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

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Author(s):
Ruiz Arriola, E. ; Szpigel, S. ; Timoteo, V. S. ; Orr, NA ; Ploszajczak, M ; Marques, FM ; Carbonell, J
Total Authors: 7
Document type: Journal article
Source: RECENT PROGRESS IN FEW-BODY PHYSICS; v. 238, p. 5-pg., 2020-01-01.
Abstract

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(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). (AU)

FAPESP's process: 16/07061-3 - Effective theories in few- and many-body hadronic systems
Grantee:Varese Salvador Timoteo
Support Opportunities: Regular Research Grants