Density-functional theory for resonantly interacting fermions with effective range and neutron matter

Abstract : A density-functional theory is proposed for strongly interacting fermions with arbitrary large negative scattering length. The functional has only two parameters that are directly fixed to reproduce the universal properties of unitary gas: the so-called Bertsch parameter ξ0 and a parameter ηe related to the possible influence of the effective range re at infinite scattering length a. Using most recent quantum Monte Carlo (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 (akF)−1 values. The functional is applied to obtain an expression of Tan's contact parameter including the effect of re. Application is finally made to neutron matter. It is shown that most recent QMC results are well reproduced.
Document type :
Journal articles
Complete list of metadatas

http://hal.in2p3.fr/in2p3-01410520
Contributor : Sophie Heurteau <>
Submitted on : Tuesday, December 6, 2016 - 4:41:23 PM
Last modification on : Thursday, January 11, 2018 - 6:12:41 AM

Identifiers

Collections

Citation

D. Lacroix. Density-functional theory for resonantly interacting fermions with effective range and neutron matter. Physical Review A, American Physical Society, 2016, 94 (4), pp.043614. ⟨10.1103/PhysRevA.94.043614⟩. ⟨in2p3-01410520⟩

Share

Metrics

Record views

71