Channel<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>T</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>K</mml:mi></mml:math>operators and the Heitler damping equation for identical-particle scattering

Abstract

Coupled integral equations linking the direct and exchange (rearrangement) $K$ operators are proposed in analogy to similar ones linking the direct and exchange $T$ operators derived in this paper. It is shown that these pairs of coupled equations lead to the damping equation which was used in previous work on identical-particle scattering and which expresses the unitarity condition. Other formulations of integral equations for the $K$ operator are also discussed.