Pair Creation of Open Strings between the Unstable-Dressed D$p$-branes

We study the open string pair production via the interaction of two parallel D$p$-branes. The branes have been dressed by the Kalb-Ramond field, a specific $U(1)$ gauge potential and a tachyon field of the open string spectrum. We shall apply the boundary state formalism, in the context of the bosonic string theory.