Pseudospin symmetry and spin symmetry in the relativistic Woods–Saxon

Xu, Q.; Zhu, S. J.

doi:10.1016/j.nuclphysa.2006.01.002

Cited by 54 publications

(34 citation statements)

References 24 publications

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“…For more realistic nuclear systems, the quality of the pseudospin symmetry is increased in the framework of the single-particle relativistic models and hence the competition between the pseudo-centrifugal barrier and the pseudospin-orbital potential is completed in the onset of pseudospin symmetry [11]. The Dirac equation with the pseudospin symmetry is solved numerically for nucleons which move independently in the relativistic mean field with external scalar and vector potentials [12,13]. In addition to the numerical solutions, some analytical solutions are also discussed for solving the Dirac equation for some realistic potentials [14][15][16][17] with the pseudospin symmetry.…”

Section: Introductionmentioning

confidence: 99%

Spin and pseudospin symmetry along with orbital dependency of the Dirac–Hulthén problem

Ikhdair

Berkdemir

Sever

2011

Applied Mathematics and Computation

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a b s t r a c tThe role of the Hulthén potential on the spin and pseudospin symmetry solutions is investigated systematically by solving the Dirac equation with attractive scalar SðrÞ and repulsive vector VðrÞ potentials. The spin and pseudospin symmetry along with orbital dependency (pseudospin-orbit and spin-orbit dependent couplings) of the Dirac equation are included to the solution by introducing the Hulthén-square approximation. This effective approach is based on forming the spin and pseudo-centrifugal kinetic energy term from the square of the Hulthén potential. The analytical solutions of the Dirac equation for the Hulthén potential with the spin-orbit and pseudospin-orbit-dependent couplings are obtained by using the Nikiforov-Uvarov (NU) method. The energy eigenvalue equations and wave functions for various degenerate states are presented for several spin-orbital, pseudospin-orbital and radial quantum numbers under the condition of the spin and pseudospin symmetry.

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Section: Introductionmentioning

confidence: 99%

Spin and pseudospin symmetry along with orbital dependency of the Dirac–Hulthén problem

Ikhdair

Berkdemir

Sever

2011

Applied Mathematics and Computation

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“…An overview of the P-spin symmetry can be found in Ref. [15][16][17][18][19][20][21][22][23][24]. Lisbon et al, [12] have studied a generalized relativistic harmonic oscillator for spin-½ particles by considering a Dirac Hamiltonian that contains quadratic spin and P-spin symmetric limits.…”

Section: Introductionmentioning

confidence: 99%

Relativistic Studies of Dirac Equation with a Spin-orbit Coupled Hulthen Potential including a Coulomb-like Tensor Interaction

Antia¹

2019

J Apl Theol

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The relativistic symmetries of Dirac equation with a spinorbit coupled with Hulthen potential under Coulomb-like tensor interaction have studied. The energy eigenvalues and the corresponding eigenfunctions of this system for the spin and pseudospin symmetries have also been obtained using the parametric generalization of Nikiforov-Uvarov method. Also, in this work, the numerical bound state energy for pseudospin symmetry with fixed pseudo coupling constant has been computed.

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“…Since the solutions of the Dirac equation with physical potential are very useful to investigate the relativistic effects, especially a strong coupling system [1]. Recently, some authors have been solved approximately the Dirac equation for some potentials like the Eckart potential [2], Resen-Morse potential [3], Poschl-Teller potential [4,5], Woods-Saxon potential [6], Scarf potential [7,8], etc. The spin and pseudo-spin symmetry concepts in nuclear theory [9,10], have been used to explain the features of deformed nuclei [11], super-deformation [12], and also to establish an effective nuclear shell-model scheme [13].…”

Section: Introductionmentioning

confidence: 99%

Pseudo-spin Symmetry in Dirac-Four-Parameter Diatomic Problem Coupled with a Coulomb-like Tensor potential

Eshghi

2012

BIBECHANA

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In this work, we use the parametric generalization of the Nikiforov-Uvarov method to obtain the relativistic bound state energy spectrum and the corresponding spinor wave-functions for four-parameter diatomic potential coupled with a Coulomb-like tensor under the condition of the pseudo-spin symmetry. Also, some numerical results have given.Keywords: Dirac equation; four-parameter diatomic potential; Coulomb-like tensorDOI: http://dx.doi.org/10.3126/bibechana.v8i0.4879BIBECHANA 8 (2012) 23-30

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Pseudospin symmetry and spin symmetry in the relativistic Woods–Saxon

Cited by 54 publications

References 24 publications

Spin and pseudospin symmetry along with orbital dependency of the Dirac–Hulthén problem

Spin and pseudospin symmetry along with orbital dependency of the Dirac–Hulthén problem

Relativistic Studies of Dirac Equation with a Spin-orbit Coupled Hulthen Potential including a Coulomb-like Tensor Interaction

Pseudo-spin Symmetry in Dirac-Four-Parameter Diatomic Problem Coupled with a Coulomb-like Tensor potential

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