γ-band staggering and E(5)-type structure:Zn64
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Abstract
The staggering factor ${S}_{4}$ in the quasi-\ensuremath{\gamma} band was used for the first time as a signature of the E(5) symmetry. This observable, together with the ${R}_{4/2}$ ratio is used to find E(5) type nuclei in the $Z=28\text{--}50$ and $Z=50\text{--}82$ shells. An E(5) candidate is found to be $^{64}\mathrm{Zn}$. Low-spin states in $^{64}\mathrm{Zn}$ populated in the $\ensuremath{\epsilon}/{\ensuremath{\beta}}^{+}$ decay of $^{64}\mathrm{Ga}$, produced in the $^{54}\mathrm{Fe}$($^{12}\mathrm{C}$,$\mathit{pn}$)$^{64}\mathrm{Ga}$, were studied through off-beam \ensuremath{\gamma}-ray spectroscopy. The decay scheme of $^{64}\mathrm{Zn}$ is found to be reasonably close to the predictions of the E(5) critical point symmetry. The structure of the excited ${0}^{+}$ states in $^{64}\mathrm{Zn}$ and their behavior in the Zn isotopic chain is discussed.
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