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A new alternative approach to calculate the ratio of the surface to volumecomponents of the nuclear symmetry energy is proposed in the framework of thecoherent density fluctuation model (CDFM). A new expression (scheme II) for theratio is derived consistently within the model. This expression appears in aform more direct and physically motivated than the expression (scheme I) thatwas used in our previous works within the CDFM and avoids preliminaryassumptions and mathematical ambiguities in scheme I. The calculations arebased on the Skyrme and Brueckner energy-density functionals for nuclear matterand on nonrelativistic Brueckner-Hartree-Fock method with realistic Bonn B andBonn CD nucleon-nucleon potentials. The approach is applied to isotopic chainsof Ni, Sn, and Pb nuclei using nuclear densities obtained in self-consistentHartree-Fock+BCS calculations with SLy4 Skyrme effective interaction. Theapplicability of both schemes within the CDFM is demonstrated by a comparisonof the results with the available empirical data and with results of othertheoretical studies of the considered quantities. Although in some instancesthe results obtained for the studied ratio and the symmetry energy componentsare rather close in both schemes, the new scheme II leads to more realisticvalues that agree better with the empirical data and exhibits conceptual andoperational advantages.

Nuclear symmetry energy components and their ratio: A new approach within the coherent density fluctuation model