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

We implement the de-excitation processes of residual nuclei associated with proton decays in $^{12} {\rm C}$ based on the GENIE generator and TALYS code. 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 calculation can partly account for the experimental data.
Comment: 9 pages, 8 figures and 7 tables; v3: some discussions added, to appear in Physics Letters B