Resonances in three-body scattering theory

Resonances of the three-body Schrödinger operator with exponentially decaying two-body interactions are characterized for negative energies as (1) poles of an analytically continued resolvent acting between certain exponentially weighted spaces; (2) eigenvalues of the Schrödinger operator acting in a suitable space; (3) singular points of the Faddeev matrix; (4) singular points of the Lippman—Schwinger operator; (5) poles of the S-matrix; (6) poles of analytic families of exponentially growing eigenfunctions.