When the particle oscillates it does not mean that it is absorbing and emitting photon along the way. The particle oscillates at the elevated energy density state \(\psi_n\), until it emits the packet of energy and return to ground state \(\psi_o\). When it does so,
\(F=\psi_{o}-\psi(x)=m\cfrac{dv}{dt}=m\cfrac{d^2x}{dt^2}\)
\(\cfrac{d^2x}{dt^2}+\cfrac{1}{m}\psi(x)=\cfrac{1}{m}\psi_{o}\)
These are the same equations as before, except,
\(F\lt0\)
\(F\) drives the particle towards region of lesser \(\psi\) and oscillates about \(x=x_o\), when
\(\psi(x_o)=\psi_o\)
Since \(\psi_o\) is valid for both transit and non-transit particle, the transit particle will not be driven too far in.
Up till this point there is still no need for a proton/neutron nucleus. What happened?
