Abstract
In the present research, the nuclear deformation of even–even rare-earth Er–Os isotopes with N = 102 has been calculated using a new empirical equation and an interacting boson model (IBM-1). The potential energy surface, reduced transition probabilities B(E2) and energy level have been calculated for these nuclei. The properties of gamma, beta and yrast band have been also calculated and compared with the available experimental data. The results of both models have been indicated the similarity or dissimilarity with the published experimental data. We have been studied the ratio \(E_{\gamma } (I + 2) /E_{\gamma } (I)\) versus the spin (I) to determine the character of the ground-state band. From the outcome of our investigation, it is possible to conclude that the 170Er/172Yb/174Hf/176W nuclei show a rotational SU(3) character and 178Os shows X(5) character. Results of this calculation are in good agreement with the corresponding available experimental data.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
F Iachello and A Arima The Interacting Boson Model (Cambridge: Cambridge University Press) (1987)
F Iachello Phys. Rev. Lett.87 052502 (2001)
F Iachello Phys. Rev. Lett.85 3580 (2000)
P Cejnar, J Jolie and R F Casten Rev. Mod. Phys.82 2155 (2010)
R F Casten, E A McCutchan J. Phys. G34 R285 (2007)
E A McCutchan and N V Zamfir Phys. Rev. C71 054306 (2005)
A Dewald et al J. Phys. G Nucl. Part. Phys. 31 S1427 (2005)
Z Jin-Fu, L Li-Jun and B Hong-Bo, Chin. Phys. Soc. 16 7 (2007)
S F Shen, Y B Chen, F R Xu, S J Zheng, B Tang, and T D Wen Phys. Rev. C75 047304 (2007)
H H Khudher, A K Hasan and F I Sharrad Ukrainian J. Phys.62 152 (2017)
K Nomura, T Otsuka, N Shimizu and L Guo J. Phys. Conf. Ser. 267 012050 (2011)
H L Liu, F R Xu, P M Walker and C A Bertulani Phys. Rev. C83 067303 (2011)
X Hao et al. J. Phys. G Nucl. Part. Phys.38 025102 (2011)
A A Raduta and P Buganu J. Phys. G Nucl. Part. Phys. 40 025108 (2013)
E Williams et al EPJ Web of Conferences35 06006 (2012)
A Okhunov, F I Sharrad, A A Al-Sammarea and M U Khandaker Chin. Phys. C39 084101 (2015)
F I Sharrad, I Hossain, I M Ahmed, H Y Abdullah, S T Ahmad and A S Ahmed Braz. J. Phys.45 340 (2015)
J B Gupta and S Sharma Indian J. Pure Appl. Phys. 26 601 (1988)
M A Al-Jubbori, H H Kassim, F I Sharrad and I Hossain Int. J. Modern Phys. E27 1850035 (2018)
[20] R Chudhary et al. Indian J. Phys.92 377 (2018)
A Arima and F Iachello Ann. Phys. N.Y.111 201 (1978)
K Abrahams, K Allaart and A E L Dieperink Nuclear Structure (New York and London: Plenum Press) (1981)
R F Casten and D D Warner Rev. Mod. Phys.60 389 (1988)
F Iachello Phys. Rev. Lett.44 772 (1980)
M A Al-Jubbori, H H Kassim, F I Sharrad and I Hossain Nucl. Phys. A955 101 (2016)
A Arima, F Iachello Ann. Phys.281 2 (2000)
R F Casten Rom. Rep. Phys.57 515 (2005)
E A McCutchan and R F Casten Phys. Rev. C74 057302 (2006)
A A Raduta, A C Gheorghe, P Buganu, and A Faessler, Nucl. Phys. A819 46 (2009)
A Gheorghe, A A Raduta, and A Faessler, Phys. Lett. B648 171 (2007)
A A Raduta, V Ceausescu, A Gheorghe, and R M Dreizler Nucl. Phys. A381 253 (1982)
P H Regan et al. Phys. Rev. Lett.90 152502 (2003)
G Scharff-Goldhaber and J Weneser Phys. Rev.98 212 (1955)
A Bohr and B R Mottelson Mat. Fys. Medd27 16(1953)
C M Baglin Nucl. Data Sheets111 1807 (2010)
C M Baglin Nucl. Data Sheets96 611 (2002)
B Singe Nucl. Data Sheets75 199 (1995)
E Browne and H Junde Nucl. Data Sheets87 15 (1999)
M S Basunia, Nucl. Data Sheets107 791(2006)
E Achterberg, O A Capurro and G V Marti Nucl. Data Sheets110 1473 (2009)
S C Wu and H Niu Nucl. Data Sheets100 483 (2003)
D Bonatsos and L D Skouras Phys. Rev. C43 952R (1991)
A Shelley, I Hossain, Fadhil I Sharrad, Hewa Y Abdullah and M A Saeed Prob. Atom. Sci.& Tech.64 38 (2015)
F I Sharrad, H Y Abdullah, N Al-Dahan, A A Mohammed-Ali, A A Okhunov, H Abu Kassim Romanian J. Phys.57 1346 (2012)
M A Al-Jubbori Ukrain J. Phys.62 936 (2017)
O Scholten Computer code PHINT KVI: Groningen Holland (1980)
D Bonatsos (1988) Phys. Lett. B200 1
D Bonatsos et al. Phys. Rev. C62 024301 (2000)
H H Kassim, A A Mohammed-Ali, F I Sharrad, I Hossain and K S Jassim Iran J. Sci. Tech. Trans. Sci. https://doi.org/10.1007/s40995-016-0104-x
H H Kassim and F I Sharrad Int. J. Modern Phys. E23 1450070 (2014)
S Raman, C W Nestor and P Tikaneny Atom. Data Nucl. Data Tables78 1 (2001)
A E L Dieperink, O Scholten, and F Iachello Phys. Rev. Lett.44 1747 (1980)
H H Kassim and F I Sharrad Nucl. Phys. A933 1 (2015)
Acknowledgements
We thank Department of Physics, College of Science, University of Kerbala, and Department of Physics, College of Education for Pure Science, University of Mosul, for supporting this work. The authors also thank Dr. Ammar Zakar, Department of Physics, College of Education for Pure Science, University of Mosul, for proofreading the draft.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Al-Jubbori, M.A., Kassim, H.H., Abd-Aljbar, A.A. et al. Nuclear structure of the even–even rare-earth Er–Os nuclei for N = 102. Indian J Phys 94, 379–390 (2020). https://doi.org/10.1007/s12648-019-01461-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12648-019-01461-3