Limits on single and double Majoron emission processes in neutrinoless doubleβdecay ofMo100

The single Majoron emission mode ($\beta \beta B$) and the double Majoron emission mode ($\beta \beta \mathrm{BB}$) in the neutrinoless double $\beta$ decays of ${}_{}{}^{100}{}_{}{}^{}\mathrm{Mo}$ were studied by using the ultralow background nuclear spectrometer ELEGANTS V. Lower limits on the half-lives were deduced as $T_{\frac{1}{2}}^{\beta \beta B}>7.9\mathrm{}\times {10}^{20}$ yr and $T_{\frac{1}{2}}^{\beta \beta \mathrm{BB}}>5.3\mathrm{}\times {10}^{19}$ yr (68% C.L.), respectively. They set the upper limit of $\left|〈g_B〉\right|<\mathrm{}2.0\mathrm{}\times {10}^{-4\mathrm{}}$ on the Majoron coupling constant, and the lower limit of $M_{\tilde{Z}}>0.038\mathrm{}$ GeV on the Majorana mass of the $Z$-ino.