Effective field theory for two-body systems with shallow S-wave resonances
AffiliationUniv Arizona, Dept Phys
MetadataShow full item record
CitationHabashi, J. B., Fleming, S., Sen, S., & van Kolck, U. (2020). Effective field theory for two-body systems with shallow S-wave resonances. Annals of Physics, 422, 168283.
JournalANNALS OF PHYSICS
Rights© 2020 Elsevier Inc. All rights reserved.
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at email@example.com.
AbstractResonances 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 La-grangian 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. (C) 2020 Elsevier Inc. All rights reserved.
Note24 month embargo; available online 20 August 2020
VersionFinal accepted manuscript
SponsorsU.S. Department of Energy