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We have calculated the potentials of the heavy (charmed or bottomed)pseudoscalar mesons up to $O(\epsilon^2)$ with the heavy meson chiralperturbation theory. We take into account the contributions from the football,triangle, box, and crossed diagrams with the 2$\phi$ exchange and one-loopcorrections to the contact terms. We notice that the total 2$\phi$-exchangepotential alone is attractive in the small momentum region in the channel${\bar B \bar B}^{I=1}$, ${\bar B_s \bar B_s}^{I=0}$, or ${\bar B \barB_s}^{I=1/2}$, while repulsive in the channel ${\bar B \bar B}^{I=0}$.Hopefully the analytical chiral structures of the potentials may be useful inthe extrapolation of the heavy meson interaction from lattice QCD simulation.

Chiral Perturbation Theory and the $\bar B \bar B$ Strong Interaction