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2012 | 10 | 2 | 361-381
Tytuł artykułu

Approximate κ-state solutions to the Dirac-Yukawa problem based on the spin and pseudospin symmetry

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Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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 κ. 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 α. 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 α 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.
Wydawca
Czasopismo
Rocznik
Tom
10
Numer
2
Strony
361-381
Opis fizyczny
Daty
wydano
2012-04-01
online
2012-03-31
Twórcy
Bibliografia
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Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-011-0121-5
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