Delay of photoelectrons emitted from the ionized Ne $2s$ and $2p$ shells including photoelectron scattering

Formulas to calculate the atomic photoionization delay have been derived taking into account the interaction between the channels and the scattering of a photoelectron. The photoionization delay difference between Ne $2s$ and $2p$ shells has been calculated for photon energies up to $200$ eV. The calculated delay difference at a photon energy of $105$ eV is $18.5$ as, which is approximately $8$ as larger than delay differences previously calculated taking into account only the interactions between the channels and is in agreement within the experimental error with two existing experimental values.