Theoretical Study of Proton Halo Structure and Elastic Electron Scattering Form Factor for 23Al and 27P Nuclei by Using Full Correlation Functions (Tensor Force and Short Range)

Keywords: Exotic nuclei, Form Factor, Proton-rich, Root mean square (rms) radii


The study of proton-rich nuclei's form factors, root-mean-square radius (rms), and nuclear density distributions is the focus of this work for nuclei (23Al and 27P), use two body charge density distributions (2BCDD's). With the effects of the strong tensor force and short range, the nucleon distribution function of the two oscillating harmonic particles in a two-frequency shell model operates with two different parameters: bc for the inner (core) orbits and bv for the outer (halo) orbitals. This work demonstrated the existence of proton halo nuclei for the nuclei (23Al and 27P) in the shell (2s1/2), and the computed proton, neutron, and matter density distributions for these nuclei both displayed the long tail of the performance. Using the Borne approximation of the plane wave, the elastic form factor of the electron scattering from the alien nucleus was calculated, this form factor is dependent on the difference in the proton density distribution of the last proton in the nucleus. The Fortran 95 power station program was used to calculate the neutrons, protons, matter density, elastic electron scattering form factor, and rms radii. The calculated outcomes for these exotic nuclei agree well with the experimental data.


Download data is not yet available.


B.A. Brown, and P.G. Hansen, Phys. Lett. B, 381, 391, (1996).

P.G. Hansen, and B. Jonson, Europhys. Lett. 4, 409 (1987).

J. Meng, and P. Ring, Phys. Rev. Lett. 80, 460 (1998).

I. Tanihata, T. Kobayashi, O. Yamakawa, S. Shimoura, K. Ekuni, K. Sugimoto, N. Takahashi, et al., Phys. Lett. B, 206, 592, (1988).

I.J. Thompson, S. Al-khalili, J.A. Tostevin, and J.M. Bang, Phys. Rev. C, 47, 1364 (1993).

W. Schwab et al., Z. Phys. A, 350, 283 (1995).

A. Ozawa, et al., Phys. Lett. B, 334, 18 (1994).

E. Ryberg, C. Forss´ena, H.-W. Hammer, and L. Platter, “Range corrections in proton halo nuclei”, Nucl. Phys. 367, 13 (2016).

F. Dellagiacoma, G. Orlandiniand, and M. Traini, "Dynamical correlations in finite nuclei: A simple method to study tensor effects", Nucl. Phys. A, 393, 1, 95-108 (1983).

J. Da Providencia, and C. M. Shakin, "Some aspects of short-range correlation in nuclei", Ann. Phys. 30(1), 95-118 (1964).

A. Malecki and P. Picchi, "Elastic electron scattering from4He", Phys. Rev. Lett. 21(19), 1395-1398 (1968).

L.F. Sultan, and A.N. Abdullah, “Study of the Proton Halo Structure of Nuclei 23Al and 27P Using the Binary Cluster Model”, Iraqi Journal of Physics, 19(48), 21 (2021).

R.I. Noori, and A.R. Ridha," Density Distributions and Elastic Electron Scattering Form Factors of Proton-rich 8B, 17 F, 17Ne, 23Al and 27P Nuclei", Iraqi Journal of Science, 60(6), 1286-1296 (2019).

M.T. Yaseen, and A.M. Ali, “Charge Density Distributions, Momentum Density Distribution, and Elastic Form Factors of Exotic One- And Two-Proton Halo Nuclei”, Journal of Critical Reviews, 7(15), (2020).

A.K. Hamoudi, G.N. Flaiyh, and A.N. Abdullah, Iraqi Journal of Science, 56(1A), 147 (2015).

A.N. Antonov, P.E. Hodgson, and I.Z. Petkov, Nucleon Momentum and Density Distributions in Nuclei, (Clarendon Press, Oxford, 19880, pp. 97-102.

S. Gartenhaus, and C. Schwartz, Phys. Rev. 108(2), 482 (1957).

J. Fiasi, A. Hamoudi, J.M. Irvine, and F. Yazici, J. Phys. G: Nucl. Phys. 14, 27 (1988).

A.N. Abdullah, Int. J. Mod. Phys. E, 29, 2050015 (2020).

T.T.S. Kuo, and G.E. Brown, Nucl. Phys. A, 85, 40-86 (1966).

A.N. Antonov, M.K. Gaidarov, D.N. Kadrev, P.E. Hodgson, and E.M.D. Guerr, Int. J. Mod. Phys. E, 13, 759 (2004).

T. de Forest, Jr., and J.D. Walecka, “Electron scattering and nuclear structure”, Adv. Phys. 15(1), 1 (1966).

J.D. Walecka, Electron Scattering for Nuclear and Nucleon Structure, (Cambridge University Press, Cambridge, 2001), pp. 14 16.

G. Audi, F.G. Kondev, M. Wang, W.J. Huang, and S. Naimi, Chin. Phys. C, 41, 030001 (2017).

H.Y. Zhang, W.Q. Shen, Z.Z. Ren, Y.G. Ma, W.Z. Jiang, Z.Y. Zhu, X.Z. Cai, et al. Nuclear Physics A, 707, 303–324 (2002).

Y.L. Zhao, Z.Y. Ma, B.Q. Chen, and W.Q. Shen, “Halo structure of nucleus 23Al”, Chinese Physics Letters, 20(1), 53-55 (2003).

A.N. Abdullah, “Systematic Study of the Nuclear Structure for Some Exotic Nuclei Using Skyrme–Hartree–Fock Method”, Iran. J. Sci. Technol. Trans. Sci. 44, 283 (2020).

H. De Vries, and C.W. Jager, “Nuclear charge-density-distribution parameters from elastic electron scattering”, Atomic Data and Nuclear Data Tables, 36(3), 495-536 (1987).

How to Cite
Hussein, A. A., & Flaiyh, G. N. (2023). Theoretical Study of Proton Halo Structure and Elastic Electron Scattering Form Factor for 23Al and 27P Nuclei by Using Full Correlation Functions (Tensor Force and Short Range). East European Journal of Physics, (1), 75-81.