Pseudospin symmetry in the relativistic Morse potential including the spin–orbit coupling term

Berkdemir, Cüneyt

doi:10.1016/j.nuclphysa.2006.03.001

Cited by 152 publications

(95 citation statements)

References 28 publications

(29 reference statements)

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“…In calculations, the AIM was used. We showed that our results are consistent with those presented [38][39][40][41] previously. The effect of energy-dependent potential on both bound states and pseudospin and spin doublets was also investigated.…”

Section: Discussionsupporting

confidence: 94%

“…It should be noted in Table 2 that energy splitting increases for γ 1 < 0 while decreasing for γ 1 ≥ 0. In the pseudospin symmetric case, the minimum value of C ps was determined as −10f m −1 in Berkdemir [38] and −9.96f m −1 in Bayrak and Boztosun [40] for the state 2f 7/2 . From Table 3, it is easily seen that this value is nearly −9.95f m −1 in the presence of potential without energy dependence.…”

Section: Spin Symmetrymentioning

confidence: 99%

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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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Section: Discussionsupporting

confidence: 94%

Section: Spin Symmetrymentioning

confidence: 99%

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

Saltı¹,

Aydoğdu²

2017

Turk J Phys

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“…The Morse potential with 0 ≠ is not exactly solvable and hence our numerical results cannot be checked against exact ones. However many numerical and perturbative results have been published in recent years [8][9][10][11][12][13][14][15][16][17][18]. The most widely used approximation was devised by Pekeris [4] which is based on the expansion of the centrifugal In Table 3 we show the bound states energy of the H 2 molecule for different values of the angular momentum generated by using the Laguerre basis with λ = 40, N = 100 and the model parameters in Table 1.…”

Section: Rotating Morse Potentialmentioning

confidence: 99%

The rotating Morse potential model for diatomic molecules in the tridiagonalJ-matrix representation: I. Bound states

Nasser¹,

Abdelmonem²,

Bahlouli³

et al. 2007

J. Phys. B: At. Mol. Opt. Phys.

106

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This is the first in a series of articles in which we study the rotating Morse potential model for diatomic molecules in the tridiagonal J-matrix representation. Here, we compute the bound states energy spectrum by diagonalizing the finite dimensional Hamiltonian matrix of H 2 , LiH, HCl and CO molecules for arbitrary angular momentum. The calculation was performed using the J-matrix basis that supports a tridiagonal matrix representation for the reference Hamiltonian. Our results for these diatomic molecules have been compared with available numerical data satisfactorily. The proposed method is handy, very efficient, and it enhances accuracy by combining analytic power with a convergent and stable numerical technique.

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“…and On substituting equation (18) into equation (16) with equations (17), (19) and (20) , the second-order differential equation is obtained as…”

Section: Spin Symmetry Solutions Of the Dirac Equation With The Rosenmentioning

confidence: 99%

“…Using equations (17), (19) and (20) in equation (25), an explicit expression for the energy eigenvalues of the Dirac equation with the Rosen-Morse potential under the spin symmetry condition is obtained as:…”

Section: Spin Symmetry Solutions Of the Dirac Equation With The Rosenmentioning

confidence: 99%

Approximate Solutions of the Dirac Equation for the Rosen-Morse Potential in the Presence of the Spin-Orbit and Pseudo-Orbit Centrifugal Terms

Oyewumi¹

2012

Theoretical Concepts of Quantum Mechanics

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1 2 ) and (n − 1, ℓ + 2, j = ℓ + 3 2 ), where n, ℓ and j are the single-nucleon radial, orbital and total angular momentum quantum numbers for a single particle, respectively (Arima et al., 1969;Hecht & Adler, 1969;Ginocchio, 2004 ). The total angular momentum is given as j = ℓ + s, where ℓ = ℓ + 1 is a pseudo-angular momentum and s = 1 2 is a pseudo-spin angular momentum. Meng et al., (1998) deduced that in real nuclei, the PSS is only an approximation and the quality of approximation depends on the pseudo-centrifugal potential and pseudo-spin orbital potential. The orbital and pseudo-orbital angular momentum quantum numbers for SS ℓ and PSS ℓ refer to the upper-and lower-spinor components (for instance, F n,κ (r) and G n,κ (r), respectively. Ginocchio (1997); (1999); (2004); (2005a); (2005b) and Meng et al., (1998) showed that SS occurs when the difference between the vector potential V(r) and scalar potential S(r) in the Dirac Hamiltonian is a constant (that is, ∆(r)=V(r) − S(r)) and PSS occurs when the sum of two potential is a constant (that is, Σ(r)=V(r)+S(r)). A large number of investigations have been carried out on the SS and PSS by solving the Dirac equation with various methods (Alberto et al

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Pseudospin symmetry in the relativistic Morse potential including the spin–orbit coupling term

Cited by 152 publications

References 28 publications

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

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

The rotating Morse potential model for diatomic molecules in the tridiagonalJ-matrix representation: I. Bound states

Approximate Solutions of the Dirac Equation for the Rosen-Morse Potential in the Presence of the Spin-Orbit and Pseudo-Orbit Centrifugal Terms

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