Abstract
Following the reports of two pairs of chiral doublet bands observed in $^{105}$Rh, the adiabatic and configuration-fixed constrained triaxial relativistic mean-field (RMF) calculations are performed to investigate their triaxial deformations with the corresponding configuration and the possible multiple chiral doublet (M$\chi$D) phenomenon. The existence of M$\chi$D phenomenon in $^{105}$Rh is highly expected.
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