https://doi.org/10.1140/epja/i2007-10515-2
Regular Article - Theoretical Physics
Pseudospin symmetry in the Dirac phenomenology
1
Departamento de Fısica Moderna, Universidad de Cantabria, E-39005, Santander, Spain
2
Departamento de Fısica Aplicada, Universidad de Cantabria, E-39005, Santander, Spain
3
Department of Physics, St. Petersburg University for Telecommunications, 191065, St. Petersburg, Russia
* e-mail: marcoss@unican.es
Received:
28
June
2007
Accepted:
7
January
2008
Published online:
24
January
2008
In the phenomenological relativistic framework of the Dirac equation for spherical nuclei, we use different kinds of single-particle central potentials ( ΣS + Σ0 to investigate certain aspects of the spin and pseudospin (PS) symmetries. Neither the splitting of PS doublets (PSDs) nor the similarity of the radial parts of the small components (F/r of the corresponding Dirac spinors have been found related with the magnitude of ΣS + Σ0 , in the sense predicted by several authors in the last decade. This conclusion is shown to be valid, in particular, for a potential of Coulomb type. We give a simple explanation for the strong correlation established in the relativistic calculations between the similarity of the radial parts of the big (small) components of the Dirac spinors of two spin (pseudospin) partners and the number of their nodes. The direct effects of the so-called PS symmetry-breaking term (and its singularity point) on the F functions of the PSDs are also analysed.
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 and Springer-Verlag, 2008