Ladder resummation of spin 1/2 fermion many-body systems with arbitrary partial-wave content
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/60653DOI: 10.1016/j.aop.2021.168741
ISSN: 0003-4916
Publisher
Elsevier
Date
2022-02-01Funders
Agencia Estatal de Investigación
European Commission
Bibliographic citation
Alarcón Soriano, J.M. & Oller Berber, J.A. 2022, "Ladder resummation of spin 1/2 fermion many-body systems with arbitrary partial-wave content", Annals of Physics, vol. 430, art. no. 168741, pp. 1-43.
Keywords
Non-perturbative method
Many-body field theory
Ladder resummation
Renormalization
Project
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-106080GB-C21/ES/FISICA HADRONICA Y CROMODINAMICA CUANTICA: DESDE LAS BAJAS ENERGIAS HASTA EL LHC/
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-106080GB-C22/ES/METODOS NO PERTURBATIVOS DE MATRIZ S PARA EL ESTUDIO DE POTENCIALES SINGULARES%2FREGULARES, RESONANCIAS, ESTADOS LIGADOS Y SISTEMAS A DENSIDAD FINITA/
info:eu-repo/grantAgreement/EC/H2020/824093/EU/THE STRONG INTERACTION AT THE FRONTIER OF KNOWLEDGE: FUNDAMENTAL RESEARCH AND APPLICATIONS/STRONG-2020
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/publishedVersion
Publisher's version
https://doi.org/10.1016/j.aop.2021.168741Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2021 The authors
Access rights
info:eu-repo/semantics/openAccess
Abstract
We resum the ladder diagrams for the calculation of the en ergy density E of a spin 1/2 fermion many-body system in terms of arbitrary vacuum two-body scattering amplitudes. The partial-wave decomposition of the in-medium two-body scatter ing amplitudes is developed, and the expression for calculating E in a partial-wave amplitude expansion is also given. The case of contact interactions is completely solved for any con tent in partial waves and it is shown to provide renormalized results, expressed directly in terms of scattering data parameters, within cutoff regularization in a wide class of schemes. The S- and P-wave interactions are considered up to including the first three-terms in the effective-range expansion, paying special attention to the parametric region around the unitary limit
Files in this item
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Ladder_Alarcon_Ann_Phys_2022.pdf | 1.341Mb |
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Files | Size | Format |
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Ladder_Alarcon_Ann_Phys_2022.pdf | 1.341Mb |
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