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Effective field theory for two-body systems with shallow S-wave resonances
Annals of Physics ( IF 3 ) Pub Date : 2020-11-01 , DOI: 10.1016/j.aop.2020.168283 J. Balal Habashi , S. Fleming , S. Sen , U. van Kolck
Annals of Physics ( IF 3 ) Pub Date : 2020-11-01 , DOI: 10.1016/j.aop.2020.168283 J. Balal Habashi , S. Fleming , S. Sen , U. van Kolck
Abstract Resonances are of particular importance in 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.
更新日期：2020-11-01
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