Shell-model calculations are performed using NuShellX code in the model space $$\pi $$($$f_{5/2}$$, $$p_{3/2}$$, $$p_{1/2}$$, $$g_{9/2}$$) $$\otimes $$ $$\nu $$($$g_{9/2}$$, $$g_{7/2}$$, $$d_{5/2}$$, $$h_{11/2}$$), which probe the proton core excitation from the interior of $$Z=38$$ semiclosed shell and neutron core excitation from the interior of $$N=56$$ semiclosed shell for the level structure of $$^{89}$$Sr. Our calculations show that the excitation of a single $$d_{5/2}$$ neutron across $$N=56$$ semiclosed shell into the $$h_{11/2}$$ orbit should have great effects on the excited states of $$^{89}$$Sr. In addition, the systematic features of proton core excitation across $$Z=38$$ semiclosed shell into the $$g_{9/2}$$ orbit and neutron core excitation across $$N=56$$ semiclosed shell into the $$g_{7/2}$$, $$s_{1/2}$$, $$d_{3/2}$$, $$h_{11/2}$$ orbits in $$N=51$$ isotones are discussed.

中文翻译：

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$$^{89}$$89Sr核的核心激发能级结构的壳模型描述和$$N=51$$N=51奇A同位素的系统特征

Shell-model 计算在模型空间 $$\pi $$($$f_{5/2}$$, $$p_{3/2}$$, $$p_{1/2} 中使用 NuShellX 代码执行$$, $$g_{9/2}$$) $$\otimes $$ $$\nu $$($$g_{9/2}$$, $$g_{7/2}$$, $ $d_{5/2}$$, $$h_{11/2}$$)，探测$$Z=38$$半封闭壳内部的质子核激发和$内部的中子核激发$N=56$$ 半封闭外壳，用于$$^{89}$$Sr 的级别结构。我们的计算表明，单个 $$d_{5/2}$$ 中子穿过 $$N=56$$ 半封闭壳激发到 $$h_{11/2}$$ 轨道应该对激发态产生很大的影响。 $$^{89}$$Sr. 的状态 此外，质子核激发穿过$$Z=38$$半封闭壳进入$$g_{9/2}$$轨道和中子核激发穿过$$N=56$$半封闭壳进入$ $g_{7/2}$$、$$s_{1/2}$$、$$d_{3/2}$$、