Cluster pre-formation probabilities and decay half-lives for trans-lead nuclei using modified generalised liquid drop model (MGLDM)

• Published in: Pramāṇa Vol. 95; no. 4
• Main Authors: Santhosh, K P, Jose, Tinu Ann
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.12.2021; Springer Nature B.V
• Subjects: Alpha decay; Astronomy; Astrophysics and Astroparticles; Atomic properties; Clusters; Drops (liquids); Half-life; Nuclei; Observations and Techniques; Physics; Physics and Astronomy; Q values; Standard deviation; alpha radioactivity; 23.70.+j; Cluster radioactivity; half-life; 23.60.+e; 27.90.+b
• ISSN: 0304-4289; 0973-7111
• DOI: 10.1007/s12043-021-02187-w

Cluster decay half-lives of trans-lead nuclei emitting clusters like C, N, O, F, Ne, Mg and Si are studied by incorporating various cluster pre-formation probabilities to the modified generalised liquid drop model (MGLDM). MGLDM is a method in which generalised liquid drop model (GLDM) is modified using proximity 77 potential. In this approach, we make the assumption that the cluster is pre-born inside the parent nuclei and the pre-formation factor that depends on Q value, size of the cluster and product of atomic number of the cluster and the daughter nuclei are formulated and added to MGLDM. Calculated half-lives using three formulae are cross checked with experimentally detected values from various isotopes of Fr, Ra, Ac, Th, U, Pa, Np, Pu and Am parent nuclei and the results match exactly. Standard deviations of logarithmic half-lives using pre-formation factors which depend on Q values, cluster size and product of atomic number of the cluster and the daughter nuclei, are 1.08, 0.995 and 1.07 respectively. Hence, we formulate a pre-formation factor that depends on all the three parameters together in an equation and the standard deviation is found to be 0.885. Again, the four formulae proved its applicability in the case of alpha decay from the parent nuclei of atomic numbers 85–102.