2007/04/13 by Ryan M. Kalas, Kalas, Ryan M., D. Blume +1
Physics and Astronomy · #FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #cond-mat.other
paper · pdf · doi:10.48550/arxiv.0704.1804
10 pages, 7 figures
arxiv created 2007/04/13 · arxiv updated 2009/12/01
Dilute Fermi systems with large s-wave scattering length as exhibit universal properties if the interparticle spacing ro greatly exceeds the range of the underlying two-body interaction potential. In this regime, ro is the only relevant length scale and observables such as the energy per particle depend only on ro (or, equivalently, the energy EFG of the free Fermi gas). This paper investigates Bose and Fermi systems with non-vanishing angular momentum l using the lowest order constrained variational method. We focus on the regime where the generalized scattering length becomes large and determine the relevant length scales. For Bose gases with large generalized scattering lengths, we obtain simple expressions for the energy per particle in terms of a l-dependent length scale ξl, which depends on the range of the underlying two-body potential and the average interparticle spacing. We discuss possible implications for dilute two-component Fermi systems with finite l. Furthermore, we determine the equation of state of liquid and gaseous bosonic helium.