We study the influence of a k-dependent hybridization on superconducti
vity of a two-band model, within an extended BCS picture. Considering
intraband d-d pairing and using homothetic relations for the bands and
for the hybridization we calculate the energies and the gap of the qu
asiparticles, the order parameter and the critical temperature T(c). W
e verify that T(c) vanishes at a critical hybridization which depends
on the ratio of the effective band masses. Numerical results and possi
ble applications are also presented.