Band structure and shape coexistence in56135Ba79

Excited states of ${}_{56}^{135}{\mathrm{Ba}}_{79}$ at high spins are studied using the reaction $^{130}\mathrm{Te}$($^{9}\mathrm{Be}$,$4n$)${}_{56}^{135}{\mathrm{Ba}}_{79}$ at $42.5$-MeV beam energy. The earlier known level scheme is extended up to $6.4$-MeV excitation energy and ($37/2$)$\ensuremath{\hbar}$ spin with the addition of several transitions. We have performed polarization asymmetry measurements for some of the strong transitions by using a Clover detector to assign the parity. A comparison of experimental data with the results of tilted axis cranking calculations based on various configurations indicates the coexistence of multiple minima in the triaxial deformation ($\ensuremath{\gamma}$), whereas axial symmetric deformation (${\ensuremath{\epsilon}}_{2}$) remains constant around $0.09$.