Energy distributions from three-body decaying many-body resonances

We compute energy distributions of three particles emerging from decaying many-body resonances. We reproduce the measured energy distributions from decays of two archetypal states chosen as the lowest $0^{+}$ and $1^{+}$-resonances in ${}^{12}$C populated in $\beta$-decays. These states are dominated by sequential, through the ${}^8$Be ground state, and direct decays, respectively. These decay mechanisms are reflected in the ``dynamic’’ evolution from small, cluster or shell-model states, to large distances, where the coordinate or momentum space continuum wavefunctions are accurately computed.