2019 Impact factor 2.176
Hadrons and Nuclei

Eur. Phys. J. A 14, 179-190 (2002)
DOI: 10.1140/epja/i2000-10157-x

Nuclear mean fields through self-consistent semiclassical calculations

J. Bartel1 and K. Bencheikh2

1  Institut de Recherches Subatomique and Université Louis Pasteur Strasbourg, France
2  Departement de Physique, Faculté des Sciences, Université de Setif, Setif 19000, Algeria


(Received: 12 February 2000 / Revised version: 15 February 2002 Communicated by P. Schuck)

Semiclassical expansions derived in the framework of the Extended Thomas-Fermi approach for the kinetic energy density $\tau(\arrowvec{r}\,)$ and the spin-orbit density $\arrowvec{J}(\arrowvec{r}\,)$ as functions of the local density $\rho(\arrowvec{r}\,)$ are used to determine the central nuclear potentials $V_n(\arrowvec{r}\,)$ and $V_p(\arrowvec{r}\,)$ of the neutron and proton distribution for effective interactions of the Skyrme type. We demonstrate that the convergence of the resulting semiclassical expansions for these potentials is fast and that they reproduce quite accurately the corresponding Hartree-Fock average fields.

31.15.Ne - Self-consistent-field methods.
31.15.Gy - Semiclassical methods.
21.60.-n - Nuclear-structure models and methods.

© Società Italiana di Fisica, Springer-Verlag 2002