On relation between bulk, surface and curvature parts of nuclear binding energy within the model of hexagonal clusters

Abstract

Using the model of hexagonal clusters we express the surface, curvature and Gauss curvature coefficients of the nuclear binding energy in terms of its bulk coefficient. Using the derived values of these coefficients and a single fitting parameter we are able to reasonably well describe the experimental binding energies of nuclei with more than 100 nucleons. To improve the description of lighter nuclei we introduce the same correction for all the coefficients. In this way we determine the apparent values of the surface, curvature and Gauss curvature coefficients which may be used for infinite nuclear matter equation of state. This simple model allows us to fix the temperature dependence of all these coefficients, if the temperature dependence for the bulk term is known. The found estimates for critical temperature are well consistent both with experimental and with theoretical findings.

13 pages, 3 figures

References in corpus (3)

• Incompressibility in finite nuclei and nuclear matter
• Determination of the nuclear incompressibility from the rapidity-dependent elliptic flow in heavy-ion collisions at beam energies 0.4\emph{A} - 1.0\emph{A} GeV
• The Flow Constraint Influence on the Properties of Nuclear Matter Critical Endpoint

Cited by in corpus (3)

• Self-consistent Treatment of Quantum Gases of D-dimensional Hard Spheres Beyond the Van der Waals Approximation
• The concept of induced surface and curvature tensions and a unified description of the gas of hard discs and hard spheres
• Statistical Multifragmentation Model Within the Extended Morphological Thermodynamics Approach