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Origin of the pseudospin symmetry in the relativistic formalism

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Abstract.

The grounds on which the nuclear pseudospin symmetry (PSS) is supposed to be based are analysed within the relativistic mean-field framework. A connection between the mechanisms responsible for the spin-orbit and pseudospin-orbit splittings is shown. The nature of the PSS is investigated through an extended Dirac equation which allows a generalization of the PSS breaking term. It is shown that the PSS breaking in real nuclei can be explained as a result of a non-perturbative transformation from non-physical solutions of the Dirac equation, which satisfy exactly the PSS, to the physical ones. The PSS breaking term produces important, though qualitatively similar, effects on both states of a pseudospin-orbit doublet. The similarity of these effects increases with the number of nodes of the small component of the Dirac spinor of these states.

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Authors and Affiliations

  1. Departamento de Física Moderna, Universidad de Cantabria, E-39005, Santander, Spain

    S. Marcos & R. Niembro

  2. Departamento de Física Aplicada, Universidad de Cantabria, E-39005, Santander, Spain

    M. López-Quelle

  3. Department of Physics, St. Petersburg University for Telecommunications, 191065, St. Petersburg, Russia

    L. N. Savushkin

Authors
  1. S. Marcos
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  2. M. López-Quelle
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  3. R. Niembro
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  4. L. N. Savushkin
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Corresponding author

Correspondence to S. Marcos.

Additional information

Communicated by V. Vento

Received: 28 April 2003, Revised: 30 October 2003, Published online: 18 June 2004

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

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Marcos, S., López-Quelle, M., Niembro, R. et al. Origin of the pseudospin symmetry in the relativistic formalism. Eur. Phys. J. A 20, 443–455 (2004). https://doi.org/10.1140/epja/i2003-10160-9

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  • DOI: https://doi.org/10.1140/epja/i2003-10160-9

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