  A collective model is proposed to describe the chiral rotation and vibration
and applied to a system with one $h_{11/2}$ proton particle and one $h_{11/2}$
neutron hole coupled to a triaxial rigid rotor. The collective Hamiltonian is
constructed from the potential energy and mass parameter obtained in the tilted
axis cranking approach. By diagonalizing the collective Hamiltonian with a box
boundary condition, it is found that for the chiral rotation, the partner
states become more degenerate with the increase of the cranking frequency, and
for the chiral vibrations, their important roles for the collective excitation
are revealed at the beginning of the chiral rotation region.
