New solutions for T(c), the order parameter, and the density of states
are obtained, based on the fact that pairs are formed within the pair
ing interaction range, T(D) (Debye), via the BCS pairing theory (not t
he BCS results). They are valid for all y = T(D)/piT(c), and are appli
cable to low T(c) (LTS) and high T(c) (HTS) superconductors. The order
parameter variation with y is shown to account for all features of HT
S. A new density of states via the zero order parameter outside the pa
iring interaction range is found to account for low energy states obse
rved in HTS. For large y (LTS), the BCS results are reproduced.