In-medium omega-meson broadening and S-wave pion annihilation into e^+e^- pairs

Abstract

An $ω$-meson in motion with respect to a nuclear medium can couple to a $σ$-meson through a particle-hole excitation. This coupling is large. We investigate its consequences for the width of $ω$-mesons in matter and for the s-wave annihilation of pions into lepton pairs which can take place in relativistic heavy ion collisions. We find that the two pion decay of $ω$-mesons, resulting from the $ω-σ$ transition and the subsequent $2π$ decay of the $σ$-meson, leads to a substantial broadening of $ω$-mesons in matter and possibly to an observable effect in experiments measuring the $e^+e^-$ decay of vector mesons produced in nuclei and in relativistic heavy-ion collisions. The inverse process, the s-wave annihilation of pions into $ω$-mesons decaying into $e^+e^-$ pairs, has in general a much smaller cross section than the corresponding p-wave annihilation through $ρ$-mesons and is expected to contribute rather little to the total $e^+e^-$ pair production in relativistic heavy ion collisions.