Optical Model Analysis of Elastic Scattering of <sup>16</sup>O + <sup>12</sup>C

Isaiah Ochala

doi:doi:10.11648/j.ijamtp.20210701.11

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Optical Model Analysis of Elastic Scattering of ¹⁶O + ¹²C

Isaiah Ochala

Published in International Journal of Applied Mathematics and Theoretical Physics (Volume 7, Issue 1)

Received: 30 July 2020 Accepted: 28 August 2020 Published: 22 January 2021

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Abstract

This paper presents the optical model analysis of the elastic scattering of ¹⁶O + ¹²C at the incident energies of 608 and 1503 MeV using optical potentials derived from B3Y-Fetal effective interaction. Optical model (OM) analysis of the elastic data of this system at these incident energies has shown two of the four optical potentials, the DDB3Y1-Fetal (K=176 MeV) and BDB3Y1-Fetal (K=235 MeV), to give a better description of the elastic data than the BDB3Y2-and BDB3Y3-Fetal potentials, making them the best-fit folded potentials, in agreement with previous work done with the M3Y-Reid effective interaction in both identical and non-identical heavy ions. This is a conclusive and convincing confirmation of the concensus among Nuclear Physics scholars, based on OM analyses of heavy ions, that nuclear matter has an underlying soft equation of state. In addition, results of calculations herein have also shown the best-fit folded potentials, the DDB3Y1-and BDB3Y1-Fetal with-227.8 and-220.6 MeV at 608 MeV and-124.3 MeV and-120.5 MeV at 1503 MeV, respectively as the largest values at smaller inter-nuclear distances, to be in good agreement with their counterparts, the DDM3Y1-Reid and BDM3Y1-Reid, whose largest values at smaller inter-nuclear distances are-231.6 and-223.8 MeV at 608 MeV and-138.8 MeV and-134.2 MeV at 1503 MeV respec¬tively, in terms of magnitude, shape and trend. This is a further validation of the viability of the B3Y-Fetal, corroborating the findings of previous studies carried out with it. In the final analysis, the findings of this study have not shown the occurrence of distinctive features of refractive scattering such as Airy minima in the calculated cross sections at both 608 MeV and 1503 MeV in agreement with previous work.

Published in	International Journal of Applied Mathematics and Theoretical Physics (Volume 7, Issue 1)
DOI	10.11648/j.ijamtp.20210701.11
Page(s)	1-9
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

Optical Model, Folded Potentials, Elastic Scattering, Non-identical Heavy Ions, B3Y-Fetal Effective Interaction

References

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Isaiah Ochala. (2021). Optical Model Analysis of Elastic Scattering of 16O + 12C. International Journal of Applied Mathematics and Theoretical Physics, 7(1), 1-9. https://doi.org/10.11648/j.ijamtp.20210701.11

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Isaiah Ochala. Optical Model Analysis of Elastic Scattering of 16O + 12C. Int. J. Appl. Math. Theor. Phys. 2021, 7(1), 1-9. doi: 10.11648/j.ijamtp.20210701.11

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AMA Style

Isaiah Ochala. Optical Model Analysis of Elastic Scattering of 16O + 12C. Int J Appl Math Theor Phys. 2021;7(1):1-9. doi: 10.11648/j.ijamtp.20210701.11

