Calculating the Radii of the Even-Even Nickel Isotopes
DOI:
https://doi.org/10.21123/bsj.2024.10971Keywords:
A deformation parameters( β2, δ) , An electric quadruple moment Qo , A probability of the transition B(E2:0+→2+ ), A Roots mean square Radius〖<r^2>〗^(1/2 )Abstract
The current investigation concentrated on even-even nuclei forms to isotopes that have masses number less than 100 (A>100) to . This includes a look at deformation parameters derived from reduced electric transition probability as well as distortions parameters derived by intrinsic electric quadrupole moment. A Roots mean square Radius We studied the most important deformation parameters (d,b2) , and major and minor of ellipsoid axes (a,b) in addition to the difference between these axes (DR) All these parameters were calculated using the deformed shell model equations and applied theoretically in a special program. Differences in nuclei forms were observed for selected isotopes via drawing two 2- dimensional shapes. According to the current findings. Thus the distortion coefficients decrease as the number of neutrons approaches the magic number. Thus it was observed that the most distorted and inclined isotopes of the elliptical shape are the isotopes with numbers of protons and neutrons far from the magic numbers Also, the obtained results were compared with the theoretical results from Raman source by "single-shell Asymptotic Nilsson Model "(SSANM), and noticed that was little change in the results. Also observed from the results that () is the most stable isotope and has a clear spherical shape because (Z) is equal to (28) a magic number and (N) is equal to (30) a number close to the magic number.
Received 17/02/2024
Revised 17/05/2024
Accepted 19/05/2024
Published Online First 20/07/2024
References
Hameed BS. The Nuclear Structure for Exotic Neutron-Rich of 42,43,45,47K Nuclei. Baghdad Sci J. 2020 Apr; 13(1): 146-9. http://dx.doi.org/10.21123/bsj.2016.13.1.0146
Akkoyun S, Bayram T, Kara SO. A study on estimation of electric quadrupole transition probability in nuclei. J Nucl Sci. 2015 Jan 5; 2(1): 7-10. https://doi.org/10.1501/nuclear_0000000009.
Kumar R, Bhuyan M, Jain D, Carlson BV. Theoretical Description of Low-Energy Nuclear Fusion. In Nuclear Structure Physics. CRC Press. 2020 Oct ; 21: 121-144. https://doi .10.1201/9780429288647-5
Raheem EM, Hasan AA, Alwan IH. Study of ground state properties of some Ni-Isotopes using Skyrme-Hartree-Fock method. Iraqi J Phys. 2019 Jul 1; 17(42): 1-2. https://doi.org/10.20723/ijp.17.42.1-12
Ali AH, Hassoon SO, Tafash HT. Calculations of Quadrupole Deformation Parameters for Nuclei in fp shell. In J Phys Conf Ser. 2019 Feb; 1178: 012010. http://dx.doi.org/10.1088/1742-6596/1178/1/012010
Heyde KL, Heyde KL. The nuclear shell model. Springer Berlin Heidelberg; 1994. https://doi.org/10.1007/978-3-642-97203-4
Mahmood PF. Ground State Properties of Even-Even 30− 92Ca Isotopes Using HFB Theory. Kirkuk J. Sci. 2024 Mar 1;19(1):43-50. https://doi. 10.32894/KUJSS.2024.146573.1136
Raman S, Nestor Jr CW, Tikkanen P. Transition probability from the ground to the first-excited 2+ state of even–even nuclides. At Data Nucl. Data Tables. 2001 May 1; 78(1): 1-28. http://dx.doi.org/10.1006/adnd.2001.0858
Jakubus M, Graczyk M. Availability of nickel in soil evaluated by various chemical extractants and plant accumulation. Agronomy. 2020 Nov 17; 10(11): 1-16. http://dx.doi.org/10.3390/agronomy10111805
Adamu A. A New Measurement of Nuclear Radius from the study of β+–Decay Energy of Finite-Sized Nuclei. J Rad Nucl Appl. 2021; 6(1): 45-49. http://dx.doi.org/10.18576/jrna/060108
Ibrahim SM, Ebrahiem SA, Rhaiem AB. Calculating of the Electric Transition Forces and Radii of Even-even-Nuclei of Cadmium (100-12448Cd) Cd Isotopes. Ibn al-Haitham J Pure Appl Sci. 2024 Apr 20; 37(2): 217-25. https://doi.org/10.30526/37.2.3468
Majeed FA, Obaid SM. Nuclear structure study of 22, 24Ne and 24Mg nuclei. Revista mexicana de física. 2019 Apr; 65(2): 159-67. http://dx.doi.org/10.31349/RevMexFis.65.159
Alzubadi AA, Dakhil ZA, Aluboodi ST. Microscopic Study of Nuclear Structure for Some Zr-isotopes Using Skyrme-Hartree-Fock-Method. Journal of Nuclear and Particle Physics. 2014;4(6):155-163.https://doi. 10.5923/j.jnpp.20140406.01
Kenichi Yoshida. Suddenly shortened half-lives beyond ⁷⁸Ni: N= 50 magic number and high-energy nonunique first-forbidden transitions. Phys Rev C. 2019; 100(2): 1-9. https://doi.10.1103/PhysRevC.100.024316
Angeli I, Marinova KP. Table of experimental nuclear ground state charge radii: An update. At Data Nucl. Data Tables. 2013 Jan 1; 99(1): 69-95. http://dx.doi.org/10.1016/j.adt.2011.12.006
Hameed BS, Rejah BK. Study the Nuclear Structure of Some Cobalt Isotopes. Baghdad Sci J. 2022 Dec 5;19(6 (Suppl.)):1566-1571.https://dx.doi.org/10.21123/bsj.2022.7537
Yakut H, Tabar E, Kemah E, Hoşgör G. Microscopic calculation of the electromagnetic dipole strength for 239,243 Pu isotopes. J. Phys. G: Nucl. Part. Phys. 2022 Dec 13;50(1):015104.
https://doi. 10.1088/1361-6471/aca3bf
Taqi A, Mahmood P. Ground State Properties and Shape Transition of Even-Even 76Os, 78Pt, 80Hg and 82Pb Isotopes in the Framework of Skyrme Hartree-Fock-Bogoliubov Theory. Arab J. Nucl. Sci. Appl. 2022 Jan 1;55(1):34-44. https://doi. 10.21608/ajnsa.2021.70418.1461 .
Ye W, Qian Y, Ren Z. Refining the nuclear mass model via the α decay energy. Phys. Rev. C. 2021 Dec;104(6):064308. https://doi.org/10.1103/PhysRevC.104.064308
Taha H, Ibrahim K, Rahman MM, Henry DJ, Yin CY, Veder JP, et al. Sol-gel derived ITO-based bi-layer and tri-layer thin film coatings for organic solar cells applications. Appl Surf Sci. 2020 Nov 15; 530: 147164. https://doi.org/10.1016/j.apsusc.2020.147164
Abd Ali FS, Mahdi KH, Jawad EA. Humidity effect on diffusion and length coefficient of radon in soil and building materials. Energy Procedia. 2019 Jan 1; 157: 384-392.https://doi.org/10.1016/j.egypro.2018.11.203
Downloads
Issue
Section
License
Copyright (c) 2024 Safa Mohsin Ibrahim , Abdallah Ben Rhaiem, Sameera Ahmed Ebrahiem
This work is licensed under a Creative Commons Attribution 4.0 International License.