These emitted electrons get trapped within the perimeter of the atom, and are confined around the nucleus in what is being termed an intra-atomic "dance."
Once the intra-atomic forces were balanced by the first few electrons emitted, the rest left the atom as soon as they were emitted and hence "won" the race despite not being the first electrons to get ejected.
The Hamiltonian of the heavy Fermion systems composed of conduction electron band, f-electron band, the hybridization of conduction electron and -electron band, BCS-like pairing band, and the intra-atomic Coulomb interaction of f-electron.
The conduction band makes the intra-atomic Coulomb interaction with other f-electron band.
The spin-polarized GGA+U approach introduced an intra-atomic
electron-electron interaction as an on-site correction to describe systems with localized d and f electrons capable of producing a more optimal band gap.