  Covariant density functional theory and three-dimensional tilted axis
cranking are used to investigate multiple chirality in nuclear rotation for the
first time in a fully self-consistent and microscopic way. Two distinct sets of
chiral solutions with negative and positive parities, respectively, are found
in the nucleus 106Rh. The negative-parity solutions reproduce well the
corresponding experimental spectrum as well as the B(M1)/B(E2) ratios of the
transition strengths. This indicates that a predicted positive-parity chiral
band should also exist. Therefore, it provides a further strong hint that
multiple chirality is realized in nuclei.
