Semileptonic Decays of Vector Mesons $$[\rho ,\omega ,\phi ] \to \pi [{{e}^{ + }}{{e}^{ - }},{{\mu }^{ + }}{{\mu }^{ - }}]$$ in a Chiral NJL Model
Tóm tắt
Semileptonic decays of vector mesons
$$\rho $$
,
$$\omega $$
, ϕ into a pion and lepton pair
$${{e}^{ + }}{{e}^{ - }},{{\mu }^{ + }}{{\mu }^{ - }}$$
are described in the chiral Nambu–Jona–Lasinio (NJL) model. Mixing of
$$\omega $$
with ϕ is taken into account in a description of vector ϕ meson decay. Direct production via a photon field and production with the participation of intermediate vector mesons
$$\rho $$
or
$$\omega $$
are taken into account in the production of
$${{l}^{ + }}{{l}^{ - }}$$
lepton pairs. The total and differential widths are compared with an experiment. Predictions for
$$\rho \to \pi \,\,[{{e}^{ + }}{{e}^{ - }},{{\mu }^{ + }}{{\mu }^{ - }}]$$
and
$$\phi \to \pi {{\mu }^{ + }}{{\mu }^{ - }}$$
decays are also given.
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