Abstract
In this paper, the yrast bands of the even 96,98Ru isotopes are studied within the framework of the interacting boson model-1 (IBM-1), using the MATLAB computer code (IBM-1.Mat). The theoretical energy levels are obtained for the 96,98Ru isotopes, with neutron numbers 52 and 54, up to spin-parity 16+ and 12+, respectively. The ratio of the excitation energies of the first 4+ to the first 2+ excited states (R 4/2), the backbending curves and the potential energy surfaces are also calculated. The calculated and experimental R4/2 values show that the 96,98Ru nuclei have U(5) dynamic symmetry. The calculated energies of the yrast states are compared with experimental results and they are shown to be in good agreement with the data. The contour plots of the potential energy surfaces show two interesting nuclei having a slightly oblate but almost spherical vibrator-like character.
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References
A. Aritma and F. Iachello, The interacting boson model, (Cambridge Univ. Press, 1987)
J. Kotila, J. Suhonen, D.S. Delion, Phys. Rev. C 68, 054322 (2003)
X.L. Che et al., Chin. Phys. Lett. 21, 1904 (2004)
X.L. Che et al., Chin. Phys. Lett. 23, 328 (2006)
Y. Luo et al., Int. J. Mod. Phys. E 18, 1717 (2009)
A. Frank, P. Van Isacker, D.D. Warner, Phys. Lett. B 197, 474 (1987)
D. Troltenier, J.A. Maruhm, W. Greiner, V.A. Velazquez, P.O. Hess, J.H.Z. Hamilton, Phys. A 338, 261 (1991)
I.M. Ahmed et al., Int. J. Mod. Phys. E 21, 1250101 (2012)
H.Y. Abdullah et al., Indian J. Phys. 87, 571 (2013)
I. Hossain, M.A. Saeed, N.N.A.M.B. Ghani, H. Saadeh, M. Hussein, H.Y. Abdullah, Indian J. Phys. 88, 5 (2014)
I. Hossain, H.Y. Abdullah, I.M. Ahmed, M.A. Saeed, Chin. Phys. C 38, 024104 (2014)
F.I. Sharrad, H.Y. Abdullah, N. Al-Dahan, N.M. Umran, A.A. Okhunov, H. Abu Kassim, Chin. Phys. C 37, 034101 (2013)
L.K. Green, Nuclear structure of 112Cd through studies of β decay. Α M.Sc. thesis. The University of Green, (2009)
O. Scholten et al., Ann. Phys. 115, 325 (1978)
K.A. Al-Maqtary, Jordan J. Phys. 6, 95 (2013)
F. Lachello, in Nuclear structure, ed. by K. Abraham, K. Allaart, A.E.L. Dieperink (Plenum, New York, 1981)
P. Van Isacker, The interacting boson model, nuclear structure and decay data: theory and evaluation workshop, Trieste - Italy, 04–15 April (2005)
V.N. Zamfir, R.F. Casten, Proc. Rom. Acad. Ser. A 4, 1 (2003)
M.I.T.T.A.L. Harish Mohan, D.E.V.I. Vidya, Turk. J. Phys. 36, 117 (2012)
R.F. Casten, D.D. Warner, Rev. Mod. Phys. 60, 389 (1988)
B. Richard & Firestone, Table of isotopes (John Willey & Sons, 1999)
L.M. Robledo et al., J. Phys. G: Nucl. Part Phys. 36, 115104 (2009)
K. Nomura et al., J. Phys. Conf. Ser. 267, 012050 (2009)
R.F. Casten, N.V. Zamfir, Phys. Lett. 87, 052503 (2001)
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Authors give thanks to King Abdulaziz University in providing the fund to complete the project.
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Sharrad, F.I., Hossain, I., Ahmed, I.M. et al. U(5) Symmetry of Even 96,98Ru Isotopes Under the Framework of Interacting Boson Model (IBM-1). Braz J Phys 45, 340–346 (2015). https://doi.org/10.1007/s13538-015-0302-6
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DOI: https://doi.org/10.1007/s13538-015-0302-6