Description of Coulomb Barriers in Fusion Reactions of Calcium Isotopes

Key Points

• This research aims to investigate how velocity-dependent terms in the Skyrme energy density functional affect the Coulomb barrier in calcium fusion reactions.
• Applied energy density functional theory to model fusion reactions of $${}^{40}\textrm{Ca}+{}^{36{-}62}$$ Ca.
• Calculated nucleus-nucleus interaction potentials using the double-folding formalism.
• Examined the impact of velocity-dependent terms and shell effects on Coulomb barrier properties.
• Increased velocity-dependent terms significantly enhanced the description of the Coulomb barrier.
• A linear correlation between the height and position of the Coulomb barrier was identified.
• Shell effects notably influenced the Coulomb barrier properties in these fusion reactions.