Search for E(5) critical point symmetry in light Ge isotopes

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 (S. Bhattacharya et al. Evidence for shape coexistence and E(5) symmetry in ⁶⁸Ge nucleus (under review).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. Key Words: γ-band, E(5) critical point symmetry. (author)