Figure 1

Cross sections for the exclusive reaction, ${}^{12}$C (${\nu }_e$, $e^{-}$) ${}^{12}$N (1${}_{\mathrm{g}.\mathrm{s}.}^{+}$), obtained by shell-model calculations with the use of SFO and CK. Experimental data are taken from Ref. [18].Reuse & Permissions

Figure 2

Partial cross sections for the reaction, ${}^{13}$C (${\nu }_e$, $e^{-}$) ${}^{13}$N, leading to various excited states in the daughter nucleus. Calculations with the SFO Hamiltonian are indicated by lines. The solid line is for the ground state. The dot-dashed, dashed, and dot-dot-dashed lines are for the 2.365 MeV, 3.502 MeV, and 7.376 MeV excited states in ${}^{13}$N, respectively. Calculations with the CK Hamiltonian are indicated by circles. Solid circles are for the transition to ground state and open circles are for the 3.502 MeV state.Reuse & Permissions

Figure 3

States of the ${}^{13}$C and ${}^{13}$N nuclei included in this work.Reuse & Permissions

Figure 4

An illustration of the spread of the electron neutrino count rate with different reactor neutrino flux models for the charged-current transition to the ${}^{13}$N ground-state. Models from Refs. [22, 23, 24] are used.Reuse & Permissions

Figure 5

Partial cross sections for the reaction, ${}^{13}$C (${\overline{\nu }}_e$, ${\overline{\nu }}_e^{\prime }$) ${}^{13}$C, leading to various excited states in the daughter nucleus, calculated with the SFO Hamiltonian. The solid, short-dashed, long-dashed (smallest cross section), and dot-dashed lines are for the excitation of 3.089 MeV, 3.685 MeV, 3.854 MeV, and 7.547 MeV excited states in the ${}^{13}$C, respectively. For comparison, transition to the 3.685 MeV state, calculated with the CK Hamiltonian, is shown as open circles.Reuse & Permissions