It is first shown that the thermal fluctuation effects on the transport and
on the thermodynamic observables above the superconducting transition may
provide, when they are analyzed simultaneously and consistently, a powerful
tool to access the relaxation time, tau(0), of the Cooper pairs with wave
vector k = 0 in high-temperature cuprate superconductors (HTSC). Then, Ne a
pply this procedure to optimally doped YBa2Cu3O7-delta (Y-123) crystals. It
is found that in this HTSC tau(0) follows, within 20% accuracy, the BCS te
mperature behaviour and amplitude given by tau(0) = pi h/[8k(B)(T - T-c0)].