Pseudospin and spin symmetry in the Dirac equation with Woods-Saxon potential and tensor potential

Sever, Ramazan
The Dirac equation is solved approximately for the Woods-Saxon potential and a tensor potential with the arbitrary spin-orbit coupling quantum number kappa under pseudospin and spin symmetry. The energy eigenvalues and the Dirac spinors are obtained in terms of hypergeometric functions. The energy eigenvalues are calculated numerically.


Magnetic properties of multiband U=infinity Hubbard model on anisotropic triangular and rectangular lattice strips
CHERANOVSKII, VO; Esentürk, Okan; PAMUK, HO (1998-11-01)
We study the dependence of the ground state spin of a multiband Hubbard model with infinite electron repulsion on anisotropic triangular and rectangular lattice strips on the model parameters. Considering the results of numerical calculations for the exact spectra of finite triangular lattice strips at different values of hopping integrals, we show the existence of a type of magnetic transitions with the jump of the ground state spin between minimal and maximal values. This transition is found only for spec...
Exact Pseudospin Symmetric Solution of the Dirac Equation for Pseudoharmonic Potential in the Presence of Tensor Potential
AYDOĞDU, OKTAY; Sever, Ramazan (Springer Science and Business Media LLC, 2010-04-01)
Under the pseudospin symmetry, we obtain exact solution of the Dirac equation for the pseudoharmonic potential in the presence of the tensor potential with arbitrary spin-orbit coupling quantum number kappa. The energy eigenvalue equation of the Dirac particles is found and the corresponding radial wave functions are presented in terms of confluent hypergeometric functions. We investigate the tensor potential dependence of the energy of the each state in the pseudospin doublet. It is shown that degeneracy b...
Strong Coupling Constants of Negative Parity Heavy Baryons with pi and K Mesons
Alıyev, Tahmasıb; Bilmiş, Selçuk; Savcı, Mustafa (2017-01-01)
The strong coupling constants of negative parity heavy baryons belonging to sextet and antitriplet representations of SUf(3) with light pi and K mesons are estimated within the light cone QCD sum rules. It is observed that each class of the sextet-sextet, sextet-antitriplet, and antitriplet-antitriplet transitions can be described by only one corresponding function. The pollution arising from the positive to positive, positive to negative, and negative to positive parity baryons transitions is eliminated by...
Pseudospin and Spin Symmetric Solutions of the Dirac Equation: Hellmann Potential, Wei-Hua Potential, Varshni Potential
Arda, Altug; Sever, Ramazan (Walter de Gruyter GmbH, 2014-03-01)
Approximate analytical solutions of the Dirac equation are obtained for the Hellmann potential, the Wei-Hua potential, and the Varshni potential with any K-value for the cases having the Dirac equation pseudospin and spin symmetries. Closed forms of the energy eigenvalue equations and the spinor wave functions are obtained by using the Nikiforov-Uvarov method and some tables are given to see the dependence of the energy eigenvalues on different quantum number pairs (n, K).
Tensor form factors of B -> K-1 transition from QCD light cone sum rules
Alıyev, Tahmasıb; Savcı, Mustafa (Elsevier BV, 2011-05-30)
The tensor form factors of B into p-wave axial vector meson transition are calculated within light cone QCD sum rules method. The parametrizations of the tensor form factors based on the series expansion are presented.
Citation Formats
O. AYDOĞDU and R. Sever, “Pseudospin and spin symmetry in the Dirac equation with Woods-Saxon potential and tensor potential,” EUROPEAN PHYSICAL JOURNAL A, pp. 73–81, 2010, Accessed: 00, 2020. [Online]. Available: