text: On more careful looking we found the problem with the 
  original MFLI model. We recall that in this model the 
  self-energy in the SCS state was obtained by just cutting 
  the NS self energy at ω1 (see Eq.18). We argue that 
  this phenomenological formalism is not fully consistent, 
  at least for small α. Indeed, for α = 0, the MFLI model 
  reduces to BCSI model for which the behavior of the self- 
  energy is given by Eq. (12). This self-energy evolves with 
  has a square-root singularity at ω = ∆ + ωo 
  ω and Σ 
  in the original MFLI model 
  (with ωo = 0). Meanwhile Σ 
  in Eq. (18) simply jumps to zero at ω = ω1 = ∆, and 
  this happens for all values of α including α = 0 where the 
  MFLI and BCSI model should merge. This inconsistency 
  is reﬂected in Fig 13, where we plot the near-BCS limit 
  of MFLI model by taking a very small α = 0.05. We 
  see that the optical integral WK in the SCS still remains 
  larger than in the NS over a wide range of Γ, in clear 
  diﬀerence with the exactly known behavior in the BCSI 
  
  ′′ 