Nuclear Physics and Atomic Energy

ядерна ф≥зика та енергетика
Nuclear Physics and Atomic Energy

  ISSN: 1818-331X (Print), 2074-0565 (Online)
  Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine
  Languages: Ukrainian, English
  Periodicity: 4 times per year

  Open access peer reviewed journal

 Home page   About 
Nucl. Phys. At. Energy 2021, volume 22, issue 1, pages 30-41.
Section: Nuclear Physics.
Received: 30.10.2020; Accepted: 02.04.2021; Published online: 19.06.2021.
PDF Full text (en)

Calculation of quadrupole deformation parameter β2 from reduced transition probability B(E2)↑ for 0+1 → 2+1 transitions at even-even 62-68Zn isotopes

Fatema Hameed Obeed*, Ali Khalaf Hasan

Department of Physics, Faculty of Education for Girls, University of Kufa, Najaf, Iraq

*Corresponding author. E-mail address:

Abstract: In this work the excited energy levels, reduced transition probabilities B(E2)↑, intrinsic quadrupole moments, and deformation parameters have been calculated for 62-68Zn isotopes with neutrons number N = 32, 34, 36 and 38. NuSheIIX code has been applied for all energy states of fp-shell nuclei. Shell-model calculations for the zinc isotopes have been carried out with active particles distributed in the lp3/2, 0f5/2, and lp1/2 orbits outside doubly magic closed 56Ni core nucleus. By using f5p model space and f5pvh interaction, the theoretical results have been obtained and compared with the available experimental results. The excited energies values, electric transition probability B(E2), intrinsic quadrupole moment Q0, and deformation parameters β2 have appeared in complete agreement with the experimental values. As well as, the energy levels have been confirmed and determined for the angular momentum and parity of experimental values that have not been well established and determined experimentally. On the other hand, it has been predicted some of the new energy levels and electric transition probabilities for the 62-68Zn isotopes under this study which were previously unknown in experimental information.

Keywords: B(E2)↑, ground-states, NuSheIIX code, deformation parameters.


1. K.L.G. Heyde. The Nuclear Shell Model (Bristol: Springer, 1990) 377 p.

2. V.G. Gueorguiev. Mixed-Symmetry Shell-Model Calculations in Nuclear Physics. Ph. D. Thesis (Sofia University, 2002) 120 p.

3. M. Bauer, V.G. Canuto. Spacing of nuclear mass surfaces and the super fluid model of nuclei. Phys. Lett. 7 (1963) 261.

4. D. Chanda. A study of nuclear binding energy of magic number nuclei and energy splitting considering independent particle shell model. International Journal of Advanced Scientific Research and Management 3(2) (2018) 106.

5. F. Benrachi, M. Khiter, N. Laoue. Spectroscopic properties of 130Sb, 132Te and 134I nuclei in 100-132Sn magic cores. EPJ Web of Conferences 154 (2017) 01016.

6. A.K. Hamoudi. Statistical fluctuations of B(E2) and B(M1) matrix elements in fp-shell nuclei. Iraqi J. Sci. 43(3) (2002) 1.

7. W.D. Heiss, R.G. Nazmitdinov, S. Radu. Regular and chaotic motion in axially deformed nuclei. Phys. Rev. C 52(6) (1995) 3032.

8. K.A. Gado. Quadupole moments calculation of deformed even-even 156-170Er isotopes. Global Journal of Management and Business Research G 14(1) (2014).

9. G. Neyens. Nuclear magnetic and quadrupole moments for nuclear structure research on exotic nuclei. Rep. Prog. Phys. 66 (2003) 633.

10. S. Mohammadi. Quadrupole Moments Calculation of Deformed Nuclei. Journal of Physics: Conference Series 381 (2012) 012129.

11. L. Coraggio et al. Shell-model calculations and realistic effective interactions. Prog. in Part. and Nucl. Physics 62 (2009) 135.

12. N. Tsunoda et al. Multi-shell effective interactions. Phys. Rev. C 89 (2014) 024313.

13. S.B. Doma et al. The Deformation Structure of the Even-Even p- and s-d Shell Nuclei. Alexandria J. of Phys. 1 (2011) 11.

14. N. Jarallah. Quadrupole moment and deformation parameter for even-even 38Sr (A = 76 Ц 102) nuclide. Energy Procedia 157 (2019) 276.

15. F.A. Majeed. Shell Model Calculations of Some Nuclei Near 208Pb Region. J. of Phys. Studies 21(3) (2017) 3201.

16. F. Ertugrala, E. Guliyev, A.A. Kuliev. Quadrupole Moments and Deformation Parameters of the 166-180Hf, 180-186W and 152-168Sm Isotopes. Acta Phys. Polonica A 128(2B) (2015) 254.

17. M.O. Waheed, F.I. Sharrad. Description of the deformation properties of even-even 102-106Pd isotopes. Ukr. J. Phys. 62(9) (2017) 757.

18. B.A. Brown, W.D. Rae. Nucl. Data Sheets 120 (2014) 115.

19. J.F.A. Van Hienen, W. Chung, B.H. Wildenthal. Shell-Model Calculations for the Zinc Isotopes. Nucl. Phys. A 269 (1976) 159.

20. J.E. Koops, P.W.M. Glaudemans. Shell-Model Calculations on Ni and Cu Isotopes. Z. Physik A 280 (1977) 181.

21. A.L. Nichols, B. Singh, J.K. Tuli. Nuclear Data Sheets for A = 62. Nucl. Data Sheets 113(4) (2012) 973.

22. B. Singh. Nuclear Data Sheets for A = 64. Nucl. Data Sheets 108(2) (2007) 197.

23. E. Browne, J.K. Tuli. Nuclear Data Sheets for A = 66. Nucl. Data Sheets 111(4) (2010) 1093.

24. E.A. McCutchan. Nuclear Data Sheets for A = 68. Nucl. Data Sheets 113(6-7) (2012) 1735.

25. B. Pritychenko et al. Tables of E2 transition probabilities from the first 2+ states in even-even nuclei. Atomic Data and Nucl. Data Tables 107 (2016) 1.

26. S. Raman, C.W. Nestor, Jr., P. Tikkanen. Transition probability from the ground to the first-excited 2+ state of even-even nuclides. Atomic Data and Nucl. Data Tables 78 (2001) 1.