Considering the Light Nuclei in the Cluster Model from NU Method

Sahar Aslanzadeh; Mohammad Reza Shojaei; Ali Asghar Mowlavi

doi:doi:10.11648/j.wjap.20180304.11

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Considering the Light Nuclei in the Cluster Model from NU Method

Sahar Aslanzadeh, Mohammad Reza Shojaei, Ali Asghar Mowlavi

Published in World Journal of Applied Physics (Volume 3, Issue 4)

Received: 9 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.

Published in	World Journal of Applied Physics (Volume 3, Issue 4)
DOI	10.11648/j.wjap.20180304.11
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), 2019. Published by Science Publishing Group

Keywords

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

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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://article.sciencepublishinggroup.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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Author Information

Sahar Aslanzadeh

Departement of Physics, Shahrood University of Technology, Shahrood, Iran
Mohammad Reza Shojaei

Departement of Physics, Shahrood University of Technology, Shahrood, Iran
Ali Asghar Mowlavi

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

Copy | Download

@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://article.sciencepublishinggroup.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}
}

Copy | Download

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  -

Copy | Download