ANALYTICAL SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH THE WOODS–SAXON POTENTIAL FOR ARBITRARY l STATE

Badalov, V. H.; Ahmadov, H. I.; Ahmadov, A. I.

doi:10.1142/s0218301309012756

Cited by 63 publications

(64 citation statements)

References 16 publications

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“…This result is valid in a 3-dimensional space. Following the same path one can see [67,68] that the result is also valid in D dimensions, with the angular momentum l replaced by…”

Section: Spectrum Of the Modified Woods-saxon Potential With Centrifumentioning

confidence: 77%

Analytical solutions for the Bohr Hamiltonian with the Woods–Saxon potential

Capak

Petrellis

Gönül

et al. 2015

J. Phys. G: Nucl. Part. Phys.

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Abstract.Approximate analytical solutions in closed form are obtained for the 5-dimensional Bohr Hamiltonian with the Woods-Saxon potential, taking advantage of the Pekeris approximation and the exactly soluble one-dimensional extended Woods-Saxon potential with a dip near its surface. Comparison to the data for several γ-unstable and prolate deformed nuclei indicates that the potential can describe well the ground state and γ 1 bands of many prolate deformed nuclei corresponding to large enough "well size" and diffuseness, while it fails in describing the β 1 bands, due to its lack of a hard core, as well as in describing γ-unstable nuclei, because of the small "well size" and diffuseness they exhibit.

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“…This result is valid in a 3-dimensional space. Following the same path one can see [67,68] that the result is also valid in D dimensions, with the angular momentum l replaced by…”

Section: Spectrum Of the Modified Woods-saxon Potential With Centrifumentioning

confidence: 77%

Analytical solutions for the Bohr Hamiltonian with the Woods–Saxon potential

Capak

Petrellis

Gönül

et al. 2015

J. Phys. G: Nucl. Part. Phys.

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“…Klein-Gordon equations by means of Nikiforov-Uvarov method [12,13]. In our recent works [14,15], we have studied the relativistic Duffin-Kemmer-Petiau and the Dirac equation for dWS potential.…”

Section: Badalov Et Al Investigated Woods-saxon Potential In the Framentioning

confidence: 99%

Approximate Eigensolutions of the Deformed Woods—Saxon Potential via AIM

Ikhdair¹,

Falaye²,

Hamzavi³

2013

Chinese Phys. Lett.

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By using the Pekeris approximation, the Schrödinger equation is solved for the nuclear deformed Woods-Saxon potential within the framework of the asymptotic iteration method (AIM). The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of hypergeometric function. The deformed Woods-Saxon (dWS) potential is a short range potential and widely used in nuclear, particle, atomic, condensed matter and chemical physics [1][2][3][4][5][6][7]. This potential is reasonable for nuclear shell models and used to represent the distribution of nuclear densities.The dWS and spin-orbit interaction are important and applicable to deformed nuclei [8] and to strongly deformed nuclides [9]. The dWS potential parameterization at large deformations for plutonium 237,239,241 P u odd isotopes was analyzed [10]. The structure of single-particle states in

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“…With the help of the axially-deformed Woods-Saxon potential, we may construct the structure of single-particle shell model [20]. The standard Woods-Saxon potential is given by [13] …”

Section: Woods-saxon Potentialmentioning

confidence: 99%

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Feizi¹,

Shojaei²,

Rajabi³

2011

Acta Phys. Pol. B

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In this work, the three dimensional Woods-Saxon potential is studied within the context of Supersymmetry Quantum Mechanics. We have applied the SUSY method by using the Pekeris approximation to the centrifugal potential l = 0 states. By application of this method, it is possible to solve the Schrödinger equation for this potential. We obtain exactly bound state spectrum and wave function of Woods-Saxon potential for nonzero angular momentum. Hamiltonian hierarchy method and the shape invariance property are used in the calculations.

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ANALYTICAL SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH THE WOODS–SAXON POTENTIAL FOR ARBITRARY l STATE

Cited by 63 publications

References 16 publications

Analytical solutions for the Bohr Hamiltonian with the Woods–Saxon potential

Analytical solutions for the Bohr Hamiltonian with the Woods–Saxon potential

Approximate Eigensolutions of the Deformed Woods—Saxon Potential via AIM

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