A detail investigation on quaternary, ternary, and binary fission of Nobelium

The quaternary, \(\alpha\)-ternary, and binary fission of \(^{249-262}\)No has been studied by considering the role of deformation and angle of orientation. identified by investigating driving potential, yield, and half-lives. The identified fission fragment combination from the cold-valley plot possesses nearly magic and magic numbers of either atomic/neutron numbers or both. The branching ratio of \(\alpha\)-decay with respect to quaternary, \(\alpha\)-ternary, and binary fission is studied. After rigorous investigation between different decay modes, it was is noticed that \(^{249}\)No and \(^{261}\)No undergo spontaneous fission. The quaternary fission of \(^{249-262}\)No is the first of its kind that is not observed in the literature. Spontaneous fission half-lives of \(^{249}\)No and \(^{261}\)No posses shorter half-lives when compared to other possible decay modes such as quaternary fission, \(\alpha\)-ternary, binary fission, alpha, and \(\beta\)-decay. The half-lives of \(^{249}\)No and \(^{261}\)No are found to be 1.05\(\times 10^{-2}\)s and 123, respectively. We hope that the present work will lay the foundation for future investigations.