Universal relations for a trapped four-fermion system with arbitrary s-wave scattering length

D. Blume and K. M. Daily
Phys. Rev. A 80, 053626 – Published 30 November 2009

Abstract

A two-component four-fermion system with equal masses, interspecies s-wave scattering length as, and vanishing intraspecies interactions under external spherically symmetric harmonic confinement is considered. Using a correlated Gaussian basis set expansion approach, we determine the energies and various structural properties of the energetically lowest-lying gaslike state throughout the crossover for various ranges of the underlying two-body potential. Extrapolating to the zero-range limit, our numerical results show explicitly that the total energy, the trap energy, as well as certain aspects of the pair distribution function and of the momentum distribution are related through the so-called integrated contact intensity I(as). Furthermore, it is shown explicitly that the total energy and the trap energy are related through a generalized virial theorem that accounts for a nonzero range.

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  • Received 14 September 2009

DOI:https://doi.org/10.1103/PhysRevA.80.053626

©2009 American Physical Society

Authors & Affiliations

D. Blume and K. M. Daily

  • Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164-2814, USA

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Issue

Vol. 80, Iss. 5 — November 2009

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