Statut  Confirm? 
S?rie  IPNTHEO 
Domaines  nuclth 
Date  Mercredi 5 Juillet 2017 
Heure  11:30 
Institut  IPN 
Salle  IPN, Bâtiment 100, salle A015 
Nom de l'orateur  Lacroix 
Prenom de l'orateur  Denis 
Addresse email de l'orateur  
Institution de l'orateur  IPN Orsay 
Titre  Genesis of a density functional with no free parameter for nuclei and cold atoms: From unitary gas to neutron matter 
R?sum?  A density functional theory is proposed for strongly interacting fermions with arbitrary large negative scattering length. The functional is firstly designed to reproduce the universal properties of unitary gas: the socalled "Bertsch parameter" xi_0 and a parameter eta_e related to the possible influence of the effective range r_e at infinite scattering length a. Using most recent quantum MonteCarlo (QMC) estimates of these two parameters, it is shown that the functional properly reproduces the experimental measurements of interacting Fermi systems not only at unitarity but also away from this limit over a wide range of 1/(ak_F) values. The new functional is applied to obtain an expression of the Tan's contact parameter including the effect of r_e. Application is finally made to neutron matter. The functional is shown to be predictive up to densities ~0.01 fm^3 and reproduces well states of the art QMC results. Starting from the functional, densitydependent scales are introduced. It is shown that the scales associated to the bare interaction are strongly renormalized by medium effects. As a consequence, some of the scales at play around saturation are dominated by the unitary gas properties and not directly to lowenergy constants. For instance, we show that the scale in the swave channel around saturation is proportional to the socalled Bertsch parameter xi_0 and becomes independent of a_s. At saturation density, these scales are of the same order of magnitude than those empirically obtained in the Skyrme energy density functional. Illustration of application to the study of thermodynamic and dynamic of quantum Fermi liquids will be given. [1] Denis Lacroix, Phys. Rev. A 94, 043614 (2016) [2] Denis Lacroix, Antoine Boulet, Marcella Grasso, and C.J. Yang Phys. Rev. C 95, 054306 (2017) [3] M. Grasso, D. Lacroix, and C. J. Yang, Phys. Rev. C 95, 054327 (2017) 
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