The light \(Z=54\) Xe isotopes in the \(A=130\) region, have been studied in the last 4 decades, in experiment and in theory. For (\(N < 82\)) region, the evolution of the nuclear structure between the analytical symmetries U(5) and O(6) with neutron number N, is shown to be different for \(N=60\hbox {--}68\) and \(N=70\hbox {--}78\). Here we focus on the lighter mass group. The shape transition between U(5) and O(6) symmetry is studied in terms of the variation in quadrupole deformation with N, the variation of the \(\upgamma \)-band and the growth of the \(K^{{\uppi }} \quad =0_{\mathrm {2}}^{\mathrm {+}}\) band and \(0_{\mathrm {3}}^{\mathrm {+}}\) state. The effect of increasing triaxiality varying with N is illustrated. This variation is also reflected in the B(E2) values and the interband E2 transitions. Also, the role of neutrons filling the Nilsson single particle orbits in changing the spectra is studied. The sd interacting boson model IBM-1 is used to reproduce this spectral evolution. The study of the shape change between the analytical symmetries leads to the underlying basic physics.

在过去的四十年中，已经在实验和理论上研究了\（A = 130 \）区域中的轻\（Z = 54 \） Xe同位素。对于（\（N <82 \） ）区域，该分析对称性之间的核结构的演变U（5）和O（6）与中子数Ñ，被示出为对于不同\（N = 60 \ hbox中{ -} 68 \）和\（N = 70 \ hbox {-} 78 \）。在这里，我们专注于较轻的质量组。根据四极变形随N的变化，\（\ upgamma \）谱带的变化以及\（K ^ {{ \ uppi}} \ quad = 0 _ {\ mathrm {2}} ^ {\ mathrm {+}} \）带和\（0 _ {\ mathrm {3}} ^ {\ mathrm {+}} \）状态。说明了随着N变化而增加三轴性的效果。这种变化也反映在B（E 2）值和带间E 2跃迁中。此外，还研究了中子填充尼尔森单粒子轨道在改变光谱中的作用。sd相互作用玻色子模型IBM-1用于重现此光谱演化。对分析对称性之间的形状变化的研究导致了基础的基础物理学。