  We consider the model of a PT-symmetric Bose-Einstein condensate in a
delta-functions double-well potential. We demonstrate that analytic
continuation of the primarily non-analytic term |psi|^2 psi - occurring in the
underlying Gross-Pitaevskii equation - yields new branch points where three
levels coalesce. We show numerically that the new branch points exhibit the
behaviour of exceptional points of second and third order. A matrix model which
confirms the numerical findings in analytic terms is given.
