Implementation of residual nucleus de-excitations associated with proton decays in $^{12} {\rm C}$ based on the GENIE and TALYS generators

We implement the de-excitation processes of residual nuclei associated with proton decays in $^{12} {\rm C}$ based on the GENIE and TALYS generators. To derive the reasonable excitation energy spectra of residual nuclei $^{11} {\rm B}$, $^{10} {\rm B}$ and $^{10} {\rm Be}$, the default GENIE nucleon decay generator is modified in terms of the Spectral Function nuclear model. Then we use the TALYS code to estimate the de-excitation processes of residual nuclei. The TALYS calculations are partly consistent with the experimental data. The de-excitation neutron emission is more crucial than other particle emissions for liquid scintillator detectors due to the neutron identification capability. We find that the predicted branching ratio of neutron emission can well account for the current experimental measurements.