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

Journal Article · Tue Nov 11 00:00:00 EST 2008 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3039859· OSTI ID:21254832

Soylu, A ^[1]; Bayrak, O ^[2]; Boztosun, I ^[3]

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1. Department of Physics, Nigde University, Nigde (Turkey)
2. Department of Physics, Bozok University, Yozgat (Turkey)
3. Department of Physics, Erciyes University, Kayseri (Turkey)

In 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 {kappa}. The energy eigenvalues and corresponding spinor wave functions are obtained in the closed-forms.

• OSTI ID: 21254832
• Journal Information: AIP Conference Proceedings, Vol. 1072, Issue 1; Conference: International conference on nuclear physics and astrophysics: From stable beams to exotic nuclei, Cappadocia (Turkey), 25-30 Jun 2008; Other Information: DOI: 10.1063/1.3039859; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
APPROXIMATIONS
DIRAC EQUATION
EIGENVALUES
POTENTIALS
SPIN
SYMMETRY
WAVE FUNCTIONS