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@article{10.11648/j.ijamtp.20210701.11,
  author = {Isaiah Ochala},
  title = {Optical Model Analysis of Elastic Scattering of 16O + 12C},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {7},
  number = {1},
  pages = {1-9},
  doi = {10.11648/j.ijamtp.20210701.11},
  url = {https://doi.org/10.11648/j.ijamtp.20210701.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20210701.11},
  abstract = {This paper presents the optical model analysis of the elastic scattering of 16O + 12C at the incident energies of 608 and 1503 MeV using optical potentials derived from B3Y-Fetal effective interaction. Optical model (OM) analysis of the elastic data of this system at these incident energies has shown two of the four optical potentials, the DDB3Y1-Fetal (K=176 MeV) and BDB3Y1-Fetal (K=235 MeV), to give a better description of the elastic data than the BDB3Y2-and BDB3Y3-Fetal potentials, making them the best-fit folded potentials, in agreement with previous work done with the M3Y-Reid effective interaction in both identical and non-identical heavy ions. This is a conclusive and convincing confirmation of the concensus among Nuclear Physics scholars, based on OM analyses of heavy ions, that nuclear matter has an underlying soft equation of state. In addition, results of calculations herein have also shown the best-fit folded potentials, the DDB3Y1-and BDB3Y1-Fetal with-227.8 and-220.6 MeV at 608 MeV and-124.3 MeV and-120.5 MeV at 1503 MeV, respectively as the largest values at smaller inter-nuclear distances, to be in good agreement with their counterparts, the DDM3Y1-Reid and BDM3Y1-Reid, whose largest values at smaller inter-nuclear distances are-231.6 and-223.8 MeV at 608 MeV and-138.8 MeV and-134.2 MeV at 1503 MeV respec¬tively, in terms of magnitude, shape and trend. This is a further validation of the viability of the B3Y-Fetal, corroborating the findings of previous studies carried out with it. In the final analysis, the findings of this study have not shown the occurrence of distinctive features of refractive scattering such as Airy minima in the calculated cross sections at both 608 MeV and 1503 MeV in agreement with previous work.},
 year = {2021}
}

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TY  - JOUR
T1  - Optical Model Analysis of Elastic Scattering of 16O + 12C
AU  - Isaiah Ochala
Y1  - 2021/01/22
PY  - 2021
N1  - https://doi.org/10.11648/j.ijamtp.20210701.11
DO  - 10.11648/j.ijamtp.20210701.11
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 1
EP  - 9
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20210701.11
AB  - This paper presents the optical model analysis of the elastic scattering of 16O + 12C at the incident energies of 608 and 1503 MeV using optical potentials derived from B3Y-Fetal effective interaction. Optical model (OM) analysis of the elastic data of this system at these incident energies has shown two of the four optical potentials, the DDB3Y1-Fetal (K=176 MeV) and BDB3Y1-Fetal (K=235 MeV), to give a better description of the elastic data than the BDB3Y2-and BDB3Y3-Fetal potentials, making them the best-fit folded potentials, in agreement with previous work done with the M3Y-Reid effective interaction in both identical and non-identical heavy ions. This is a conclusive and convincing confirmation of the concensus among Nuclear Physics scholars, based on OM analyses of heavy ions, that nuclear matter has an underlying soft equation of state. In addition, results of calculations herein have also shown the best-fit folded potentials, the DDB3Y1-and BDB3Y1-Fetal with-227.8 and-220.6 MeV at 608 MeV and-124.3 MeV and-120.5 MeV at 1503 MeV, respectively as the largest values at smaller inter-nuclear distances, to be in good agreement with their counterparts, the DDM3Y1-Reid and BDM3Y1-Reid, whose largest values at smaller inter-nuclear distances are-231.6 and-223.8 MeV at 608 MeV and-138.8 MeV and-134.2 MeV at 1503 MeV respec¬tively, in terms of magnitude, shape and trend. This is a further validation of the viability of the B3Y-Fetal, corroborating the findings of previous studies carried out with it. In the final analysis, the findings of this study have not shown the occurrence of distinctive features of refractive scattering such as Airy minima in the calculated cross sections at both 608 MeV and 1503 MeV in agreement with previous work.
VL  - 7
IS  - 1
ER  -

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Isaiah Ochala

Department of Physics, Faculty of Natural Sciences, Kogi State University, Anyigba, Nigeria

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Isaiah Ochala. (2021). Optical Model Analysis of Elastic Scattering of 16O + 12C. International Journal of Applied Mathematics and Theoretical Physics, 7(1), 1-9. https://doi.org/10.11648/j.ijamtp.20210701.11

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ACS Style

Isaiah Ochala. Optical Model Analysis of Elastic Scattering of 16O + 12C. Int. J. Appl. Math. Theor. Phys. 2021, 7(1), 1-9. doi: 10.11648/j.ijamtp.20210701.11

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AMA Style

Isaiah Ochala. Optical Model Analysis of Elastic Scattering of 16O + 12C. Int J Appl Math Theor Phys. 2021;7(1):1-9. doi: 10.11648/j.ijamtp.20210701.11

