Determination of Energy Spectra By Using Proper Quantization Rule of Woods-Saxon Potential

Authors : Rezvan REZAEİZADEH, Niloufar ZOGHİFOUMANİ, Abbas GHASEMİZAD, Aybaba HANÇERLİOĞULLARI

Pages : 1287-1293

Doi:10.2339/politeknik.770330

View : 34 | Download : 13

Publication Date : 2021-09-01

Article Type : Research Paper

Abstract :In this study, the energy spectra of Schrodinger equation for non-zero l values considering Woods Saxon potential insert ignore into journalissuearticles values(WSP); is calculated using proper quantization rule, then the binding energies insert ignore into journalissuearticles values(BE); of random light nuclei is obtained and the optimized potential parameters such as potential depth insert ignore into journalissuearticles values(V0); and surface thickness insert ignore into journalissuearticles values(a); are found. In order to calculate the energy levels of the nuclei with WSP, the PQR method was used, which has not been considered before. In quantum mechanics, the exact solution of energy systems, momentum, and quantum states can be found using the proper quantization ruleinsert ignore into journalissuearticles values(PQR); method.Using the Matlab calculation program, we have achieved numerical values of the energy spectrum for random light nuclei and compared the result with the experimental Nuclear Data Center insert ignore into journalissuearticles values(NDC); values. In addition, we found potential depth and surface thickness for four light nuclei. Correlations between the light nuclei show the facts about the nuclear structure characteristics, origin, and energies of these nuclei. Pearson’s correlation coefficient is accepted as the most common correlation coefficient. According to the values of Pearson correlation coefficients, it is observed that there is a significant positive correlation between the nucleons examined. Finally, we plot the E-V0-a diagrams for those values to optimize and provide the appropriate coefficients. It is shown that there is a good agreement between the results of this work and experimental values.
Keywords : Schrodinger Equation, Woods Saxon Potential, Proper Quantization Rule, Binding Energy

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