Excess energy of an ultracold Fermi gas in a trapped geometry
  We have analytically explored finite size and interparticle interaction corrections to the average energy of a harmonically trapped Fermi gas below and above the Fermi temperature, and have obtained a better fitting for the excess energy reported by DeMarco and Jin [Science $\textbf{285}$, 1703 (1999)]. We have presented a perturbative calculation within a mean field approximation. 
Shyamal Biswas, Debnarayan Jana and Raj Kumar Manna
cond-mat.quant-gas cond-mat.stat-mech