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@article{10.11648/j.ijamtp.20210701.11,
  author = {Isaiah Ochala},
  title = {Optical Model Analysis of Elastic Scattering of 16O + 12C},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {7},
  number = {1},
  pages = {1-9},
  doi = {10.11648/j.ijamtp.20210701.11},
  url = {https://doi.org/10.11648/j.ijamtp.20210701.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20210701.11},
  abstract = {This paper presents the optical model analysis of the elastic scattering of 16O + 12C at the incident energies of 608 and 1503 MeV using optical potentials derived from B3Y-Fetal effective interaction. Optical model (OM) analysis of the elastic data of this system at these incident energies has shown two of the four optical potentials, the DDB3Y1-Fetal (K=176 MeV) and BDB3Y1-Fetal (K=235 MeV), to give a better description of the elastic data than the BDB3Y2-and BDB3Y3-Fetal potentials, making them the best-fit folded potentials, in agreement with previous work done with the M3Y-Reid effective interaction in both identical and non-identical heavy ions. This is a conclusive and convincing confirmation of the concensus among Nuclear Physics scholars, based on OM analyses of heavy ions, that nuclear matter has an underlying soft equation of state. In addition, results of calculations herein have also shown the best-fit folded potentials, the DDB3Y1-and BDB3Y1-Fetal with-227.8 and-220.6 MeV at 608 MeV and-124.3 MeV and-120.5 MeV at 1503 MeV, respectively as the largest values at smaller inter-nuclear distances, to be in good agreement with their counterparts, the DDM3Y1-Reid and BDM3Y1-Reid, whose largest values at smaller inter-nuclear distances are-231.6 and-223.8 MeV at 608 MeV and-138.8 MeV and-134.2 MeV at 1503 MeV respec¬tively, in terms of magnitude, shape and trend. This is a further validation of the viability of the B3Y-Fetal, corroborating the findings of previous studies carried out with it. In the final analysis, the findings of this study have not shown the occurrence of distinctive features of refractive scattering such as Airy minima in the calculated cross sections at both 608 MeV and 1503 MeV in agreement with previous work.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Optical Model Analysis of Elastic Scattering of 16O + 12C
AU  - Isaiah Ochala
Y1  - 2021/01/22
PY  - 2021
N1  - https://doi.org/10.11648/j.ijamtp.20210701.11
DO  - 10.11648/j.ijamtp.20210701.11
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 1
EP  - 9
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20210701.11
AB  - This paper presents the optical model analysis of the elastic scattering of 16O + 12C at the incident energies of 608 and 1503 MeV using optical potentials derived from B3Y-Fetal effective interaction. Optical model (OM) analysis of the elastic data of this system at these incident energies has shown two of the four optical potentials, the DDB3Y1-Fetal (K=176 MeV) and BDB3Y1-Fetal (K=235 MeV), to give a better description of the elastic data than the BDB3Y2-and BDB3Y3-Fetal potentials, making them the best-fit folded potentials, in agreement with previous work done with the M3Y-Reid effective interaction in both identical and non-identical heavy ions. This is a conclusive and convincing confirmation of the concensus among Nuclear Physics scholars, based on OM analyses of heavy ions, that nuclear matter has an underlying soft equation of state. In addition, results of calculations herein have also shown the best-fit folded potentials, the DDB3Y1-and BDB3Y1-Fetal with-227.8 and-220.6 MeV at 608 MeV and-124.3 MeV and-120.5 MeV at 1503 MeV, respectively as the largest values at smaller inter-nuclear distances, to be in good agreement with their counterparts, the DDM3Y1-Reid and BDM3Y1-Reid, whose largest values at smaller inter-nuclear distances are-231.6 and-223.8 MeV at 608 MeV and-138.8 MeV and-134.2 MeV at 1503 MeV respec¬tively, in terms of magnitude, shape and trend. This is a further validation of the viability of the B3Y-Fetal, corroborating the findings of previous studies carried out with it. In the final analysis, the findings of this study have not shown the occurrence of distinctive features of refractive scattering such as Airy minima in the calculated cross sections at both 608 MeV and 1503 MeV in agreement with previous work.
VL  - 7
IS  - 1
ER  -

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