Eur. Phys. J. A 17, 173-180 (2003)
DOI: 10.1140/epja/i2002-10150-5

Reliability of the pseudospin symmetry in atomic nuclei

S. Marcos¹, M. López-Quelle², R. Niembro¹, L.N. Savushkin³ and P. Bernardos<sup>4

1</sup>  Departamento de Física Moderna, Universidad de Cantabria, E-39005 Santander, Spain
²  Departamento de Física Aplicada, Universidad de Cantabria, E-39005 Santander, Spain
³  Department of Physics, St. Petersburg University for Telecommunications, 191065 St. Petersburg, Russia
⁴  Departamento de Matemática Aplicada y Ciencias de la Computación, Universidad de Cantabria, E-39005 Santander, Spain

Marcoss@unican.es

(Received: 22 July 2002 / Revised version: 28 January 2003 / Published online: 20 May 2003)

Abstract
The reliability of the pseudospin symmetry (PSS) in atomic nuclei is analyzed in the framework of the relativistic Hartree approach. We find that the nuclear surface strongly increases the effect of the pseudospin-orbit potential (PSOP), spoiling the possibility of the exact realization of the PSS even in the limit of a vanishing PSOP. It is also shown that the PSS cannot be explained by the fact that . New arguments to explain the PSS in finite nuclei are given. The important role the spin-orbit interaction plays in the achievement of the PSS is also discussed.

PACS
24.10.Jv - Relativistic models.
21.60.Cs - Shell model.
21.10.Pc - Single-particle levels and strength functions.
24.80.+y - Nuclear tests of fundamental interactions and symmetries.

© Società Italiana di Fisica, Springer-Verlag 2003