An omega-meson in motion with respect to a nuclear medium can couple t
o a sigma-meson through a particle-hole excitation. This coupling is l
arge. We investigate its consequences for the width of omega-mesons in
matter and for the s-wave annihilation of pions into lepton pairs whi
ch can take place in relativistic heavy ion collisions. We find that t
he two pion decay of omega-mesons, resulting from the omega-sigma tran
sition and the subsequent 2 pi decay of the sigma-meson, leads to a su
bstantial broadening of omega-mesons in matter and possibly to an obse
rvable effect in experiments measuring the e(+)e(-) decay of vector me
sons produced in nuclei and in relativistic heavy-ion collisions. The
inverse process, the s-wave annihilation of pions into omega-mesons de
caying into e(+)e(-) pairs, has in general a much smaller cross sectio
n than the corresponding p-wave annihilation through rho-mesons and is
expected to contribute rather little to the total e(+)e(-) pair produ
ction in relativistic heavy ion collisions. (C) 1998 Elsevier Science
B.V.