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Approximate kappa-state solutions to the Dirac-Yukawa problem based on the spin and pseudospin symmetry (Ikhdair, Sameer M.,)

Bibliographical information (record 266045)

Approximate kappa-state solutions to the Dirac-Yukawa problem based on the spin and pseudospin symmetry
Author:	Ikhdair, Sameer M., Search Author in Amazon Books
Publisher:	Versita,

Edition:	2012.
Classification:	QC 21.3
URL:	http://library.neu.edu.tr:2048/login?url=http://dx.doi.org/10.2478/s11534-011-0121-5

Detailed notes

- Using an approximation scheme to deal with the centrifugal (pseudo-centrifugal) term, we solve the Dirac equation with the screened Coulomb (Yukawa) potential for any arbitrary spin-orbit quantum number kappa. Based on the spin and pseudospin symmetry, analytic bound state energy spectrum formulas and their corresponding upper- and lower-spinor components of two Dirac particles are obtained using a shortcut of the Nikiforov-Uvarov method. We find a wide range of permissible values for the spin symmetry constant C (s) from the valence energy spectrum of particle and also for pseudospin symmetry constant C (ps) from the hole energy spectrum of antiparticle. Further, we show that the present potential interaction becomes less (more) attractive for a long (short) range screening parameter alpha. To remove the degeneracies in energy levels we consider the spin and pseudospin solution of Dirac equation for Yukawa potential plus a centrifugal-like term. A few special cases such as the exact spin (pseudospin) symmetry Dirac-Yukawa, the Yukawa plus centrifugal-like potentials, the limit when alpha becomes zero (Coulomb potential field) and the non-relativistic limit of our solution are studied. The nonrelativistic solutions are compared with those obtained by other methods.