Restricting SLE(8/3 ) to an annulus

We study the probability that chordal SLE8/3 in the unit disk from exp(ix) to 1 avoids the disk of radius q centered at zero. We find the initial/boundary value problem satisfied by this probability as a function of x and a=lnq, and show that asymptotically as q tends to 1 this probability decays like exp(−cx/(1−q)) with c=5π/8 for 0