LAUSR

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.