10.57647/JTAP.2025.1906.53

Investigating the Impact of the Nuclear Single-‎Particle Potentials on Parity-Changing Transitions ‎and Deformation in 24Mg

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  • Ali A. Alzubadi ‎*1,
  • Ali K. ‎ Abood 1,
  1. Department of Physics, College of science, University of Baghdad, Baghdad, Iraq

Received: 2024-09-02

Revised: 2024-09-16

Accepted: 2025-08-13

Published in Issue 2025-12-31

Published Online: 2025-11-12

Copyright (c) 2025 Ali A. Alzubadi ‎, Ali K. ‎ Abood (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
Alzubadi ‎ AA, Abood AK ‎. Investigating the Impact of the Nuclear Single-‎Particle Potentials on Parity-Changing Transitions ‎and Deformation in 24Mg. J Theor Appl phys. 2025 Dec. 31;19(6). Available from: https://oiccpress.com/jtap/article/view/17988
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Abstract

The present work focuses on the nuclear structure of 24Mg Jπ (0+), with particular emphasis on the low-lying positive and negative parity excited states and their associated electromagnetic form factors. The study utilizes a combination of the Shell Model (SM) and Skyrme Hartree-Fock (SHF) method, considering inelastic electroexcitation form factors for excitation energies up to 13 MeV in a momentum transfer range from 0.0 to 3.0 fm⁻¹. Various single-particle potentials, including SHF, HO, and WS models, are applied to describe positive and negative parity states. Additionally, the HF+BCS method is employed to investigate the quadrupole deformation (β2) as a function of energy, offering insights into the shape and structure of nuclei. The results demonstrate a reasonable agreement between theoretical predictions and experimental data, particularly in reproducing longitudinal and transverse electroaxcitation form factors and energy level schemes. Notably, the HO potential exhibits better alignment with experimental data for specific transitions, indicating its effectiveness in capturing crucial features of nuclear structure. This study underscores the importance of one-body potentials, two-body effective interactions, and parameterization in accurately describing various nuclear systems, particularly those featuring unstable nuclei. The findings shed light on the behavior of 24Mg, paving the way for further advancements in nuclear theory through the integration of theoretical frameworks.

Keywords

  • Nuclear shell model,
  • Electroexcitation form factor,
  • Different parity sates,
  • Skyrme Hartree-Fock,
  • Quadrupole deformation
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References

