Study of Single Particle Energy Levels by Using Woods-Saxon Potential and its Approximate Solution in Harmonic Oscillator Basis

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Rahimian Naeme; Alavi S. Alireza; Dehghani Vahid

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Journal Paper

Paper Information

Journal: JOURNAL OF RESEARCH ON MANY BODY SYSTEMS Year:2019 | Volume:9 | Issue:1 Page(s): 75-87

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Title

Study of Single Particle Energy Levels by Using Woods-Saxon Potential and its Approximate Solution in Harmonic Oscillator Basis

Author(s)

Rahimian Naeme | Alavi S. Alireza | Dehghani Vahid | Issue Writer Certificate

Keywords

Woods-Saxon potentialQ1

harmonic oscillatorQ1

mean-fieldQ1

Abstract

In this investigation, the approximate solution of Schrodinger equation with mean field Woods-Saxon potential in harmonic oscillator basis has been given. The eigen value energy and corresponding eigen function of bound single particle neutron and proton energy levels for some light, medium weight, and heavy nuclei were determined. Obtained results were compared with numerical solution of Schrodinger equation and good agreements were observed between two methods. By using Nikiforov-Uvarov (NU) method and considering boundary conditions the analytics and accurate solution of Schrodinger equation with Woods-Saxon potential have been represented for S-state neutron single particle. The energy levels for some light, medium weight, and heavy nuclei were calculated. Obtained results showed that the value of energy levels is strictly dependent to the adjustable parameters of Woods-Saxon potential and method of calculation. Such that by increase of atomic number and principle quantum number the discrepancy between calculated data by using numerical solution and analytic solution with different set of adjustable parameters is increased.

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APA: Copy

Rahimian, Naeme, Alavi, S. Alireza, & Dehghani, Vahid. (2019). Study of Single Particle Energy Levels by Using Woods-Saxon Potential and its Approximate Solution in Harmonic Oscillator Basis. JOURNAL OF RESEARCH ON MANY BODY SYSTEMS, 9(1 ), 75-87. SID. https://sid.ir/paper/380660/en

Vancouver: Copy

Rahimian Naeme, Alavi S. Alireza, Dehghani Vahid. Study of Single Particle Energy Levels by Using Woods-Saxon Potential and its Approximate Solution in Harmonic Oscillator Basis. JOURNAL OF RESEARCH ON MANY BODY SYSTEMS[Internet]. 2019;9(1 ):75-87. Available from: https://sid.ir/paper/380660/en

IEEE: Copy

Naeme Rahimian, S. Alireza Alavi, and Vahid Dehghani, “Study of Single Particle Energy Levels by Using Woods-Saxon Potential and its Approximate Solution in Harmonic Oscillator Basis,” JOURNAL OF RESEARCH ON MANY BODY SYSTEMS, vol. 9, no. 1 , pp. 75–87, 2019, [Online]. Available: https://sid.ir/paper/380660/en

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