Description of the 190–199Hg Nuclei Under the Frameworks of IBM-1 and IBFM-1

  • Kahtan A. Hussain
  • Musa K. Mohsin
  • Fadhil I. Sharrad
Research Paper
First Online:
Received:
Accepted:
  • 12 Downloads

Abstract

The energy levels and the electric quadrupole transition probabilities B(E2; J i  → J f ) for even–odd 191–199Hg have been investigated. The negative spin states of the even–odd 191–199Hg isotopes are studied within the framework of the interacting boson–fermion model (IBFM–1). The single fermion is assumed to be in one of the 2f 5/2, 3p 3/2, and 3p 1/2 single-particle orbits. It is found that the calculated negative spin state energy spectra of the even–odd 191–199Hg isotopes agree quite well with the experimental data. The B(E2) values are also calculated and compared with the experimental data. In general, the results are in reasonably good agreement with the previous experimental values. Furthermore, the energy levels, electric quadrupole transition probabilities, and the wave function for even–even 1901–198Hg isotopes (as core for even–odd nuclei) have been calculated within the framework of the interacting boson model (IBM-1). The predicted energy levels and B(E2) transition probability results are reasonably consistent with the experimental data. These calculations have been compared with previous it and almost better than it. The study of the wave function’s structure shows that all interesting nuclei are deformed and have dynamical symmetry O(6) characters.

Keywords

IBM IBFM Energy level Electromagnetic transition Odd Hg isotopes 
This is a preview of subscription content, log in to check access.

Notes

Acknowledgements

We thank Department of Physics, College of Science, University of Kerbala, and University of Babylon for supporting this work under Grant No. 7/17/308.

