  We investigate the kinetics of the $A+B \to 0$ reaction with long-range
attractive interaction $V(r) \sim -r^{-2\sigma}$ between $A$ and $B$ or with
the drift velocity $v \sim r^{-\sigma}$ in one dimension, where $r$ is the
closest distance between $A$ and $B$. It is analytically show that the
dynamical exponents for density of particles ($\rho$) and the size of domains
($\ell$) continuously vary with $\sigma$ when $\sigma < \sigma_c =/1/2$, while
that for the distance between adjacent opposite species ($\ell_{AB}$) varies
when $\sigma < \sigma_c^{AB}= 7/6$. Beyond $\sigma_c^{AB}$, diffusive motions
dominate the kinetics, so that the dynamical behavior for diffusive systems is
completely recovered. These anomalous behaviors with the two crossover values
of $\sigma$ are supported by numerical simulations and the argument of
effective repulsion between the opposite species domains.
