] [Formula: see text] in the laboratory through future experiments.
The one-proton emission, alpha decay and cluster decay using a Cubic Plus Proximity model with improved transfer-matrix method are executed for the first time for the study of decay properties of 368 isotopes of nuclei, far from the beta stability line and beyond the islands of stability [Formula: see text] superheavy nuclei are studied within the range [Formula: see text]. The calculated decay half-lives are in good agreement with other theoretical approaches. The signature of neutron shell closure at [Formula: see text] and proton shell closure at [Formula: see text] obtained from half-life curves for emission of different clusters pronounces the previous predictions. Investigation of competition between various decay modes brings out the dominant decay mode associated with an isotope; for a given [Formula: see text] with increasing [Formula: see text] the dominant decay mode is seen to shift from proton decay to alpha decay and finally spontaneous fission. The decay modes and half-lives which are within the limit of experimental detection [Formula: see text] are presented.
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