Α-decay chains originating from odd-A superheavy nuclei (SHN) with atomic numbers 118 ≤ Z ≤ 124, are systematically investigated after analyzing their decay modes by comparing the calculated α-decay half-lives ( \(T_{1/2}^{\alpha }\) ) with spontaneous fission half-lives ( \(T_{1/2}^{SF}\) ). Employing a theoretical framework motivated by a phenomenological approach involving the energy density functional (EDF) of the Skyrme force within the Wentzel-Kramers-Brillouin (WKB) approximation, we have calculated the α-particle preformation probabilities ( \(P_{\alpha }\) .) for 110 odd-A heavy and superheavy nuclei. This approach inherently incorporates nuclear structure effects, such as deformation and shell closures. The calculated \(P_{\alpha }\) -values are analyzed within the modified NPNNI-scheme, which is then utilized to estimate \(T_{1/2}^{\alpha }\) -values for the unsynthesized odd-A superheavy nuclei. The obtained results of \(T_{1/2}^{\alpha }\) -values are compared with those calculated using the universal decay law (UDL) and the generalized liquid drop model (GLDM). The calculated branching ratios suggest the presence of 18 potential α-decay chains, which may guide future experimental efforts in the superheavy region.
