Effect of curvature on nuclear surface energy

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Abstract
For nuclear matter described by the Skyrme Hamiltonian, treated in the Thomas-Fermi one-fluid approximation, an examination is made of the dependence on curvature of the nuclear surface energy and the surface-tension pressure. These quantities are related in a manner which depends on the definition of the surface position. This question is explored both analytically and numerically for the first four terms in the expansion in powers of the curvature. The second-order term in the expansion which depends on the difference of the principal curvatures is also evaluated. The contribution of these effects in the nuclear mass formula is discussed briefly.

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