Possible existence of multiple chiral doublets in 106Rh

Adiabatic and configuration-fixed constrained triaxial relativistic mean field (RMF) approaches are developed for the first time. A new phenomenon, the existence of multiple chiral doublets (M chi D), i.e., more than one pair of chiral doublet bands in one single nucleus, is suggested for Rh-106 based on the triaxial deformations and their corresponding proton and neutron configurations.