Multiple $SU(3)$ algebras in interacting boson model and shell model: Results for $(\beta ,\gamma$) bands and scissors $1^{+}$ band

V. K. B. Kota, R. Sahu

Shell model and interacting boson model spaces admit multiple $S{U}^{(\alpha )}(3)$ algebras generating the same rotational spectra but different $E2$ decay properties, depending on the ph…