The \(N=Z=36\) nucleus \(^{72}\)Kr has been studied by inelastic scattering at intermediate energies. Two targets, \(^{9}\)Be and \(^{197}\)Au, were used to extract the nuclear deformation length, \(\delta _\text {N}\), and the reduced E2 transition probability, B(E2). The previously unknown non-yrast \(2^+\) and \(4^+\) states as well as a new candidate for the octupole \(3^-\) state have been observed in the scattering on the Be target and placed in the level scheme based on \(\gamma -\gamma \) coincidences. The second \(2^+\) state was also observed in the scattering on the Au target and the \(B(E2;\;2^+_2 \rightarrow 0^+_1)\) value could be determined for the first time. Analyzing the results in terms of a two-band mixing model shows clear evidence for a oblate-prolate shape coexistence and can be explained by a shape change from an oblate ground state to prolate deformed yrast band from the first \(2^+\) state. This interpretation is corroborated by beyond mean field calculations using the Gogny D1S interaction.

中文翻译：

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通过非弹性散射，在$ N = Z $$ N = Z同位素$$ ^ {72} $$ 72 Kr中揭示了形状共存

的\（N = Z = 36 \）核\（^ {72} \）氪已经研究了非弹性散射在中间能量。使用两个目标\（^ {9} \） Be和\（^ {197} \） Au来提取核变形长度\（\ delta _ \ text {N} \）和简化后的E 2转移概率B（E 2）。在Be目标和目标上的散射中观察到了以前未知的非剧烈的\（2 ^ + \）和\（4 ^ + \）状态以及八极\（3 ^-\）状态的新候选对象。根据\（\ gamma-\ gamma \）巧合放置在级别方案中。第二在金靶上的散射中也观察到\（2 ^ + \）状态，并且可以首次确定\（B（E2; \; 2 ^ + _ 2 \ rightarrow 0 ^ + _ 1）\）值。用两频带混合模型分析结果显示了扁圆形形状共存的明确证据，并且可以通过从第一\（2 ^ + \）从扁圆形基态到扁形变形的yrast带的形状变化来解释。州。使用Gogny D1S交互进行的超出平均范围的计算证实了这种解释。