Shell Model Calculations for 18,19,20O Isotopes by Using USDA and USDB Interactions

  • A. K. Hasan Department of Physics, College of Education For Girls, University of Kufa
Keywords: shell model, OXBASH code, energy levels, model space, B(E2; ↓)

Abstract

The shell model (SM) is used to calculate the energy levels and transition probabilities B(E2) for 18,19,20 O isotopes. Two interactions (USDA and USDB) are used in the SDPN model space. We assume that all possible many-nucleon configurations are defined by the 0d5/2, 1s1/2, and d3/2 states that are higher than in 16 O doubly magic nucleus. The available empirical data are in a good agreement with theoretical energy levels predictions. Spins and parities were affirmed for new levels, and the transition probabilities B(E2; ↓) are predicted.

References


  1. P. Navratil W.E. Ormand. Ab initio shell model with a genuine three-nucleon force for the p-shell nuclei. Nucl. Th 1, 10305090 (2003).

  2. J. Fiase, A. Hamoudi, J.M. Irvine, F. Yazici. Effective interactions for sd-shell-model calculations. J. Phys. G: Nucl. Phys. 14, 27 (1988).
    https://doi.org/10.1088/0305-4616/14/1/007

  3. A.K. Hasan, A.R.H. Subber. Level structure of 210Po by means of surface delta interaction. Turk J. Phys. 37, 348 (2013).
    https://doi.org/10.3906/fiz-1211-15

  4. X.B.Wang, G.X.Dong, F.R.Xu Systematic study of shell-model effective interaction in sd shell. EPJ Web of Conferences 66, 02108 (2014).

  5. B.A. Brown, W.A. Richter, R.E. Julies, B.H. Wildenthal. Semi-empirical effective interaction for the (1s ? 0d). Annals of Phys. 182, 191 (1988).
    https://doi.org/10.1016/0003-4916(88)90013-9

  6. Y.L. Lam. Ph.D. thesis (Bordeaux Univ. Gradignan, 2011).

  7. H.H. Khudher, A.K. Hasan, F.I. Sharrad. Calculation of energy levels, transition probabilities, and potential energy surfaces for 120?126Xe even-even isotopes. Ukr. J. Phys. 62, 2 (2017).
    https://doi.org/10.15407/ujpe62.02.0152

  8. F.I. SharradA. A. Okhunov, H.Y. Abdullah, H. Abu Kassim. Shell model calculations on even nuclei near 208Pb. Intern. J. Phys. Sci. 7(38), 5449 (2012).

  9. B.A. Brown, A. Etchegoyen W.D.M. Rae The OXBASH shell model code. MSUCL Report. No. 524 (1988).

  10. S.Mohammadi, O.R. Nouri, A.R. Abbasnia, M. Salmani. Energy levels calculations of 42Ca, 28Si and 30Si isotopes using shell model code OXBASH. Intern. J. Sci. Engin. Appl. Sci. (IJSEAS) 19, 2395 (2015).

  11. B.A. Brown. The nuclear shell model towards the drip lines. Prog. Part. Nucl. Phys. 47, 517 (2001).
    https://doi.org/10.1016/S0146-6410(01)00159-4

  12. R. Casten. Nuclear structure from a simple perspective (Oxford Univ. Press, 2000).

  13. A.M. Kamchatnov, V.G. Nosov. Structure of residual interaction in spherical nuclei. Nucl.-Th. 1, 0311011 (2003).

  14. L. Coraggio, A. Covello, A. Gargano, N. Itaco, T.T.S. Kuo. Shell model calculations and realistic effective interactions. Prog. Part. Nucl. Phys. 62, 143 (2009).
    https://doi.org/10.1016/j.ppnp.2008.06.001

  15. S. Mohammadi, M. Mounesi. Energy levels calculations of 20Ne and 21Ne isotopes. Amer. J. of Modern Phys. 4, 36 (2015).

  16. K.S. Jassim. Nuclear structure of 104;106;108Sn isotopes using the NuShell computer code. Chinese J. of Phys. 51, 3 (2013).

  17. B.A. Brown, B.H. Wildenthal. Status of the nuclear shell model. Ann. Rev. Nucl. Part. Sci. 38129-66 (1988).

  18. A.K. Hasan, F.H. Obeed. Energy levels and reduced transition probabilities of 18?20F isotopes using USDA and W Hamiltonians. Intern. J. of Phys. Sci. 12(10), 118 (2017).
    https://doi.org/10.5897/IJPS2017.4630

  19. A.A. Al-Sammarrae, F.I. Sharrad, A.A. Aziz, N. Yusof, H.A. Kassim. Application of USDA and SDBA Hamiltonians in calculating the excited states of odd-A magnesium isotopes. Eur. Phys. J. Plus. 129, 125 (2014).
    https://doi.org/10.1140/epjp/i2014-14125-0

  20. W. Chung. Ph. D. thesis (Michigan State Univ., 1976).

  21. K. Kaneko, Y. Sun, T. Mizusaki, M. Hasegawa. Shell model study for neutron-rich sd shell nuclei. Phys. Rev. C 83, 0143201-7. (2011).
    https://doi.org/10.1103/PhysRevC.83.014320

  22. S. Mohammadi, B.N. Giv, N.S. Shakib. Energy levels calculations of 24Al and 25Al isotopes. Nucl. Sci. 211, 4 (2017).

  23. D.R. Tilley, H. Weller, C. Cheves. Energy levels of light nuclei A = 18?19. Nucl. Phys. A 595, 1 (1995).
    https://doi.org/10.1016/0375-9474(95)00338-1

  24. D.R. Tilley, C. Cheves, J. Kelley, S. Raman, H. Weller. Energy levels of light nuclei, A = 20. Nucl. Phys. A 636, 249 (1998).
    https://doi.org/10.1016/S0375-9474(98)00129-8
Published
2018-04-20
How to Cite
Hasan, A. (2018). Shell Model Calculations for 18,19,20O Isotopes by Using USDA and USDB Interactions. Ukrainian Journal of Physics, 63(3), 189. https://doi.org/10.15407/ujpe63.3.189
Section
Fields and elementary particles