Abstract
The role of the nucleon recoil corrections in low-energy meson–nucleus interactions is examined. We demonstrate explicitly when calculations within the static approximation are justified and when the recoil terms need to be kept explicitly in the propagators, depending on whether the S-wave two-nucleon intermediate state is Pauli blocked or not, while the meson is in flight. While the effect is studied in detail for πd scattering only, a large class of other reactions is discussed for which the findings are relevant as well.
Highlights
Low–energy meson–nucleon reactions are of great theoretical interest for they are one of the best tools to deepen our understanding of the nuclear many-body problem
In this note we investigate under what circumstances the static approximation is justified and identify reactions where the recoil corrections are to play a significant role
We have studied the role of recoil corrections in low–energy meson–nucleus reactions
Summary
Low–energy meson–nucleon reactions are of great theoretical interest for they are one of the best tools to deepen our understanding of the nuclear many-body problem. The production and scattering of the lightest member of the Goldstone nonet, i.e. the pion, on nuclei is the subject of special experimental and theoretical interest since they allow to test predictions of chiral perturbation theory and—within this scheme—quantify the effect of isospin violation in the strong πN interaction. Pion-nucleus reactions can be used to get information on the elementary pion–neutron interactions. Detailed knowledge of the latter is important to fix the isoscalar pion–nucleon scattering length. The calculation of the production and scattering processes for heavier mesons on nuclei is more difficult but not less interesting. The reactions involving the η meson can be used to explore the possibility of the formation
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