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Double beta decay of $^{136}$Xe to excited states of $^{136}$Ba (DBD-ES) hasnot yet been discovered experimentally yet. The experimental signature of suchdecays, one or two gamma rays following the beta signals, can be identifiedmore effectively in a gaseous detector with the help of topological signatures.We have investigated key parameters of particle trajectories of DBD-ES withMonte Carlo simulation data of the proposed PandaX-III detector as an example.The background rates can be reduced by about one order of magnitude whilekeeping more than half of signals with topological analysis. The estimatedhalf-life sensitivity of DBD-ES can be improved by 1.8 times to4.1$\times$10$^{23}$ yr (90\% CL). Similarly, the half-life sensitivity ofneutrinoless double beta decay of $^{136}$Xe to excited states of $^{136}$Bacan be improved by a factor of 4.8 with topological signatures.

Enhanced search sensitivity to the double beta decay of $^{136}$Xe to excited states with topological signatures