References

  1. Achterberg E, Capurro OA, Marti GV, Vanin VR (2006) Nuclear data sheets for A = 193. Nucl Data Sheets 107:1CrossRefGoogle Scholar
  2. Arima A, Iachello F (1975) Collective nuclear states as representations of a SU(6) group. Phys Rev Lett 35:1069CrossRefGoogle Scholar
  3. Arima A, Iachello F (1976) Interacting boson model of collective states I. The vibrational limit. Ann Phys NY 99:253CrossRefGoogle Scholar
  4. Arima A, Iachello F (1978) Interacting boson model of collective nuclear states II. The rotational limit. Ann Phys NY 111:201CrossRefGoogle Scholar
  5. Arima A, Iachello F (1979) Interacting boson model of collective nuclear states IV. The O(6) limit. Ann Phys NY 123:468CrossRefGoogle Scholar
  6. Arima A, Otsuka T, Iachello F, Talmi I (1977) Collective nuclear states as symmetric couplings of proton and neutron excitations. Phys Lett B 66:205CrossRefGoogle Scholar
  7. Baglin CM (2012) Nuclear data sheets for A = 192. Nucl Data Sheets 113:1871CrossRefGoogle Scholar
  8. Bardeen J, Cooper LN, Schriefer JR (1957) Theory of superconductivity. Phys Rev 108:1175MathSciNetCrossRefMATHGoogle Scholar
  9. Bernards C et al (2013) Investigation of 0+ states in 198Hg after two-neutron pickup. Phys Rev C 87(2):024318.  https://doi.org/10.1103/PhysRevC.87.024318 CrossRefGoogle Scholar
  10. Bohr A, Motelson BR (1980) Features of nuclear deformations produced by the alignment of individual particles or pairs. Phys Scripta 22:468MathSciNetCrossRefMATHGoogle Scholar
  11. Casten RF, Warner DD (1988) The interacting boson approximation. Rev Mod Phys 60:389MathSciNetCrossRefGoogle Scholar
  12. Delaroche JP et al (1994) Evidence for γ vibrations and shape evolutions through the transitional 184, 186, 188, 190Hg nuclei. Phys Rev C 50:2332CrossRefGoogle Scholar
  13. Garcìa-Ramos JE, Heyde K (2014) Nuclear shape coexistence: a study of the even-even Hg isotopes using the interacting boson model with configuration mixing. Phys Rev C 89:014306CrossRefGoogle Scholar
  14. Iachello F, Arima A (1974) Boson symmetries in vibrational nuclei. Phys Lett B 53:309CrossRefGoogle Scholar
  15. Iachello F, Arima A (1987) The interacting boson model. Cambridge University Press, CambridgeCrossRefGoogle Scholar
  16. Iachello F, VanIsacker P (1991) Interacting Boson–Fermion model. Cambridge University Press, CambridgeCrossRefGoogle Scholar
  17. Kassim Huda H, Sharrad Fadhil I (2014a) Energy levels and electromagnetic transition of 190-196Pt nuclei. Int J Mod Phys E 23:1450070CrossRefGoogle Scholar
  18. Kassim Huda H, Sharrad Fadhil I (2014b) High-spin structure in 192-196Pt isotopes. Res Rev J Phy 3:1Google Scholar
  19. Kassim Huda H, Sharrad Fadhil I (2014c) O(6) Symmetry of even 186-198Pt isotopes under the framework of Interacting Boson Model (IBM-1). Int J Sci Res (IJSR) 3:2189Google Scholar
  20. Kassim HH, Sharrad FI (2015) Negative parity low-spin states of even–odd 187-197Pt isotopes. Nucl Phys A 933:1CrossRefGoogle Scholar
  21. Kassim HH, Mohammed-Ali AA, Sharrad FI, Hossain I, Jassim KS (2016) Nuclear structure of even 178-182Hf isotopes under the framework of Interacting Boson Model (IBM-1). Iran J Sci Technol Trans Sci.  https://doi.org/10.1007/s40995-016-0104-x Google Scholar
  22. Khudher HH, Hasan AK, Sharrad FI (2017) Calculation of the positive parity yrast bands of 190-198Hg nuclei. Ukr J Phys 62:152CrossRefGoogle Scholar
  23. Nenoff N et al (1998) Dipole band structures in 195 Hg. Nucl Phys A 629:621–634CrossRefGoogle Scholar
  24. Scholten O (1980) Internal report KVI 252 computer code ODDA, (University of Groningen)Google Scholar
  25. Scholten O, Iachello F, Arima A (1978) Interacting boson model of collective nuclear states III. The transition from SU(5) to SU(3). Ann Phys NY 115:325CrossRefGoogle Scholar
  26. Sharrad FI, Abdullah HY, AL-Dahan N, Mohammed-Ali AA, Okhunov AA, Kassim HA (2012) Shape transition and collective excitations in Neutron-Rich 170-178Yb nuclei. Rom J Phys 57:1346Google Scholar
  27. Sharrad FI, Abdullah HY, AL-Dahan N, Umran NM, Okhunov AA, Abu-Kassim H (2013) Low-lying states of 184W and 184Os nuclei. Chin Phys C37:034101. http://www.nndc.bnl.gov/chart/getENSDFDatasets.jsp CrossRefGoogle Scholar
  28. Siem S et al (2004) Excitation energies and spins of the yrast superdeformed band in 191Hg. Phys Rev C 70:014303CrossRefGoogle Scholar
  29. Singh BJ (2003) Nuclear data sheets for A = 190. Nucl Data Sheets 99:275CrossRefGoogle Scholar
  30. Singh BJ (2006) Nuclear data sheets for A = 194. Nucl Data Sheets 107:1531CrossRefGoogle Scholar
  31. Singh B (2007) Nuclear data sheets for A = 1999. Nucl Data Sheets 108:79CrossRefGoogle Scholar
  32. Troltenier D, Maruhn JA, Greiner W, Velazquez Aguilar V, Hess PO, Hamilton JH (1991) Shape transitions and shape coexistence in the Ru and Hg chains. Z Phys A Hadrons Nuclei 338:261–270CrossRefGoogle Scholar
  33. Vanin VR, Maidana NL, Castro RM (2007) Nuclear data sheets for A = 191. Nucl Data Sheets 108:2393CrossRefGoogle Scholar
  34. Vretenar D, Bonsignori G, Savoia M (1993) One and two broken pairs in the interacting boson model: high-spin states in 190, 192, 194Hg. Phys Rev C 47:2019CrossRefGoogle Scholar
  35. Weissman L et al (1999) Single particle signatures in high-spin, quasicontinuum states in 193, 194Hg from g-factor measurements. Phys Lett B 446:22CrossRefGoogle Scholar
  36. Xiaolong H (2007) Nuclear data sheets for A = 196. Nucl Data Sheets 108:1093CrossRefGoogle Scholar
  37. Xiaolong H (2009) Nuclear data sheets for A = 198. Nucl Data Sheets 110:2533CrossRefGoogle Scholar
  38. Xiaolong H, Chunmei Z (2005) Nuclear data sheets for A = 197. Nucl Data Sheets 104:283CrossRefGoogle Scholar
  39. Xiaolong H, Mengxiao K (2014) Nuclear data sheets for A = 195. Nucl Data Sheets 121:395CrossRefGoogle Scholar

Copyright information

© Shiraz University 2017

Authors and Affiliations

  • Kahtan A. Hussain
    • 1
  • Musa K. Mohsin
    • 1
  • Fadhil I. Sharrad
    • 2
  1. 1.Department of Physics, College of ScienceUniversity of BabylonHillaIraq
  2. 2.Department of Physics, College of ScienceUniversity of KerbalaKarbalaIraq

Personalised recommendations