High-level book on scattering in quantum mechanics

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I'm interested in a book which treats scattering in quantum mechanics aimed at the research-level. I'm particularly interested in a text which focuses on mathematical details such as the analytic structure of the S matrix, the relation between the S matrix and various green's/two-point functions, the meaning of poles in the S matrix and the relevance to where they lie on the complex plane, etc.

One major point of confusion I've always had is that scattering is treated quite differently in graduate QM courses and QFT courses, and so a book which treats both in a unified way would be ideal.
 
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Do you know Taylor's "Scattering Theory: The Quantum Theory of Nonrelativistic Collisions"? I'm not sure if it is high-level enough for your purposes, though.
 
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I'd forgotten about Taylor, but looking it up I see that I've actually looked at it before when I had questions about scattering, thanks! I was aiming for a higher level but this definitely looks like a good place to start when I have questions.