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

In this study, the energy spectra of Schrodinger equation for non-zero l values considering Woods Saxon potential (WSP) is calculated using proper quantization rule, then the binding energies (BE) of random light nuclei is obtained and the optimized potential parameters such as potential depth (V0) and surface thickness (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 rule(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 (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.

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

In this study, the energy spectra of Schrodinger equation for non-zero l values considering Woods Saxon potential (WSP) is calculated using proper quantization rule, then the binding energies (BE) of random light nuclei is obtained and the optimized potential parameters such as potential depth (V0) and surface thickness (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 rule(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 (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.

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Bibtex @araştırma makalesi { politeknik770330, journal = {Politeknik Dergisi}, eissn = {2147-9429}, address = {Gazi Üniversitesi Teknoloji Fakültesi 06500 Teknikokullar - ANKARA}, publisher = {Gazi Üniversitesi}, year = {2021}, volume = {24}, number = {3}, pages = {1287 - 1293}, doi = {10.2339/politeknik.770330}, title = {Determination of Energy Spectra By Using Proper Quantization Rule of Woods-Saxon Potential}, key = {cite}, author = {Rezaeizadeh, Rezvan and Zoghi-foumani, Niloufar and Ghasemizad, Abbas and Hançerlioğulları, Aybaba} }
APA Rezaeizadeh, R. , Zoghi-foumani, N. , Ghasemizad, A. & Hançerlioğulları, A. (2021). Determination of Energy Spectra By Using Proper Quantization Rule of Woods-Saxon Potential . Politeknik Dergisi , 24 (3) , 1287-1293 . DOI: 10.2339/politeknik.770330
MLA Rezaeizadeh, R. , Zoghi-foumani, N. , Ghasemizad, A. , Hançerlioğulları, A. "Determination of Energy Spectra By Using Proper Quantization Rule of Woods-Saxon Potential" . Politeknik Dergisi 24 (2021 ): 1287-1293 <
Chicago Rezaeizadeh, R. , Zoghi-foumani, N. , Ghasemizad, A. , Hançerlioğulları, A. "Determination of Energy Spectra By Using Proper Quantization Rule of Woods-Saxon Potential". Politeknik Dergisi 24 (2021 ): 1287-1293
RIS TY - JOUR T1 - Determination of Energy Spectra By Using Proper Quantization Rule of Woods-Saxon Potential AU - Rezvan Rezaeizadeh , Niloufar Zoghi-foumani , Abbas Ghasemizad , Aybaba Hançerlioğulları Y1 - 2021 PY - 2021 N1 - doi: 10.2339/politeknik.770330 DO - 10.2339/politeknik.770330 T2 - Politeknik Dergisi JF - Journal JO - JOR SP - 1287 EP - 1293 VL - 24 IS - 3 SN - -2147-9429 M3 - doi: 10.2339/politeknik.770330 UR - Y2 - 2020 ER -
EndNote %0 Politeknik Dergisi Determination of Energy Spectra By Using Proper Quantization Rule of Woods-Saxon Potential %A Rezvan Rezaeizadeh , Niloufar Zoghi-foumani , Abbas Ghasemizad , Aybaba Hançerlioğulları %T Determination of Energy Spectra By Using Proper Quantization Rule of Woods-Saxon Potential %D 2021 %J Politeknik Dergisi %P -2147-9429 %V 24 %N 3 %R doi: 10.2339/politeknik.770330 %U 10.2339/politeknik.770330
ISNAD Rezaeizadeh, Rezvan , Zoghi-foumani, Niloufar , Ghasemizad, Abbas , Hançerlioğulları, Aybaba . "Determination of Energy Spectra By Using Proper Quantization Rule of Woods-Saxon Potential". Politeknik Dergisi 24 / 3 (Eylül 2021): 1287-1293 .
AMA Rezaeizadeh R. , Zoghi-foumani N. , Ghasemizad A. , Hançerlioğulları A. Determination of Energy Spectra By Using Proper Quantization Rule of Woods-Saxon Potential. Politeknik Dergisi. 2021; 24(3): 1287-1293.
Vancouver Rezaeizadeh R. , Zoghi-foumani N. , Ghasemizad A. , Hançerlioğulları A. Determination of Energy Spectra By Using Proper Quantization Rule of Woods-Saxon Potential. Politeknik Dergisi. 2021; 24(3): 1287-1293.
IEEE R. Rezaeizadeh , N. Zoghi-foumani , A. Ghasemizad ve A. Hançerlioğulları , "Determination of Energy Spectra By Using Proper Quantization Rule of Woods-Saxon Potential", Politeknik Dergisi, c. 24, sayı. 3, ss. 1287-1293, Eyl. 2021, doi:10.2339/politeknik.770330
Politeknik Dergisi
  • ISSN: 1302-0900
  • Yayın Aralığı: Yılda 4 Sayı
  • Başlangıç: 1998

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