Light-Front Quark Model Analysis of Electroweak Decays of Pseudoscalar and Vector Mesons

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We investigate the electroweak form factors and semileptonic decay rates of pseudoscalar and vector mesons using the light-front constituent quark model. Our method of analytic continuation in the Drell-Yan-West (q+=q⁰+q³=0) frame to obtain the weak form factors avoids the difficulty associated with the contributions from the nonvalence quark-antiquark pair creation. This method seems to provide a promising step forward to handle the exclusive processes in the timelike region. Our calculation reveals that the zero mode contribution is crucial to obtaining the correct values of the light-front current J⁻ in the q+=0 frame. Our numerical results are overall in a very good agreement with the available exprimental data.