Semiclassical treatment of the Dirac sea contribution for finite nuclei

Details Semiclassical treatment of the Dirac sea contribution for finite nuclei Semiclassical treatment of the Dirac sea contribution for finite nuclei

1996-01-23

arxiv.org/abs/nucl-th/9601033v1

Phys.Lett. B383 (1996) 9-14

Physics

Nuclear Physics

Nuclear Theory

LaTeX, 11 pages

Scientific paper

10.1016/0370-2693(96)00717-4

Dirac sea corrections for bulk properties of finite nuclei are computed within a self-consistent scheme in the $\sigma$-$\omega$ model. The valence part is treated in the Hartree approximation whereas the sea contribution is evaluated semiclassically up to fourth order in $\hbar$. Numerically, we find a quick convergence of the semiclassical expansion; the fourth order contributing much less than one percent to the binding energy per nucleon.

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