Bulg. J. Phys. vol.48 no.5-6 (2021), pp. 541-546

Search for E(5) Critical Point Symmetry in Light Ge Isotopes

S. Bhattacharya1, T. Trivedi1, A. Mukherjee1, R. Palit2, Md.S.R. Laskar2, D. Negi2, J. Sethi2, S. Saha2, S. Rajbanshi3, S. Nag4, M. Kumar Raju5, B.S. Naidu2, S. Jadhav2, R. Dhonti2, A.K. Jain6
1Department of Pure &l; Applied Physics, Guru Ghasidas Vishwavidyalaya, Koni, Bilaspur-495009, India
2Department of Nuclear and Atomic Physics,Tata Institute of Fundamental Research, Mumbai-400005, India
3Department of Physics, Presidency University, Kolkata-700073, India
4Department of Physics, IIT(BHU), Varanasi-221005, India
5Department of Physics, GITAM Institute of Science, Vishakhapatnam-530045, India
6Amity Institute of Nuclear Science &l; Technology, Amity University UP, Noida-201313, India
Abstract. We present here a comparative analysis of even-even Ge isotopes to further understand the γ-vibrational bands and E(5) critical point symmetry based on our recent study on 68Ge nucleus [1]. The properties of 64-72Ge isotopes displaying the characteristics of γ-band have been discussed in terms of energy systematic and variation of R(J)γ, gr parameter. Further, the possibility of the presence of U(5), O(6), and E(5) critical point symmetry in different Ge isotopes are predicted on the basis of experimental level energy ratios of the low lying states. The experimental results of 66,68Ge nucleus are interpreted in terms of interacting boson approximation (IBA) calculations to test the possible existence of E(5) critical point symmetry.

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