Two-meson cloud contribution to the baryon antidecuplet self-energy

We study the self-energy of the SU (3) antidecuplet coming from two-meson virtual clouds. Assuming that the exotic Θ + belongs to an antidecuplet representation with N (1710) as nucleon partner, we derive effective Lagrangians that describe the decay of N (1710) into Nππ with two pions in s - or p -wave. It is found that the self-energies for all members of the antidecuplet are attractive, and the larger strangeness particle is more bound. From two-meson cloud, we obtain about 20% of the empirical mass splitting between states with different strangeness.