Describe of Nuclear Structure for Germanium (_32^66)Ge_34) Nucleus under frame (IBM-1, GVMI and VMI) Models
Keywords:
Nuclear structure, (_32^66Ge_34), (IBM-1, GVMI and VMI) Models
Abstract
In this paper, the interacting bosons model-1 (IBM-1), a variable moment of inertia (VMI) and generalized moment of inertia (GVMI) models were used to calculate the energy levels of the positive parity and its gamma transitions as a function of the angular momentum of even-even (_32^66Ge_34) nucleus. To determine the dynamic symmetry of this nucleus, the ratios of the energy levels (E_4^+)⁄(E_2^+ ), (E_6^+)⁄(E_2^+), and (E_8^+)⁄(E_2^+) were evaluated and compared with experimental energy values and the ideal scheme of the three dynamic symmetries SU(5), SU(3), and O(6). The current study showed that the dynamic symmetry of this nucleus is determined to be O(6) - SU(5). The intersection of the energy band and the phenomenon of back bending were also studied using the (VMI) and (GVMI) models. These consequences were compared with the experimental results, and the results obtained have been in good agreement.
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P. 309-312 (1974).
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B, Vol. 76, P. 139-143 (1978).
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description of 170Er, 172Yb, 174Hf, 176W isotones", IOP Conf. Ser. Mater. Sci. Eng., Vol. 928,
P. 1-7 (2020).
[7] Scharf-Goldhaber G., Dover C. B., Goodman A. I., "The Variable Moment of Inertia (VMI)
Model and Theories of Nuclear Collective Motion", Annu. Rev. Nucl. Sci.,Vol. 26 P. 239-317
(1976).
[8] Mariscotti M.A.J., Scharf-Goldhaber G. and Buck B., "Phenomenological Analysis of Ground-
State Bands in Even-Even Nuclei", Phys. Rev., Vol. 178, P. 1864-1887 (1969).
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Rev. C, Vol. 29, P.1879-1886 (1984).
[10] Arima A. and Iachello F., "The interacting boson model", Ann. Phys. (N.Y), Vol. 21, P. 75-105
(1981).
[11] Iachello F., "Algebraic approach to nuclear structure", Nucl. Phys. A, Vol. 369, P. 233-243
(1983).
[12] Krane, K. S.," Introductory Nuclear Phys.", John Wiley and Sons (1988).
[13] Arima A. and Iachello F., "Interacting boson model of collective states I. The vibrational
limit", Ann. Phys., Vol. 99, P. 253-317 (1976).
[14] Arima A. and Iachello F., " Interacting boson model of collective nuclear states II. The
rotational limit", Ann. Phys., Vol. 111, P. 201-238 (1978) .
[15] Arima A. and Iachello F., "Interacting boson model of collective nuclear states IV. The
O(6) limit", Ann. Phys.,Vol. 123, P. 468-492 (1979) .
[16] Khalaf A. M., Okasha M.D., Ahmed G.S.M., Abdelsalam A., "Identical bands in doubly even
nuclei in framework of variable moment of inertia (VMI) and interacting boson models", Nucl.
Phys. A, P. 1-16, Vol. 997,(2020).
[17] Venkova T. S. and Andreit Scheff W.," Transition strengths B(E2) in the yrast bands of doubly
even nuclei", Atomic data and nuclear data tables, Vol. 26, P. 93-136 (1981).
[18] Nojarov R. and Nodjakov E., "Band Coupling and Crossing in Nuclei", Nucl. Phys. A,
Vol. 397, P. 29 (1983).
[19] Holmberg P., "Calculation of rotational states in deformed nuclei", Neutron capture-Gamma ray
spectroscopy, P.463-467 (1969).
[20] Johnson A., Ryde H. and Sztarkier J., "Evidence for a “singularity” in the nuclear rotational
band structure", phys. Let. B, Vol. 34, P. 605-608 (1971).
[21] Ward D., Graham R.L.,Geijer J.S. and Androws H.R., "Anomalous Moments of Inertia for
High-spin Levels in The Beta Vibration Band of ", Phys. Lett. B,Vol. 44, P. 39-40 (1973).
[22] Birbrair B.L., "Influence of the nuclear Meissner - effect on the ground - state rotational bands
of deformed nuclei", phys. Let. B ,Vol. 39, P. 489-491 (1972).
[23] W. Greiner and J. A. Maruhn, "Nuclear Models", Springer Berlin Heidelberg, (1996).
[24] Sakai M., "Quasi-Bands in Even-Even Nuclei", Atomic data and nuclear data tables, Vol. 31, P.
399-432 (1984).
[25] Murray R., Spiegel and Larry J. Stephens," schaum's outlines statistics", Ed. Mc Graw Hill
(1999).
[26] E. Browne and J. K. Tuli, "Nuclear Data Sheet for A= 66", Vol. 111, P. 1093-1209 (2010).
[27] Casten R.F., and Warner D.D, "The interaction boson approximation", Rev. Mod. Phys., Vol.
60, P. 389-469 (1988).
Published
2023-06-02
Cited
How to Cite
Hamdi, I. A., & Aobaid, A. K. (2023). Describe of Nuclear Structure for Germanium (_32^66)Ge_34) Nucleus under frame (IBM-1, GVMI and VMI) Models . East European Journal of Physics, (2), 85-90. https://doi.org/10.26565/2312-4334-2023-2-06
Section
Original Papers
Copyright (c) 2023 Imad Hamdi, Ali Aobaid
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