Abstract

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.

中文翻译：

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向量介子的半轻子衰变$$ [\ rho，\ omega，\ phi] \ to \ pi [{{e} ^ {+}} {{e} ^ {-}}，{{\ mu} ^ {+} } {{\ mu} ^ {-}}] $$在手性NJL模型中

摘要

向量介子\（\ rho \），\（\ omega \）和的半瘦子衰变为pion和轻子对\（{{e} ^ {+}} {{e} ^ {-}}，{{\ mu} ^ {+}} {{\ mu} {{-}} \）在手性Nambu–Jona–Lasinio（NJL）模型中进行了描述。在矢量ϕ介子衰变的描述中考虑了\（\ omega \）与的混合。经由光场和生产具有中间矢量介子的参与直接生产\（\ RHO \）或\（\欧米加\）考虑到在生产\（{{1} ^ {+}} {{升} ^ {--}} \）轻子对。将总宽度和微分宽度与实验进行比较。预测\（\ rho \ to \ pi \，\，[{{e} ^ {+}} {{e} ^ {-}}，{{\ mu} ^ {+}} {{\ mu} ^ {- }}] \）和\（\ phi \ to \ pi {{\ mu} ^ {+}} {{\ mu} ^ {-}} \）衰减也已给出。