Kappa State Solutions of Dirac-Hulthen and Dirac-Eckart Problems with Pseudospin and Spin Symmetry

Conference on Nuclear Physic and Astrophysics - From Stable Beams to Exotic Nucle -- JUN 25-30, 2008 -- Cappadocia, TURKEYWOS: 000261875700062In this study, the analytical solutions of the Dirac equation have been presented for the Hulthen and Eckart potentials by applying an approximation to centrifugal-like term in the case of spin symmetry, Delta(r)=C=constant, and pseudospin symmetry, Sigma(r)=C=constant, for any spin-orbit quantum number x. The energy eigenvalues and corresponding spinor wave functions are obtained in the closed-forms.Erciyes Univ, Bozok Univ, Nigde Univ, Istanbul Univ, Turish Atom Energy Author, Turish Acad Sci, Sci & Technol Res Council Turkey, Univ WisconsinScientific and Technical Research Council of Turkey [TUBITAK TBAG-107T824]; Turkish Academy of Sciences [TUBA-GEBIP]We acknowledge the support of Scientific and Technical Research Council of Turkey (TUBITAK TBAG-107T824) and Turkish Academy of Sciences (TUBA-GEBIP)