Rotational bands of positive and negative parity are found experimentally in heavy-deformed even-even nuclei along with their corresponding $E2$ intraband and $E1$ interband transitions. In SU(3) symmetry-based models, calculating the $B\left(E2\right)$ strengths is relatively straightforward due to the relation between the $E2$ operator and the quadrupole generator of the algebra. On the other hand, calculating the $B\left(E1\right)$ strengths is a more challenging task, requiring computations involving the shell-model expansion of the dipole operator and multishell matrix elements. In this work, the $E1$ operator is expanded in SU(3) second-quantization formalism and applied to calculate the interband $B\left(E1\right)$ strengths of the isotope ${}^{224}\mathrm{Th}$ using the semimicroscopic algebraic quartet model (SAQM) based on the recently proposed proxy-SU(3) scheme.

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• Electromagnetic transitions
• Models based on symmetries
• Nuclear structure & decays