Electroweak properties of<i>ρ</i>-meson in the instant form of relativistic quantum mechanics

Krutov, A. F.; Polezhaev, R.G.; Troitsky, V. E.

doi:10.1051/epjconf/201713802007

Cited by 4 publications

(2 citation statements)

References 25 publications

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“…Instant form of dynamics is also used to calculate various characteristics of electroweak decays of pseudoscalar and vector mesons. Magnetic moment calculations μ ρ in [9,10] lead to the value μ ρ = 2.10 ± 0.05 (in units e/2m ρ ). As a special feature of the performed calculations we record the fact of taking into account the anomalous magnetic moments of quarks κ u , κ d .…”

Section: Introductionmentioning

confidence: 90%

$$\rho $$–Meson Form-factors in Point form of Poincaré-Invariant Quantum Mechanics

Haurysh

Andreev

2021

Few-Body Syst

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Form-factors investigation of $$\rho ^{\pm }$$ ρ ± –mesons was carried out within the framework of the relativistic quark model, based on point form of Poincaré-invariant quantum mechanics taking into account the internal structure of constituent quarks. It is shown that the parameters of the model obtained from the condition of the agreement of theoretical calculations with experimental data on leptonic decays for light $$\pi ^{\pm }$$ π ± — and $$\rho ^{\pm }$$ ρ ± –mesons lead to the results correlating with calculations in models based on light-front and instant forms of dynamics. The proposed scheme for the combined description of lepton transitions of pseudoscalar and vector mesons that is based on point form of dynamics, leads to the results on the magnetic moment of $$\rho ^{\pm }$$ ρ ± –meson correlating with the experimental data and other models.

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Section: Introductionmentioning

confidence: 90%

$$\rho $$–Meson Form-factors in Point form of Poincaré-Invariant Quantum Mechanics

Haurysh

Andreev

2021

Few-Body Syst

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“…For light mesons this problem is especially important as such systems are purely relativistic, which makes it possible to obtain more accurate results. Despite a number of works based on light-front dynamics [9][10][11][12], where quarks were assumed as structureless particles, in the instant form of dynamics [13,14], the anomalous quark magnetic moment was introduced for theoretical calculations and experimental data agreement. This assumption is consistent with [15][16][17], where model calculations for baryons led to the fact that the anomalous quark magnetic moment is nonzero.…”

Section: Introductionmentioning

confidence: 99%

Electroweak decays of unflavored mesons in Poincaré covariant quark model

Haurysh¹,

Andreev²

2019

Turk J Phys

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This work presents the procedure for obtaining integral representation of the radiative decay constant in the Poincaré-covariant quark model, based on Poincaré-invariant quantum mechanics. In the course of the work the authors give numerical estimates of magnetic moments of the light quarks ( u, d, s ) from the V → P γ decay, based on the calculation method of the observer that was previously developed. This technique is generalized in the case of the decay P → V γ with further numerical calculation of mixing angles η −η ′ of pseudoscalar mesons. Within the framework of the offered approach, we obtain a self-consistent model that describes radiative and leptonic decays of pseudoscalar and vector mesons.

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Decays of light mesons in the relativistic quark model

Haurysh

Andreev

2019

Vescì Akademìì navuk Belarusì. Seryâ fizika-matematyčnyh navuk

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In the framework of the relativistic quark model based on the point form of the Poincaré-invariant quantum mechanics, the parameters were fixed using the integral representations of the lepton decay constants of pseudoscalar and vector mesons containing u-, d- and s-quarks. As a result of numerical calculations using the oscillator wave function, the basic parameters of the model are obtained using the pseudoscalar density constant and current quark masses. The analysis showed that the obtained calculation results in the framework of the model and the experimental data on the lepton decays of hadrons agree well with each other. As a result, the calculation method is generalized to the case of hadronic transitions with γ-quantum emission and a subsequent calculation of the integral representations of radiative decay constants of pseudoscalar and vector mesons. The obtained values of the anomalous magnetic moments are compared with the baryon data. As a test of the model, the authors studied the behavior of the form-factors of radiative decays of vector mesons with a subsequent comparison to the modern experimental data in the q < 0.5 GeV range where the resonance effects are insignificant. As a result, self-consistent descriptions of lepton and radiative transitions were obtained within the framework of the model proposed by the authors.

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Electroweak properties ofρ-meson in the instant form of relativistic quantum mechanics

Cited by 4 publications

References 25 publications

$$\rho $$–Meson Form-factors in Point form of Poincaré-Invariant Quantum Mechanics

$$\rho $$–Meson Form-factors in Point form of Poincaré-Invariant Quantum Mechanics

Electroweak decays of unflavored mesons in Poincaré covariant quark model

Decays of light mesons in the relativistic quark model

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