The Folding Potential of Elastically Scattered d+ 24Mg Employing B3Y-Fetal Interaction within the Double Folding Model Framework

Authors

  • Raymond C Abenga Department of Pure and Applied Physics, Veritas University Abuja, Nigeria Author
  • Yahaya Y Ibrahim Department of Physics, Bayero University Kano, Nigeria Author
  • Idris D Adamu Department of Physics, Bayero University Kano, Nigeria Author

DOI:

https://doi.org/10.56919/2433.027

Keywords:

B3Y-Fetal, Cross-Section, Double-folding, Elastic Channel, Folding potential

Abstract

The analysis of the deuteron scattering from blobid0-37ade45b260200a6ea58ed490e34d932.png was performed in the elastic channel using the double-folding model to evaluate the optical potentials of the present study. Both the real and the imaginary parts of the optical potentials were computed using a mass-dependent interaction (B3Y-Fetal) in the double-folding formalism. The derived double-folding potentials were used to analyse the differential cross-sections of blobid1-37ade45b260200a6ea58ed490e34d932.png within the energy range of 60-170 MeV. With the derived optical potentials, the reaction and differential cross-sections of blobid1-37ade45b260200a6ea58ed490e34d932.png were extracted in the optical model. The plots of the computed differential cross-sections were made and the results were compared to those obtained experimentally to ascertain the suitability of the derived potentials and the B3Y-Fetal interaction.  In conclusion, the optical potentials obtained using the double-folding model with the B3Y-Fetal interaction were successful in reproducing the experimental data.

References

Abenga, R. C., Fiase, J. O., & Ibeh, G. J. (2020). Optical Model Analysis of α+(_ ^40)Ca at E_Lab= 104 and 141.7 MeV Using a Mass-Dependent M3Y-Type Effective Interaction. Nigerian Annals of Pure and Applied Science, 3(2), 252–260. DOI: https://doi.org/10.46912/napas.144

Abenga, R. C., Ibrahim, Y. Y., & Adamu, I. D. (2023). Double Folding Potential and the Deuteron-Nucleus Inelastic Scattering in the Optical Model Framework. Open Access Library Journal, 10, 1–16. DOI: https://doi.org/10.4236/oalib.1109550

Abenga, R. C., Yahaya, Y. I., & Adamu, I. D. (2021). Double Folding Potential of Deuteron Elastic Scattering on Target Nuclei in the Mass Range of 50≤ A ≤ 208 Using a Mass-Dependent Effective Interaction. Bayero Journal of Physics and Mathematical Sciences, 01(13), 1–14.

Amer, H. A., Amar, A., Hamada, S., Bondouk, I. I., & El-Hussiny, F. A. (2016). Optical and Double Folding Model Analysis for Alpha Particles Elastically Scattered from (_ ^9)Be and (_ ^11)B Nuclei at Different Energies. World Academy of Science, Engineering and Technology, Open Science Index 110, International Journal of Chemical and Molecular Engineering, 10(2), 161–166.

Anantaraman, N., Toki, H., & Bertsch, G. F. (1983). An Effective Interaction for Inelastic Scattering Derived from the Paris Potential. Nuclear Physics, Section A, 398(2), 269–278. DOI: https://doi.org/10.1016/0375-9474(83)90487-6

Bäumer, C., Bassini, R., van den Berg, A. M., De Frenne, D., Frekers, D., Hagemann, M., Hannen, V. M., Harakeh, M. N., Heyse, J., de Huu, M. A., Jacobs, E., Mielke, M., Rakers, S., Schmidt, R., Sohlbach, H., & Wörtche, H. J. (2001). Deuteron Elastic and Inelastic Scattering from (_ ^12)C, (_ ^24)Mg, and (_ ^58)Ni at 170 MeV. Physical Review C - Nuclear Physics, 63(3), 376011–376014. DOI: https://doi.org/10.1103/PhysRevC.63.037601

Behairy, K., Zakaria, M. M., & Hassanain, M. A. (2015). Elastic and Inelastic α -Scatterings from (_ ^58)Ni, (_ ^116)Sn, and (_ ^208)Pb Targets at 288, 340, 480, and 699 MeV. Brazilian Journal of Physics, 54(5), 1–5. DOI: https://doi.org/10.1007/s13538-015-0351-x

Brandan, M. E., & Satchler, G. R. (1997). The Interaction Between Light Heavy-Ions and What it Tells Us. Physics Reports, 285, 143–243. DOI: https://doi.org/10.1016/S0370-1573(96)00048-8

Burtebayev, N., Janseitov, D. M., Kerimkulov, Z., Alimov, D., Nassurlla, M., Valiolda, D. S., Mauyey, B., Demyanova, A. S., Hamada, S., & Aimaganbetov, A. (2020). Elastic and Inelastic Scattering of Deuterons from (_ ^13)C. Journal of Physics: Conference Series, 1555, 1–7. DOI: https://doi.org/10.1088/1742-6596/1555/1/012028

De Vries, H., De Jager, C. W., & De Vries, C. (1987). Nuclear Charge-Density-Distribution Parameters from Elastic Electron Scattering. Atomic Data and Nuclear Data Tables, 36(3), 495–536. DOI: https://doi.org/10.1016/0092-640X(87)90013-1

El-Attar, A. L., Farid, M. E., & El-Aref, M. G. (2008). Optical Model Analyses of Deuteron Inelastic Scattering. 9th International Conference for Nuclear Sciences and Applications, Sharm Al Sheikh (Egypt), 1239.

