World Journal of Applied Physics

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Considering the Light Nuclei in the Cluster Model from NU Method

Received: 09 September 2018    Accepted: 27 September 2018    Published: 23 January 2019
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Abstract

In this work, the energy levels of light nuclei from the NU method are calculated and their structures are determined. Therefore, by using a local potential that is suitable for light nuclei and compatible with the Hafstad-Teller potential, the Schrodinger equation from NU method is solved and the energy levels and wave functions are obtained. For more accuracy, the spin-orbit and tensor potentials are added to the central potential as perturbation and the first-order energy correction is obtained for the different states of many alpha systems. So, we calculate the energy levels of nuclei 8Be and 16O and compare the obtained results with the experimental data and get a good agreement. This agreement is better for 16O than 8Be. Therefore, anybody can conclude that the α cluster model has the better results for the nuclei with the number of more alpha particles. Finally, by the strength of Coulomb’s repulsion, it is shown that the ground and first excited states of the 16O nucleus have the tetrahedral and square configurations, respectively. Also, it is obtained that the structures of the second and third excited states are as square and linear chain that these structures show the non-localized gas configuration for the higher excited states of 16O nucleus.

DOI 10.11648/j.wjap.20180304.11
Published in World Journal of Applied Physics (Volume 3, Issue 4, December 2018)
Page(s) 54-60
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Cluster Model, NU Method, Structure of Nuclei, Energy Levels

References
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Author Information
  • Departement of Physics, Shahrood University of Technology, Shahrood, Iran

  • Departement of Physics, Shahrood University of Technology, Shahrood, Iran

  • Physics Department, Hakim Sabzevari University, Sabzevar, Iran

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  • APA Style

    Sahar Aslanzadeh, Mohammad Reza Shojaei, Ali Asghar Mowlavi. (2019). Considering the Light Nuclei in the Cluster Model from NU Method. World Journal of Applied Physics, 3(4), 54-60. https://doi.org/10.11648/j.wjap.20180304.11

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    ACS Style

    Sahar Aslanzadeh; Mohammad Reza Shojaei; Ali Asghar Mowlavi. Considering the Light Nuclei in the Cluster Model from NU Method. World J. Appl. Phys. 2019, 3(4), 54-60. doi: 10.11648/j.wjap.20180304.11

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    AMA Style

    Sahar Aslanzadeh, Mohammad Reza Shojaei, Ali Asghar Mowlavi. Considering the Light Nuclei in the Cluster Model from NU Method. World J Appl Phys. 2019;3(4):54-60. doi: 10.11648/j.wjap.20180304.11

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  • @article{10.11648/j.wjap.20180304.11,
      author = {Sahar Aslanzadeh and Mohammad Reza Shojaei and Ali Asghar Mowlavi},
      title = {Considering the Light Nuclei in the Cluster Model from NU Method},
      journal = {World Journal of Applied Physics},
      volume = {3},
      number = {4},
      pages = {54-60},
      doi = {10.11648/j.wjap.20180304.11},
      url = {https://doi.org/10.11648/j.wjap.20180304.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.wjap.20180304.11},
      abstract = {In this work, the energy levels of light nuclei from the NU method are calculated and their structures are determined. Therefore, by using a local potential that is suitable for light nuclei and compatible with the Hafstad-Teller potential, the Schrodinger equation from NU method is solved and the energy levels and wave functions are obtained. For more accuracy, the spin-orbit and tensor potentials are added to the central potential as perturbation and the first-order energy correction is obtained for the different states of many alpha systems. So, we calculate the energy levels of nuclei 8Be and 16O and compare the obtained results with the experimental data and get a good agreement. This agreement is better for 16O than 8Be. Therefore, anybody can conclude that the α cluster model has the better results for the nuclei with the number of more alpha particles. Finally, by the strength of Coulomb’s repulsion, it is shown that the ground and first excited states of the 16O nucleus have the tetrahedral and square configurations, respectively. Also, it is obtained that the structures of the second and third excited states are as square and linear chain that these structures show the non-localized gas configuration for the higher excited states of 16O nucleus.},
     year = {2019}
    }
    

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  • TY  - JOUR
    T1  - Considering the Light Nuclei in the Cluster Model from NU Method
    AU  - Sahar Aslanzadeh
    AU  - Mohammad Reza Shojaei
    AU  - Ali Asghar Mowlavi
    Y1  - 2019/01/23
    PY  - 2019
    N1  - https://doi.org/10.11648/j.wjap.20180304.11
    DO  - 10.11648/j.wjap.20180304.11
    T2  - World Journal of Applied Physics
    JF  - World Journal of Applied Physics
    JO  - World Journal of Applied Physics
    SP  - 54
    EP  - 60
    PB  - Science Publishing Group
    SN  - 2637-6008
    UR  - https://doi.org/10.11648/j.wjap.20180304.11
    AB  - In this work, the energy levels of light nuclei from the NU method are calculated and their structures are determined. Therefore, by using a local potential that is suitable for light nuclei and compatible with the Hafstad-Teller potential, the Schrodinger equation from NU method is solved and the energy levels and wave functions are obtained. For more accuracy, the spin-orbit and tensor potentials are added to the central potential as perturbation and the first-order energy correction is obtained for the different states of many alpha systems. So, we calculate the energy levels of nuclei 8Be and 16O and compare the obtained results with the experimental data and get a good agreement. This agreement is better for 16O than 8Be. Therefore, anybody can conclude that the α cluster model has the better results for the nuclei with the number of more alpha particles. Finally, by the strength of Coulomb’s repulsion, it is shown that the ground and first excited states of the 16O nucleus have the tetrahedral and square configurations, respectively. Also, it is obtained that the structures of the second and third excited states are as square and linear chain that these structures show the non-localized gas configuration for the higher excited states of 16O nucleus.
    VL  - 3
    IS  - 4
    ER  - 

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