Ultracold spin-balanced fermionic quantum liquids with renormalized P-wave interactions
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/60649DOI: 10.1103/PhysRevC.106.054003
ISSN: 0556-2813
Publisher
American Physical Society
Date
2022-11-28Funders
Agencia Estatal de Investigación
Bibliographic citation
Alarcón Soriano, J.M. & Oller Berber, J.A., 2022, "Ultracold spin-balanced fermionic quantum liquids with renormalized P-wave interactions", Physical Review C - Nuclear Physics, vol. 106, art. no. 054003, pp. 1-14.
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/
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/publishedVersion
Publisher's version
https://doi.org/10.1103/PhysRevC.106.054003Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2022 American Physical Society
Access rights
info:eu-repo/semantics/openAccess
Abstract
We consider a spin-balanced degenerate gas of spin-1/2 fermions whose dynamics is governed by low-energy P-wave interactions characterized by the scattering volume a1 and effective momentum r1. The energy per particle ¯¯¯E in the many-body system is calculated by resumming the ladder diagrams comprising both particle-particle and hole-hole intermediate states, following the novel advances recently developed by us in Ann. Phys. (NY) 437, 168741 (2022). This allows us to obtain a renormalized result for ¯¯¯E within generic cutoff regularization schemes, with ¯¯¯E directly expressed in terms of the scattering parameters a1 and r1, once the cutoff is sent to infinity. The whole set of possible values of a1 and r1 is explored, looking for minima in the energy per particle with ¯¯¯E given as described. They are actually found, but a further inspection reveals that the associated scattering parameters give rise to resonance poles in the complex momentum plane with positive imaginary part, which is at odds with the Hermiticity of the Hamiltonian. We also determine that these conflictive poles, with a pole-position momentum that is smaller in absolute value than the Fermi momentum of the system, clearly impact the calculation of ¯¯¯E. As a result, we conclude that unpolarized spin-1/2 fermionic normal matter interacting in P-wave is not stable. We also study three universal parameters around the unitary limit. Finally, the whole set of values for the parameters a1, r1 is characterized according to whether they give rise to unallowed poles and, if so, by attending to their pole positions relative to the Fermi momentum of the system explored.
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