The annihilation (p) over bar d --> 2 pi(-)pi(+)p at rest with the proton m
omentum in the final state greater than or equal to 400MeV/c is analysed. A
ssuming that the deuteron wave function can be represented by the Pock's co
lumn consisting of different possible states (NN, NN*, Delta Delta, NN pi,.
..) some enhancement in the distribution over the invariant mass of the pi(
-)pi(-) system in the mass region 1.4-1.5(GeV/c(2)) is predicted. This can
be caused by the possible existence of a Delta - Delta component in deutero
n. Using this prediction and new experimental data of the OBELIX collaborat
ion (LEAR, CERN) one can estimate the upper limit for this exotic state of
the deuteron. (C) 1999 Published by Elsevier Science B.V. All rights reserv
ed.