  An important prediction of Mode-Coupling-Theory (MCT) is the relationship
between the power- law decay exponents in the {\beta} regime. In the original
structural glass context this relationship follows from the MCT equations that
are obtained making rather uncontrolled approximations and {\lambda} has to be
treated like a tunable parameter. It is known that a certain class of
mean-field spin-glass models is exactly described by MCT equations. In this
context, the physical meaning of the so called parameter exponent {\lambda} has
recently been unveiled, giving a method to compute it exactly in a static
framework. In this paper we exploit this new technique to compute the critical
slowing down exponents in a class of mean-field Ising spin-glass models
including, as special cases, the Sherrington-Kirkpatrick model, the p-spin
model and the Random Orthogonal model.
