Instant form of Poincaré-invariant quantum mechanics and description of the structure of composite systems

Krutov, A. F.; Troitsky, V. E.

doi:10.1134/s1063779609020026

Cited by 31 publications

(71 citation statements)

References 67 publications

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“…These form factors are reduced matrix elements of the electromagnetic current operator of the free two-particle system on the Poincaré group. Generally speaking, these form factors are regular generalized functions (distributions) (see [12] for details). These generalized functions can be calculated by the methods of relativistic kinematics and have the form given in [17].…”

Section: Electroweak Characteristics Of ρ-Meson and Numerical Calculamentioning

confidence: 99%

“…The wave functions in sense of IF RQM in (4) at J = S = 1 , l = 0 are defined by the following expressions (see, e.g., [12]):…”

Section: Electroweak Characteristics Of ρ-Meson and Numerical Calculamentioning

confidence: 99%

“…In the present work the some electroweak characteristics of the ρ-meson (magnetic and quadrupole moments, the charge and magnetic mean-square radii, the lepton decay constant) are calculated in the framework of instant form of relativistic quantum mechanics (IF RQM)(see, e.g., review [12]). Developed by authors formulation of IF RQM is based on a direct realization of the Poincaré algebra on the set of the dynamic observables of the composite system and dates back to the work of P. Dirac [13].…”

Section: Introductionmentioning

confidence: 99%

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

2017

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Abstract. Charge and magnetic radii, magnetic and quadrupole moments of the ρ-meson are calculated in framework of the developed by authors version of the instant form of relativistic quantum mechanics with fixed number of particles (IF RQM). The calculations are performed with different wave functions of quarks in the ρ-meson and using the so-called modified impulse approximation (MIA). The electromagnetic characteristics of ρ-meson are obtained without fitting parameters. The value of the magnetic moment coincides with available experimental data: μ ρ = 2.1 ± 0.5 e/2M ρ .

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Section: Electroweak Characteristics Of ρ-Meson and Numerical Calculamentioning

confidence: 99%

“…The wave functions in sense of IF RQM in (4) at J = S = 1 , l = 0 are defined by the following expressions (see, e.g., [12]):…”

Section: Electroweak Characteristics Of ρ-Meson and Numerical Calculamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

2017

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“…[19]), f 10 (Q 2 ), f 30 (Q 2 ) are electric and magnetic form factors, respectively. The form factors from Eq.…”

Section: Pos(baldin Ishepp Xxi)034mentioning

confidence: 99%

«Non-Rosenbluth» behavior of the proton form factors and the violation of the CP-symmetry

Kudinov¹

2013

Proceedings of XXI International Baldin Seminar on High Energy Physics Problems — PoS(Baldin ISHEPP XXI)

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In this paper we propose to discuss the electromagnetic structure of the proton in the framework of the violation hypothesis of discrete symmetries. Analysis is performed with help of the general method of the Lorentz-covariant local operator matrix element parametrization. The proposed analysis allows to solve the problem of the "non-Rosenbluth" behavior of the electromagnetic proton form factors. It is shown that the CP-violation effects give rise to the additional anapole proton form factor.

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“…The purpose of this paper is to present a version of relativistic composite quark model developed by the authors (see, e.g., [1]) for the study of composite systems of light quarks.The investigation of electroweak properties of light mesons is an important part of the study of the transition region where the perturbative QCD behavior starts to be valid. In this connection such particles are in the focus of experiments on up-to-day accelerators.…”

Section: Introductionmentioning

confidence: 99%

Poincaré-invariant constituent quark model for light mesons: capabilities and constraints

2016

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Abstract. We present a brief survey of some results on electroweak properties of composite systems that are obtained in the frameworks of our version of the instant form of relativistic quantum mechanics (RQM). Our approach describes well the π-and the ρ-mesons in wide range of momentum transfers Q 2 . At large Q 2 the obtained pion form factor asymptotics coincides with that of QCD predictions. The method permits to perform analytic continuation of pion form factor to complex plane of momentum transfers that is in accordance with predictions of quantum field theory.

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Instant form of Poincaré-invariant quantum mechanics and description of the structure of composite systems

Cited by 31 publications

References 67 publications

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

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

«Non-Rosenbluth» behavior of the proton form factors and the violation of the CP-symmetry

Poincaré-invariant constituent quark model for light mesons: capabilities and constraints

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