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DOE OSTI · 1849519

Effective field theory for two-body systems with shallow S -wave resonances

Habashi, J. Balal·Fleming, S.·Sen, S.·van Kolck, U.
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Abstract

Resonances are of particular importance to the scattering of composite particles in quantum mechanics. We build an effective field theory for two-body scattering which includes a low-energy S-wave resonance. Our starting point is the most general Lagrangian with short-range interactions. We demonstrate that these interactions can be organized into various orders so as to generate a systematic expansion for an S matrix with two low-energy poles. The pole positions are restricted by renormalization at leading order, where the common feature is a non-positive effective range. We carry out the expansion explicitly to next-to-leading order and illustrate how it systematically accounts for the results of a toy model — a spherical well with a delta shell at its border.

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Habashi, J. Balal, Fleming, S., Sen, S., van Kolck, U.. 2020-08-20. Effective field theory for two-body systems with shallow S -wave resonances. https://doi.org/10.1016/j.aop.2020.168283

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