Expansion of the resolvent in a Feshbach model

Abstract

In this paper we extend the results proved in (Carlone, R., Correggi, M., Finco, D., Teta, A.: A model for Feshbach Resonances arXiv:1901.08282 [math-ph]) about Feshbach resonances in a multichannel Hamiltonian H, proving a low energy expansion of the resolvent (H-k2)-1 as k 0 in the resonant case.

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