Pseudospin symmetry in the Dirac phenomenology |
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Authors: | S Marcos M López-Quelle R Niembro and L N Savushkin |
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Institution: | (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 |
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Abstract: | 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. |
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Keywords: | 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 |
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