2017/12/16 by E. Ruiz Arriola, Arriola, E. Ruiz, S. Szpigel +3
Earth and Planetary Sciences · Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-pressure geophysics and materials #Nuclear Theory (nucl-th) #Quantum Gases (cond-mat.quant-gas)
paper · pdf · doi:10.48550/arxiv.1712.05931
openalex publication_date 2017/12/16 · openalex created_date 2018/01/05 · openalex updated_date 2026/07/28
We analyze the universality of the Unitary Fermi Gas in its ground state from a Wilsonian renormalization point of view and compute the effective range dependence of the Bertsch parameter ξ exactly. To this end we construct an effective block-diagonal two-body separable interaction with the Fermi momentum as a cut-off which reduces the calculation to the mean field level. The interaction is separable in momentum space and is determined by Tabakin's inverse scattering formula. For a vanishing effective range we get ξ= (176)/(9 π)-(17)/(3) = 0.56. By using phase-equivalent similarity transformations we can show that there is a class of exact solutions with any value in the range 0.56 ≥ ξ≥ -1/3.