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A search for Majoron-emitting modes of the neutrinoless double-beta decay of$^{136}$Xe is performed with the full EXO-200 dataset. This dataset consists ofa total $^{136}$Xe exposure of 234.1 kg$\cdot$yr, and includes data withdetector upgrades that have improved the energy threshold relative to previoussearches. A lower limit of T$_{1/2}^{\rm{^{136}Xe}}>$4.3$\cdot$10$^{24}$ yr at90\% C.L. on the half-life of the spectral index $n=1$ Majoron decay wasobtained, a factor of 3.6 more stringent than the previous limit from EXO-200,corresponding to a constraint on the Majoron-neutrino coupling constant of$|\langle g_{ee}^{M}\rangle|$$<(0.4$-$0.9)\cdot10^{-5}$. The lower thresholdand the additional data taken resulted in a factor 8.4 improvement for the$n=7$ mode compared to the previous EXO search. This search provides the moststringent limits to-date on the Majoron-emitting decays of $^{136}$Xe withspectral indices $n=1,2,3,$ and 7.

Search for Majoron-emitting modes of $^{136}$Xe double beta decay with the complete EXO-200 dataset