Heavy cluster radioactivity and decay mode of Superheavy element 306^120

Abstract

Background: Many theoretical studies and experimental attempts are conducted to synthesize SHN with Z =120 being an element with a proton magic number. The prediction of the island of stability also encourages scientists to search for the existence of super heavy nuclei near Z=120. Purpose: Main aim of our work is to predict all heavy cluster emissions from superheavy nuclei (SHN) ³⁰⁶120. Methods: Modified Generalized Liquid drop model (MGLDM) with Q value dependent pre-formation factor [Phys. Rev. C, 99, 064604 (2019)] is the theoretical model used to calculate the alpha and cluster decay half-life of SHN ³⁰⁶120. The spontaneous fission half-life is predicted using the shell effect and mass inertia dependent formula by our group [Phys. Rev. C, 104, 024617 (2021)]. Results: We investigate all cluster emissions from ³⁰⁶120, and the fragment combination ¹²³Cd (Z=48) leading to 183Hf daughter nucleus is predicted to be a probable heavy cluster decay with halflives comparable with alpha decay half-lives. The heavy cluster ¹³⁷Xe (N=83) with ¹⁶⁹Dy daughter nucleus is predicted to be the most probable cluster decay with the least half-life among all fragment combinations. Thus, our study shows the role of the magic number of proton and neutron in cluster decay. We also predict that the superheavy element ³⁰⁶120 decays by 4 alpha chains followed by spontaneous fission. Conclusions: The predicted half-life in the case of alpha decay and heavy cluster emission from SHN ³⁰⁶120 are within experimental limits and we hope that our predictions will guide future experiments.