Dalitz decays of vector mesons in relativistic quark model

Abstract

In the course of work, basing on the previously developed method for calculating integral representations of decay constants for pseudoscalar and vector mesons in the frame of point form of Poincar´e-covariant quark model, the research of ω– and φ–mesons decays form-factors for Dalitz V(qǬ) → P(qǬ) ℓ⁺ℓ⁻ decays has been carried out. It is shown that the usage of the pseudoscalar density constant with integral representations of decay constants P(qǬ) → ℓνe, V(qǬ) → ℓ⁺ℓ⁻ and ℓ → P(qǬ)νe leads to parameters which can be used for the study of V(qǬ) → P(qǬ)ℓ⁺ℓ⁻ decay form-factors. As a result of the work, the behaviour of Fωπγ∗(t) and Fφηγ∗(t) form-factors compared with the experimental data in the interval q < 0.5 GeV is researched.