  Referring to a recent experiment, we theoretically study the process of a
two-channel decay of the diatomic silver anion (Ag$_2^-$), namely the
spontaneous electron ejection giving Ag$_2$ + e$^-$ and the dissociation
leading to Ag$^-$ + Ag. The ground state potential energy curves of the silver
molecules of diatomic neutral and negative ion were calculated using proper
pseudo-potentials and atomic basis sets. We also estimated the non-adiabatic
electronic coupling between the ground state of Ag$_2^-$ and the ground state
of Ag$_2$ + e$^-$, which in turn allowed us to estimate the minimal and mean
values of the electron autodetachment lifetimes. The relative energies of the
rovibrational levels allow the description of the spontaneous electron emission
process, while the description of the rotational dissociation is treated with
the quantum dynamics method as well as time-independent methods. The results of
our calculations are verified by comparison with experimental data.
