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The main proposal of this paper is to analyze the size of the Cooper pairscomposed by unbalanced mass fermions from different electronic bands along theBCS-BEC crossover and study the binding energy of the pairs. We are consideringan interaction between fermions with different masses leading to an inter-bandpairing. In addiction to the attractive interaction we have an hybridizationterm to couple both bands, which in general acts unfavorable for the pairingbetween the electrons. We get first order phase transitions as thehybridization break the Cooper pairs for the the $s$-wave symmetry of the gapamplitude. The results show the dependence of the Cooper-pair size as afunction of the hybridization for $T=0$. We also propose the structure of thebinding energy of the inter-band system as a function of the two-bandsquasi-particle energies.

Cooper-pair size and binding energy for unconventional superconducting systems