Relativistic R3Y Nucleon–Nucleon Potential: Decay Characteristics of $^{124}$Ba Isotope Within the Preformed Cluster Decay Approach

Abstract

The cluster decay properties of $^{124}$Ba is analysed using the recently developed R3Y nucleon–nucleon (NN) potential which was derived from the relativistic mean-field (RMF) approach. The interaction barrier characteristics are compared with the well-known phenomenological M3Y NN potential. The densities for the daughters and clusters are also obtained from the RMF formalism, which is folded with the NN potentials to deduce the nucleus–nucleus potential. The decay half-lives are calculated using the preformed cluster decay model (PCM) in which cluster emission undergoes a quantum tunnelling process across a potential barrier. The scaling factor of Blendowske & Walliser is employed for the estimation of the preformation probability $P_0$ of the emitted clusters. It is noticed that the half-lives predictions of the M3Y potentials are higher than those of the R3Y at neck-length parameter ${\Delta }$R = 0.5 fm, being correlated with different barrier properties and an extended repulsive core. Furthermore, $^{12}$C manifests the least half-life which indicates the shell closure effect, corresponding to $^{112}$Sn daughter. The relationship between cluster masses and the decay parameters is also concisely analysed.

The work is supported by the FRGS grant number: FRGS/1/2019/STG02/UniMAP/02/2, DAE-BRNS Project Sanction No. 58/14/12/2019-BRNS, FOSTECT Project Code: FOSTECT.2019B.04, and FAPESP Project Nos. 2017/05660-0.