Chiral Wobbling in $^{135}$Pr

Chirality and wobbling are the two unique signatures that help in the identification of the rare triaxial shape in nuclei. While both these modes have been separately established in a few limited regions of the nuclear chart, the coexistence of chirality and wobbling in a nucleus, a Chiral Wobbler, has never been observed so far. Using a high statistics Gammasphere experiment with the $^{123}$Sb($^{16}$O,4n)$^{135}$Pr reaction, the very first observation of a Chiral Wobbler in $^{135}$Pr has been made. In addition to the previously established n$_{\omega}$ = 1 and n$_{\omega}$ = 2 wobbling bands, two chiral-partner bands with the configuration $\pi h_{11/2}$ $\times$ $\nu h_{11/2}^{-2}$ have been observed in this nucleus. Angular distribution analyses of the $\Delta$I = 1 connecting transitions between the two chiral partners have revealed their characteristic M1/E2 nature. Tilted axis cranking (TAC) calculations are found to be in good agreement with the experiment.