Curvature correction term as a constraint for the Skyrme interaction

Abstract

The curvature correction term to the surface tension is used as a criterion for the efficiency of the Skyrme interaction in describing surface properties. Based on the nuclear equation of state, the curvature correction term to the surface tension coefficient is calculated for 97 standard Skyrme interaction parameter sets in the vicinity of nuclear saturation density at zero temperature. The main idea is to find those parametrizations that give the Tolman's $\delta$ correction close to the available theoretical predictions from the statistical theory. Only 59 out of 97 models give satisfactory results. Comparison of the obtained results with the results of the implementation of different macroscopic and microscopic constraints to Skyrme parametrizations available in the literature allows us to select 4 models that satisfy all the constraints.

7 pages, 4 figures, 3 appendices

References in corpus (5)

• Skyrme Interaction and Nuclear Matter Constraints
• Equation of State of Nuclear Matter at high baryon density
• Curved and diffuse interface effects on the nuclear surface tension
• Evaluation of the curvature-correction term from the equation of state of nuclear matter
• Nuclear Chemical and Mechanical Instability and the Liquid-Gas Phase Transition in Nuclei

Cited by in corpus (1)

• Reexamination of Tolman's law and the Gibbs adsorption equation for curved interfaces