Neutron Matter in the Unitary Limit with Implicit Renormalization of Short Range Interactions

  • E. Ruiz Arriola
  • S. Szpigel
  • V. S. TimóteoEmail author
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 238)


We study a strongly interacting many-fermion system in the unitary limit using an implicit renormalization framework and compute the Bertsch parameter \(\xi \) considering only contact interactions. The main ingredient of the calculation is the scale separation between low and high momentum degrees of freedom, which we take as the Fermi momentum \(k_\mathrm{F}\), and the assumption that the physics below this momentum scale can be re-parametrized into the low energy coefficients of the contact interactions. Once the unitary renormalization conditions are imposed on the two-body scattering amplitude obtained from the contact interactions, we evaluate \(\xi \) at leading order (LO), next-to-leading order (NLO) and next-to-next-to-leading order (NNLO).



Work supported by Spanish MINECO and European FEDER funds (grants FIS2014-59386-P and FIS2017-85053-C2-1-P), Junta de Andalucía (grant FQM-225), FAPESP (grant 2016/07061-3) and CNPq (grant 306195/2015-1).


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Authors and Affiliations

  1. 1.Departamento de Física Atómica, Molecular Y Nuclear, Facultad de CienciasUniversidad de Granada - UGRGranadaSpain
  2. 2.Centro de Rádio-Astronomia e Astrofísica Mackenzie - CRAAMUniversidade Presbiteriana MackenzieSão PauloBrazil
  3. 3.Grupo de Óptica e Modelagem Numérica - GOMNI, Faculdade de Tecnologia - FTUniversidade Estadual de Campinas - UNICAMPLimeiraBrazil

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