A new formula to calculate nuclear binding energies for some nuclei around the closed core

Alhoulami, Nawras

doi:10.47176/ijpr.25.3.91748

Document Type : Original Article

Author

Nawras Alhoulami

Faculty of Science, Al Furat University, Deir-ez-Zor, Syrian Arab Republic

https://doi.org/10.47176/ijpr.25.3.91748

Abstract

Depending on the basic assumptions of the Shell Model and by using suitable potentials, we found a new formula to calculate nuclear binding energies for some nuclei around the closed core, which are, and . This formula is related to the mass number and number of valence nucleons outside the closed core. We found the value of standard deviation is better than that calculated by the Semi-Empirical Mass Formula, it is also better than that estimated by the Integrated Nuclear Model, and better estimated by the Modified Nuclear Integrated Model. This indicates that our inferred formula is better than the most important formulas, which were used to calculate nuclear binding energies for studied nuclei.

Keywords

Main Subjects

Nuclear Physics

References

1. J Louis Basdevant and M Spiro, Fundamentals in Nuclear Physics (Springer, 2005), p. 515.

2. V C Weizsäcker, Zur Theorie der Kernmassen (1935).

3. D Benzaid et al., Nucl. Sci. Tech. 31(9), 2–6 (2020).

4. N Ghahramany et al., Iranian Journal of Science & Technology (IJST), A3, 201–208 (2011).

5. H K Khanna, World Scientific News (WSN) 149, 36–51 (2020).

6. M G Mayer, Phys. Rev. 78(1), 16–21 (1949).

7. K L G H, The Nuclear Shell Model (Springer-Verlag, 2005), 2nd ed., p. 376.

8. J Suhonen, From Nucleons to Nucleus (Springer, 2005), 1st ed., p. 645.

9. F Pan et al., Europhys. Lett. (EPL) 132(3), 2–14 (2020).

10. H Grawe, Shell Model from a Practitioner’s Point of View, Lecture Notes in Physics (2004).

11. M E Miora et al., Phys. Rev. C 064310, 1–10 (2019).

12. A O Macchiavelli et al., Phys. Rev. C 61(4) (1999).

13. G Mekjian et al., Annu. Rev. Nucl. Sci. 22, 25–64 (1972).

14. R Arvieu and S A Moszkowski, Phys. Rev. 5(3), (1966).

15. P W M Glaudemans et al., Nucl. Phys. A 102, 593–601 (1967).

16. S F Abualhous, Calculations of Energy Levels for Nuclei 42Ca, 42Ti, 42Sc by Using Modified Surface Delta Interaction, College of Education for Girls, University of Kufa (1999).

17. NRV nuclear map, http://nrv.jinr.ru/nrv/.

18. P R C Samanta and C, Mod. Phys. Lett. A 20(21), 1605–1618 (2005).

Iranian Journal of Physics Research

A new formula to calculate nuclear binding energies for some nuclei around the closed core

References

References

Volume 25, Issue 3 - Serial Number 101
January 2026
Pages 47-54

A new formula to calculate nuclear binding energies for some nuclei around the closed core

References

References

Volume 25, Issue 3 - Serial Number 101January 2026Pages 47-54

Volume 25, Issue 3 - Serial Number 101
January 2026
Pages 47-54