Molecular effects in tritiumβdecay: Transitions to the discrete electronic states of theHeT+molecule

The energies and wave functions for the lowest six electronic ${}_{}{}^1{}_{}{}^{}\mathrm{\Sigma }_{}^{+}{}_{}{}^{}$ states of the ${\mathrm{HeT}}^{+}$ molecule have been obtained for 0.6≤R≤4.0 bohr. The overlap integrals between these wave functions and those for the ground state of the ${\mathrm{T}}_2$ molecule have been calculated. The results show that the probability of ${\mathrm{T}}_2$ decaying into ${\mathrm{HeT}}^{+}$ discrete electronic states amounts to 0.852, with the lowest six states accounting for 0.8422.