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A reflection-asymmetric triaxial particle rotor model (RAT-PRM) with aquasi-proton and a quasi-neutron coupled with a reflection-asymmetric triaxialrotor is developed and applied to investigate the multiple chiral doublet(M$\chi$D) bands candidates with octupole correlations in $^{78}$Br. Thecalculated excited energies, energy staggering parameters, and $B(M1)/B(E2)$ratios are in a reasonable agreement with the data of the chiral doublet bandswith positive- and negative-parity. The influence of the triaxial deformation$\gamma$ on the calculated $B(E1)$ is found to be significant. By changing$\gamma$ from 16$^\circ$ to 21$^\circ$, the $B(E1)$ values will be enhanced andbetter agreement with the $B(E1)/B(E2)$ data is achieved. The chiral geometrybased on the angular momenta for the rotor, the valence proton and valenceneutron is discussed in details.

Multiple chiral doublet bands with octupole correlations in reflection-asymmetric triaxial particle rotor model