Farid, M. E. (2002). Heavy Ion Double Folding Cluster Optical Potentials. Physical Review C, 65(June), 11–13. DOI: https://doi.org/10.1103/PhysRevC.65.067303

Farid, M. E., Alsagheer, L., Alharbi, W. R., & Ibraheem, A. A. (2014). Analysis of Deuteron Elastic Scattering in the Framework of the Double Folding Optical Potential Model. Life Science Journal, 11(5), 208–216.

Farid, M. E., Mahmoud, Z. M. M., & Hassan, G. S. (2001). Analysis of Heavy Ions Elastic Scattering Using the Double Folding Cluster Model. Nuclear Physics A, 691, 671–690. DOI: https://doi.org/10.1016/S0375-9474(01)00587-5

Fiase, J. O., Devan, K. R. S., & Hosaka, A. (2002). Mass Dependence of M3Y-Type Interactions and the Effects of Tensor Correlations. Physical Review C - Nuclear Physics, 66(1), 014004–014010. DOI: https://doi.org/10.1103/PhysRevC.66.014004

Hagino, K., Takehi, T., & Takigawa, N. (2006). No-Recoil Approximation To The Knock-On Exchange Potential in the Double Folding Model for Heavy-Ion Collisions. Physical Review C - Nuclear Physics, 74(3), 2–5. DOI: https://doi.org/10.1103/PhysRevC.74.037601

Hamada, S., Bondok, I., & Abdelmoatmed, M. (2016). Double Folding Potential of Different Interaction Models for (_ ^16)O+(_ ^12)C Elastic Scattering. Brazilian Journal of Physics, 1–6. DOI: https://doi.org/10.1007/s13538-016-0450-3

Ibraheem, A. A. (2016). Analysis of Deuteron-Nucleus Scattering Using Sao Paulo Potential. Brazilian Journal of Physics, 46(6), 746–753. DOI: https://doi.org/10.1007/s13538-016-0453-0

Ibraheem, A. A., Branch, A., Farid, M. E., & Elshamy, E. F. (2023). Comprehensive Examination of the Elastic Scattering Angular Distributions of (_ ^10)C+(_ ^4)He, (_ ^27)Al, (_ ^58)Ni, and (_ ^208)Pb Using Various Potentials. Revista Mexicana Defisica, 69(June), 1–13. DOI: https://doi.org/10.31349/RevMexFis.69.031201

Khoa, D. T., & Von Oertzen, W. (1993). A Nuclear Matter Study Using the Density-Dependent M3Y Interaction. Physics Letters B, 304(12), 8–16. DOI: https://doi.org/10.1016/0370-2693(93)91391-Y

Khoa, D. T., Von Oertzen, W., & Ogloblin, A. A. (1996). Study of the Equation of State for Asymmetric Nuclear Matter and Interaction Potential Between Neutron-Rich Nuclei Using the Density-Dependent M3Y Interaction. Nuclear Physics A, 602, 98–132. DOI: https://doi.org/10.1016/0375-9474(96)00091-7

Kobos, A. M., Brown, B. A., Hodgson, P. E., Satchler, G. R., & Budzanowski, A. (1982). Folding Model Analysis of α-Particle Elastic Scattering with a Semirealistic Density-Dependent Effective Interaction. Nuclear Physics, Section A, 384(1–2), 65–87. DOI: https://doi.org/10.1016/0375-9474(82)90305-0

Kurkcuoglu, M. E., Aytekin, H., & Boztosun, I. (2006). An Investigation of the (_ ^16)O+(_ ^16)O Elastic Scattering by Using Alpha-Alpha Double Folding Potential in Optical Model Formalism. Modern Physics Letters A, 21(29), 2217–2232. DOI: https://doi.org/10.1142/S0217732306020512

Love, W. G., & Owen, L. W. (1975). Exchange Effects from Realistic Interactions in the Reformulated Optical Model. Nuclear Physics A, 239, 74–82. DOI: https://doi.org/10.1016/0375-9474(75)91133-1

Moharram, S. A., & El-Shal, A. O. (2002). Spin Polarized Cold and Hot Dense Neutron Matter. Turk Journal of Physics, 26, 167–177.

Olorunfunmi, S. D., & Olatinwo, A. S. (2023). Analysis of Elastic Scattering Cross Sections of (_ ^16)O on (_ ^27)Al and (_ ^154)Sm Using the Semi-Microscopic Double Folding Model. Ife Journal of Science, 25(2), 239–250. DOI: https://doi.org/10.4314/ijs.v25i2.4

Satchler, G. R. (1983). Direct Nuclear Reactions. Oxford University Press.

Satchler, G. R., & Love, W. G. (1979). Folding Model Potentials from Realistic Interactions for Heavy-Ion Scattering. Physics Reports (Review Section of Physics Letters), 55(3), 183–254. DOI: https://doi.org/10.1016/0370-1573(79)90081-4

Zang, G.-L., Zang, H.-Q., Liu, Z.-H., Zang, C.-L., Lin, C.-J., Yang, F., An, G.-P., Jia, H.-M., Wu, Z.-D., Xu, X.-X., Bai-Chun-Lin, & Yu, N. (2007). Double Folding Model Calculation Applied to the Real Part of Interaction Potential. High Energy Physics and Nuclear Physics, 13(7), 634–641.

Downloads

Published

2024-09-30

Issue

Section

Articles

How to Cite

Abenga, R. C., Ibrahim, Y. Y., & Adamu, I. D. (2024). The Folding Potential of Elastically Scattered d+ 24Mg Employing B3Y-Fetal Interaction within the Double Folding Model Framework. UMYU Scientifica, 3(3), 239-250. https://doi.org/10.56919/2433.027

Similar Articles

1-10 of 230

You may also start an advanced similarity search for this article.