  1. M. G. Mayer, “On closed shells in nuclei. II [32],” Phys. Rev., vol. 75, no. 12, pp. 1969–1970, 1949, doi: ‎‎10.1103/PhysRev.75.1969.
  2. ‎ R. F. Casten and S. Moszkowski, “Nuclear Structure from a Simple Perspective,” Phys. Today, vol. 44, no. 11, pp. 91–92, ‎Nov. 1991, doi: 10.1063/1.2810324.
  3. ‎ B. A. Brown, “The nuclear shell model towards the drip lines,” Prog. Part. Nucl. Phys., vol. 47, no. 2, pp. 517–599, Jan. ‎‎2001, doi: 10.1016/S0146-6410(01)00159-4.
  4. ‎ R. A. Radhi and A. A. Alzubadi, “Study the Nuclear Form Factors of Low-Lying Excited States in 7Li Nucleus Using the Shell ‎Model with Skyrme Effective Interaction,” Few-Body Syst., vol. 60, no. 3, p. 57, Sep. 2019, doi: 10.1007/s00601-019-1524-x.
  5. ‎ B. A. Brown and B. H. Wildenthal, “Status of the Nuclear Shell Model,” Annu. Rev. Nucl. Part. Sci., vol. 38, no. 1, pp. 29–‎‎66, Dec. 1988, doi: 10.1146/annurev.ns.38.120188.000333.
  6. ‎ A. A. Alzubadi and R. S. Obaid, “Study of the nuclear deformation of some even–even isotopes using Hartree–Fock–‎Bogoliubov method (effect of the collective motion),” Indian J. Phys., vol. 93, no. 1, pp. 75–92, 2019, doi: 10.1007/s12648-018-‎‎1269-2.
  7. ‎ H. Zarek et al., “Inelastic electron scattering to negative parity states of 24Mg,” Phys. Rev. C, vol. 29, no. 5, pp. 1664–1671, ‎May 1984, doi: 10.1103/PhysRevC.29.1664.
  8. ‎ A. Hotta, R. S. Hicks, R. L. Huffman, G. A. Peterson, R. J. Peterson, and J. R. Shepard, “Transverse isoscalar excitations ‎in 24Mg by 180° electron scattering,” Phys. Rev. C, vol. 36, no. 6, pp. 2212–2220, Dec. 1987, doi: 10.1103/PhysRevC.36.2212.
  9. ‎ N. S. Manie and A. A. Alzubadi, “Electromagnetic multipole of positive and negative parity states in 24Mg by elastic and ‎inelastic electron scattering,” Iraqi J. Phys., vol. 17, no. 42, pp. 27–41, Aug. 2019, doi: 10.30723/ijp.v17i42.421.
  10. ‎ Y. Kanada-En’yo and K. Ogata, “Microscopic coupled-channel calculation of proton and alpha inelastic scattering to the ‎‎4_1^+ and 4_2^+ states of 24Mg ,” Phys. Rev. C, vol. 103, no. 2, p. 024603, Feb. 2021, doi: 10.1103/PhysRevC.103.024603.‎
  11. ‎ E. W. Lees, A. Johnston, S. W. Brain, C. S. Curran, W. A. Gillespie, and R. P. Singhal, “The study of the excited states of 26Mg ‎below 11 MeV by inelastic electron scattering,” J. Phys. A Math. Nucl. Gen., vol. 7, no. 8, pp. 936–974, May 1974, doi: ‎‎10.1088/0305-4470/7/8/005.‎
  12. ‎ E. W. Lees, C. S. Curran, T. E. Drake, W. A. Gillespie, A. Johnston, and R. P. Singhal, “Inelastic electron scattering from ‎‎25Mg,” J. Phys. G Nucl. Phys., vol. 2, no. 5, pp. 341–356, May 1976, doi: 10.1088/0305-4616/2/5/010.‎
  13. ‎ T. T. S. Kuo and G. E. Brown, “Structure of finite nuclei and the free nucleon-nucleon interaction,” Nucl. Phys., vol. 85, no. ‎‎1, pp. 40–86, Sep. 1966, doi: 10.1016/0029-5582(66)90131-3.‎
  14. ‎ T. T. S. Kuo, “State dependence of shell-model reaction matrix elements,” Nucl. Phys. A, vol. 103, no. 1, pp. 71–96, Oct. ‎‎1967, doi: 10.1016/0375-9474(67)90790-7.‎
  15. ‎ B. H. Wildenthal, E. C. Halbert, J. B. McGrory, and T. T. S. Kuo, “Calculations with a 1????, 0???? Shell Model ‎for ???? =34 −38 Nuclei,” Phys. Rev. C, vol. 4, no. 4, pp. 1266–1314, Oct. 1971, doi: 10.1103/PhysRevC.4.1266.‎
  16. ‎ E. K. Warburton and B. A. Brown, “Effective interactions for the 0 p 1 s 0 d nuclear shell-model space,” Phys. Rev. C, vol. ‎‎46, no. 3, pp. 923–944, Sep. 1992, doi: 10.1103/PhysRevC.46.923.‎
  17. ‎ A. A. Alzubadi, R. A. Radhi, and N. S. Manie, “Shell model and Hartree-Fock calculations of longitudinal and transverse ‎electroexcitation of positive and negative parity states in 17O,” Phys. Rev. C, vol. 97, no. 2, p. 024316, Feb. 2018, doi: ‎‎10.1103/PhysRevC.97.024316.‎
  18. ‎ J. W. Negele and D. Vautherin, “Density-Matrix Expansion for an Effective Nuclear Hamiltonian,” Phys. Rev. C, vol. 5, no. 5, ‎pp. 1472–1493, May 1972, doi: 10.1103/PhysRevC.5.1472.‎
  19. ‎ B. A. Brown et al., “Shell-model analysis of high-resolution data for elastic and inelastic electron scattering on 19F,” Phys. ‎Rev. C, vol. 32, no. 4, pp. 1127–1156, Oct. 1985, doi: 10.1103/PhysRevC.32.1127.‎
  20. ‎ B. A. Brown and W. D. M. Rae, “The Shell-Model Code NuShellX@MSU,” Nucl. Data Sheets, vol. 120, pp. 115–118, Jun. ‎‎2014, doi: 10.1016/j.nds.2014.07.022.‎
  21. ‎ W. Rae, “NuShellX - Large Scale Shell Model Calculations on your PC.,” Garsington, 2008. ‎http://www.garsington.eclipse.co.uk/