Exploring Isotope Production through 2n-Emission in Reactions Induced by 48Ca: A Theoretical Investigation

Abstract

In this investigation, we employ the Dynamical Cluster-decay Model (DCM) approach to scrutinize the fragmentation channels emerging from 245Es* and 251Md*. These nuclei are produced through 48Ca+197Au and 48Ca+203Tl reactions with similar beam energies of approximately 210.0 MeV and 212.7 MeV. This methodology involves adjusting the neck formation (ΔR) within the DCM framework to compute 2n-emission cross-sections for these systems. These calculated cross-sections are then juxtaposed against experimental data to validate the predictive capabilities of the model. Furthermore, this study examines the fragmentation dynamics of fragments emerging from 245Es* and 251Md*, investigating its characteristics based on minimized coordinates of the lighter fragment’s mass (A2). This analysis is performed at the most suitable ΔR values, elucidating the energetically favoured decay pathways and the potential presence of magic or near magic shell closures. Moreover, this investigation delves into the preformation and penetration probabilities associated with 2n-emission and their dependence upon the angular momentum values involved. As an extension of this work, a comparative evaluation of 1n-emission from both 245Es* and 251Md* is also carried out in terms of variations in preformation probabilities and penetration probabilities. Notably, these results underscore the necessity for experimental validation of the DCM-predicted 1n-emission data, enhancing the credibility and robustness of the model’s predictions.