Dirac equation for the Hulthén potential within the Yukawa-type tensor interaction

Aydoğdu, Oktay; Maghsoodi, E.; Hassanabadi, H.

doi:10.1088/1674-1056/22/1/010302

Cited by 50 publications

(49 citation statements)

References 56 publications

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“…In spherical coordinates, the Dirac equation for fermionic massive spin− 1 2 particles interacting with arbitrary scalar potential S(r), the time-component V (r) of a four-vector potential can be expressed as ( [14,15,59,60], and Refs. therein)…”

mentioning

confidence: 99%

κ state solutions for the fermionic massive spin-½ particles interacting with double ring-shaped Kratzer and oscillator potentials

Oyewumi

Falaye

Onate

et al. 2014

Int. J. Mod. Phys. E

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In recent years, an extensive survey on various wave equations of relativistic quantum mechanics with different types of potential interactions has been a line of great interest. In this regime, special attention has been given to the Dirac equation because the spin-1/2 fermions represent the most frequent building blocks of the molecules and atoms. Motivated by the considerable interest in this equation and its relativistic symmetries (spin and pseudospin) in the presence of solvable potential model, we attempt to obtain the relativistic bound states solution of the Dirac equation with double ring-shaped Kratzer and oscillator potentials under the condition of spin and pseudospin symmetries. The solutions are reported for arbitrary quantum number in a compact form. the analytic bound state energy eigenvalues and the associated upper-and lower-spinor components of two Dirac particles have been found. Several typical numerical results of the relativistic eigenenergies have also been presented. We found that the existence or absence of the ring shaped potential potential has strong effects on the eigenstates of the Kratzer and oscillator particles with a wide band spectrum except for the pseudospin-oscillator particles where there exist a narrow band gap.

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mentioning

confidence: 99%

κ state solutions for the fermionic massive spin-½ particles interacting with double ring-shaped Kratzer and oscillator potentials

Oyewumi

Falaye

Onate

et al. 2014

Int. J. Mod. Phys. E

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“…On the other hand, the efficacy of the tensor potential on spin (pseudospin) doublets has been recently studied [30][31][32][33][34][35][36].…”

Section: D(s(r)−v(r)) Drmentioning

confidence: 99%

“…Those authors [30][31][32][33][34][35][36] showed that the tensor potential removes degeneracies between the energy states that form a pseudospin or spin doublet.…”

Section: D(s(r)−v(r)) Drmentioning

confidence: 99%

Spin (Pseudospin) doublet in view of energy-dependent potential

Saltı¹,

Aydoğdu²

2017

Turk J Phys

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Abstract:Behavior of Dirac particles in the presence of scalar, vector, and tensor potentials respectively represented by energy-dependent Morse and Coulomb-like potentials is examined by working out the Dirac equation under the condition of spin (pseudospin) symmetry. The closed form of the energy eigenvalue equation and corresponding wave functions in terms of hypergeometric functions are acquired by making use of the asymptotic iteration method. We investigate the effect of energy-dependent potential on both bound states and energy splitting between members of spin (pseudospin) doublets.

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“…The potential has successfully accounted for some of the existing data in nuclear, particle, atomic, condensed matter, and chemical physics and has therefore been the subject of some related works in both nonrelativistic and relativistic regimes [23][24][25][26]. The Hulthén potential is a special case of the ManningRosen potential.…”

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confidence: 99%

Pseudospin Symmetry of the Position-Dependent Mass Dirac Equation for the Hulthén Potential and Yukawa Tensor Interaction

et al. 2015

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Dirac equation for the Hulthén potential within the Yukawa-type tensor interaction

Cited by 50 publications

References 56 publications

κ state solutions for the fermionic massive spin-½ particles interacting with double ring-shaped Kratzer and oscillator potentials

κ state solutions for the fermionic massive spin-½ particles interacting with double ring-shaped Kratzer and oscillator potentials

Spin (Pseudospin) doublet in view of energy-dependent potential

Pseudospin Symmetry of the Position-Dependent Mass Dirac Equation for the Hulthén Potential and Yukawa Tensor Interaction

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