Suppression of Superfluidity upon Overflow of Trapped Fermions. Quantal   and Thomas-Fermi Studies
  Two issues are treated in this work: (i) the generic fact that if a fermionic superfluid in the BCS regime overflows from a narrow container into a much wider one, pairing is much suppressed at the overflow point. Physical examples where this feature may play an important role are discussed (ii) A Thomas-Fermi (TF) approach to inhomogeneous superfluid Fermi-systems is presented and shown that it works well in cases where the Local Density Approximation (LDA) breaks down. 
P. Schuck and X. Vi\~nas
nucl-th cond-mat.supr-con