Empirical formula for pre-formation probability in actinide region within unified fission model

Abstract

Abstract An improved semi-empirical formulae for pre-formation probability is proposed within unified fission model. The role of pairing effect and shell correction term were taken in to account. Around 39 even–even (E–E) nuclei, 24 even–odd (E–O), 29 odd–even (O–E) and 14 odd–odd (O–O) nuclei were considered in the atomic and mass number range 89 ≤ Z ≤ 103 and 206 ≤ A ≤ 257 respectively. The standard deviation are evaluated for Zhang et al. [Phys. Rev. C 95, 014311 (2017)], Ismail and Adel [Phys. Rev. C 88.054604 (2013)], Seif et al. [Phys. Rev. C 92, 044302 (2015)] are evaluated. We have also compared the standard deviation of present work with that of available semi-empirical formulae. The standard deviation using Royer [J. Phys. G: Nucl. Part. Phys. 26 1149 (2000)] in case of E–E is smaller when compared to present work. In all other cases the standard deviation obtained from the present work is smaller when compared to other studied semi-empirical relations. Hence, involvement of pairing effect and shell correction term of parent nuclei in the pre-formation probability reproduces experimental α-decay half-lives in the actinide nuclei. As a result, the current work’s detailed examination of the unified fission model and application of pre-formation probability may be utilised to anticipate unexplored isotopes in actinide nuclei.