Describing radiation decay using the instant form of relativistic quantum mechanics

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

doi:10.1007/s11232-015-0323-x

Cited by 5 publications

(12 citation statements)

References 31 publications

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“…Now our aim is to obtain the lepton decay constant in terms of the wave function of the meson considered as two-quark composite system in the frameworks of the variant of IF of RQM that was developed by the authors (see, e.g. [18,21,22,42]). To solve this problem, we must, first, decompose the matrix element in (1) in some basis that define the representation of the wave function, and, second, separate the invariant part in the decomposition and therefore parametrize the matrix element [42].…”

Section: The Lepton Decay Constant Of the ρ Meson In The Instant mentioning

confidence: 99%

“…[18,21,22,42]). To solve this problem, we must, first, decompose the matrix element in (1) in some basis that define the representation of the wave function, and, second, separate the invariant part in the decomposition and therefore parametrize the matrix element [42]. Let us note that the form (1) with segregated invariant part f c presents a particular case of parametrization.…”

Section: The Lepton Decay Constant Of the ρ Meson In The Instant mentioning

confidence: 99%

“…Let us note that the form (1) with segregated invariant part f c presents a particular case of parametrization. Nevertheless we will use a more universal procedure proposed in [44] for the current matrix elements which are diagonal in total moment and then developed for the case of composite systems [33,45] and for decay processes [42].…”

Section: The Lepton Decay Constant Of the ρ Meson In The Instant mentioning

confidence: 99%

“…In the case of the matrix element (8), the BF coincides with the CMS where P = 0, so the relation between matrix elements in these systems is of a simple form (compare with Eq. (21) in [42]):…”

Section: The Lepton Decay Constant Of the ρ Meson In The Instant mentioning

confidence: 99%

“…II, we obtain the analytic expression of the lepton decay constant for vector mesons using the instant form of relativistic quantum mechanics. For this purpose we use the general method of relativistic invariant parametrization of matrix elements of local operators nondiagonal in total angular momentum [42]. In Sec.…”

Section: Introductionmentioning

confidence: 99%

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Radius of theρmeson determined from its decay constant

2016

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We present a unified model describing electroweak properties of the π and ρ mesons. Using a general method of relativistic parametrization of matrix elements of local operators, adjusted for the nondiagonal in total angular momentum case, we calculate the ρ-meson lepton-decay constant fρ using the same parameters of free constituent quarks that have ensured exclusively good results for the π meson previously. The only free parameter, characterising quark interactions, which include additional spin-spin contribution and hence differ from the π-meson case, is fixed by matching the decay constant to its experimental value. The mean square charge radius is calculated, r 2 ρ = (0.56 ± 0.04) fm 2 . This result verifies, for the ρ-meson case, the conjecture of equality between electromagnetic and strong radii of hadrons tested previously for proton, π and K mesons.

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Section: The Lepton Decay Constant Of the ρ Meson In The Instant mentioning

confidence: 99%

Section: The Lepton Decay Constant Of the ρ Meson In The Instant mentioning

confidence: 99%

Section: The Lepton Decay Constant Of the ρ Meson In The Instant mentioning

confidence: 99%

Section: The Lepton Decay Constant Of the ρ Meson In The Instant mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Radius of theρmeson determined from its decay constant

2016

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Pion gravitational form factors in a relativistic theory of composite particles

Krutov

Troitsky

2021

Phys. Rev. D

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Magnetic moment of the ρ meson in instant-form relativistic quantum mechanics

Krutov¹,

Polezhaev²,

Troitsky³

2018

Phys. Rev. D

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We derive an explicit analytical expression for the magnetic dipole moment of the ρ meson, μ ρ , in a relativistic constituent-quark model. We adopt our relativistic approach to composite systems, modified instant-form (mIF) relativistic quantum mechanics (RQM), that we used particularly to construct a unified π & ρ model [Phys. Rev. D 93, 036007 (2016)] describing electroweak properties of light mesons. This model provides a parameter-free calculation to give μ ρ ¼ 2.16 AE 0.03 ½e/2M ρ which is in accordance with the conventional experimental data. The magnetic, quadrupole, and charge form factors also are derived and presented. We consider the small uncertainty of our value of the magnetic moment as one of the undoubted advantages of the method. A comparison is made with recent lattice QCD results and previous calculations using a variety of methods.

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Describing radiation decay using the instant form of relativistic quantum mechanics

Cited by 5 publications

References 31 publications

Radius of theρmeson determined from its decay constant

Radius of theρmeson determined from its decay constant

Pion gravitational form factors in a relativistic theory of composite particles

Magnetic moment of the ρ meson in instant-form relativistic quantum mechanics

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