Leptodermous expansion of finite-nucleus incompressibility

doi:10.1016/0375-9474(90)90049-R

Nuclear Physics A

Volume 516, Issue 1, 17 September 1990, Pages 62-76

https://doi.org/10.1016/0375-9474(90)90049-R Get rights and content

Abstract

We consider the influence of higher-order terms in the leptodennous expansion used to extract the incompressibility K_ν of infinite nuclear matter from data on the breathing mode of finite nuclei. The terms we calculate are the curvature term $K_{cv} A^{−23}$ , the surface-symmetry term $K_{ss} I^{2}^{−13}$ , the quaitic volume-symmetry term K₄I⁴, and a Coulomb-exchange term. Working within the framework of the scaling model we derive expressions for their coefficients in terms of quantities that are defined for infinite and semi-infinite nuclear matter. We calculate these coefficients for four different Skyrme-type forces, using the extended Thomas-Fermi (ETF) approximation. With the same forces we also calculate the incompressibility K(A,I) for a number of finite nuclei, fit the results to the leptodennous expansion, and thereby extract new results for the same coefficients. The comparison of the two calculations shows that the leptodennous expansion is converging rapidly. Of the new terms, the term K₄I⁴ is quite negligible, the curvature term should be included, and we discuss to what extent the other higher-order terms are significant.

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^☆: Supported in part by NSERC of Canada.

¹: Permanent address: Department of Physics, Khallikote College, Berhampur, 760001 India.

²: Permanent address: Université de Montréal.

³: Present address: Laboratoire de Spectroscopie Nucléaire, Université de Nantes, 44072 Nantes, France.

⁴: Fellow of the A. von Humboldt Foundation.

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Leptodermous expansion of finite-nucleus incompressibility☆

Abstract

Phys. Rev. Lett.

Ann. of Phys.

Phys. Reports

Nucl. Phys.

Phys. Rev.

Phys. Reports

Ann. of Phys.

Ann. of Phys.

Nucl. Phys.