Universal Models for Heavy-Ion Fusion Cross Section Above-Barrier

¹ Dipartimento di Fisica e Astronomia, University of Catania, Catania, Italy
² INFN-Sezione di Catania, Catania, Italy
³ Dipartimento di Fisica "Ettore Pancini", University of Naples "Federico II", Naples, Italy
⁴ INFN-Sezione di Napoli, Napoli, Italy

^* e-mail: ivano.lombardo@ct.infn.it
^** e-mail: daniele.dellaquila@unina.it

Published online: 8 December 2023

Abstract

The paper discusses a recent re-investigation of a large body of heavy-ion fusion cross section data with the aim of deriving a simple phenomenological model able to describe data from the Coulomb barrier up to the onset of nuclear multifragmentation. To this end, we adopted two complementary approaches: a first universal phenomenological model was derived exploiting a novel artificial intelligence tool for the formal modelling of large datasets. This tool is capable of advanced feature selection and is ideal to drive the discovery process even using traditional methods. A second phenomenological model was derived using a sum-of-difference approach and achieved an unprecedented accuracy in describing above-barrier fusion excitation functions data. Future perspectives and opportunities arising from the present models are also discussed in the text.