Theoretical studies of the3sand3plinewidths of the elements Kr to Xe

The $3s-3p$ linewidths of the elements Kr ($Z=36\mathrm{}$) to Xe ($Z=54\mathrm{}$) are calculated from first principles within the framework of a free-atomic calculation. The results calculated by taking into account the effects of the localized final-state double holes on the escaping Auger electron are in much better agreement with experiment than those calculated without taking them into account. The results show that the dominating decay processes of the $3s-3p$ holes of the elements Kr to Xe are most likely localized even in solids. The effects of decay and virtual processes of the final double holes on the initial hole lifetime are also discussed.