  The nuclear chiral conundrum with crossing twin bands is investigated with
three-dimensional tilted axis cranking covariant density functional theory in a
fully self-consistent and microscopic way. The energy spectra and
electromagnetic transition strengths for bands 1 and 2 in Ag-106 are well
reproduced with two distinct configurations with two and four quasiparticles,
respectively. For the four-quasiparticle configuration, a chiral vibrational
band on top of band 2 is expected due to the soft Routhian curves. Therefore,
it provides a microscopic and solid solution for the chiral conundrum in
Ag-106. It also paves the way for understanding similar chiral structure in
other nuclei in the future..
