  Doublet bands observed in $^{124,126,130,132}$Cs isotopes are studied using
the recently developed multi-quasiparticle microscopic triaxial projected shell
model (TPSM) approach. It is shown that TPSM results for energies and
transition probabilities are in good agreement with known energies and the
recently measured extensive data on transition probabilities for the bands in
$^{126}$Cs. In particular, it is demonstrated that characteristics transition
probabilities expected for the doublet bands to originate from the chiral
symmetry breaking are well reproduced in the present work. The calculated
energies for $^{124,130,132}$Cs are also shown to be in reasonable agreement
with the available experimental data. Furthermore, a complete set of the
calculated transition probabilities is provided for the doublet bands in
$^{124,130,132}$Cs isotopes.
