Shell model (SM) and interacting boson model (IBM) spaces admit multiple $S{U}^{(\mathit{\alpha })}(3)$ algebras generating the same rotational spectra but different E2 decay properties, depending on the phases α in the quadrupole generator. In the ground (g) $K=0^{+}$ bands in nuclei this is demonstrated recently using systems with nucleons in a single oscillator shell (Kota et al. (2019) [23]; (2020) [25]). Going beyond these preliminary studies, results are presented here for E2 decay properties of β and γ bands members, as generated by multiple $SU(3)$ algebras, using sdgIBM and $sdgi$IBM examples. Also, presented are some results for the γ band using a SM example with eight protons in sdg space. In addition, results are presented for the E2 and M1 decay properties of the levels of the scissors $1^{+}$ band in heavy nuclei using sdgIBM-2 and $sdgi$IBM-2. The scissors $1^{+}$ band properties are also studied using a SM example with six protons in $(pf)$ shell and twelve neutrons in $(sdg)$ shell. These results establish that: (i) with multiple $SU(3)$ algebras, it is possible to have rotational bands with very weak E2 strengths among the levels where normally one expects strong strengths; (ii) E2 decay strengths of the levels of γ band (also β band) to the ground band levels are quite different for some of the $S{U}^{(\mathit{\alpha })}(3)$ algebras with strong dependence on $(\mathit{\alpha })$; (iii) it is possible to have the scissors $1^{+}$ band with the E2 and M1 decay of the low-lying levels of this band to the g band levels are strong or weak depending on $(\mathit{\alpha })$.

壳模型 (SM) 和相互作用玻色子模型 (IBM) 空间承认多个 $秒{你}^{(\mathit{\alpha })}(3)$代数产生相同的旋转光谱但不同的E 2 衰减特性，这取决于四极杆发生器中的相位α。在地面（克）$钾=0^{+}$最近使用在单个振荡器壳中具有核子的系统证明了这一点（Kota 等人（2019 年）[23]；（2020 年）[25]）。除了这些初步研究之外，这里还介绍了β和γ波段成员的E 2 衰减特性的结果，这些特性由多个$秒你(3)$代数，使用sdg IBM 和$秒dG\mathrm{一世}$IBM 示例。此外，还使用sdg空间中具有八个质子的 SM 示例展示了γ波段的一些结果。此外，还提供了剪刀能级的E 2 和M 1 衰减特性的结果$1^{+}$使用sdg IBM-2 和$秒dG\mathrm{一世}$IBM-2。剪刀$1^{+}$ 还使用具有六个质子的 SM 示例研究了能带特性 $(磷F)$ 壳和十二个中子 $(秒dG)$贝壳。这些结果表明：(i) 具有多个$秒你(3)$代数，在通常人们期望强强度的水平中，可能有具有非常弱的E 2 强度的旋转带；(ii) γ波段（也是β波段）的能级与地波段能级的E 2 衰减强度对于某些$秒{你}^{(\mathit{\alpha })}(3)$ 强依赖的代数 $(\mathit{\alpha })$; (iii) 可以有剪刀$1^{+}$带E 2 和M 1 衰减该频段的低电平到g频段电平的强或弱取决于$(\mathit{\alpha })$.