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Nature of \(K^{\pi}=0_{2}^{+}\) bands in A=140-180 region, a global analysis

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Abstract.

The nature of \(K^{\pi}=0_{2}^{+}\) band is analyzed in the light of the variation of the \( E(0_{2}^{+})\) and \(B(E2)\) values, with N and Z, for the \(A=140-180\) region. The absolute \(B(E2)\) strengths for the excitation of \(2_{\gamma}\) and \( 2_{K=02}\) states are studied. Also the roles of \(B(E2,0_{2}^{+}-2_{g})\) and \( B(E2,0_{2}^{+}-2_{\gamma})\) are discussed. Comparison with the dynamic pairing plus quadrupole model, for all the nuclei studied here, are made on a global basis. The lack of overlap in the wave function amplitudes \(A_{200}(\beta,\gamma)\) of \(0_{2}^{+}\) and \(A_{100}(\beta,\gamma)\) of the ground state also explains the reduced \(B(E2,\beta -g)\) strength. The \( B(E2,2_{\beta}\rightarrow 0_{\beta})\) is a good measure of the rotational collectivity (deformation) of the band. Shape coexistence at N = 88, 90 nuclei is reviewed. The possibility of \( K^{\pi}=0_{2}^{+}\) as a \( \gamma\gamma\)-vibration, when allowed by energy, in expected cases is examined. The interacting boson model predictions are also considered as required.

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Gupta, J.B., Hamilton, J.H. Nature of \(K^{\pi}=0_{2}^{+}\) bands in A=140-180 region, a global analysis. Eur. Phys. J. A 51, 151 (2015). https://doi.org/10.1140/epja/i2015-15151-7

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