Charge form factor of quark-model pion and relativistic spin rotation

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

doi:10.1063/1.48081

Cited by 4 publications

(18 citation statements)

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“…In the relativistic theory of the description of composite systems, it is possible to identify two main but very different approaches (see e.g. [1] and the pictorial scheme on Fig. 11 in the review [2]).…”

Section: Introductionmentioning

confidence: 99%

“…1) It is necessary to give the relativistic recipe for taking into account the nonperturbative effects. Notice that in the case of RHD, in the framework of which we shall operate, these effects are contained in the structure of method directly [1,4].…”

Section: Introductionmentioning

confidence: 99%

“…The necessity of such consideration was shown in Refs. [1,4] in the study of form factors of composite systems with zero total spin.…”

Section: Introductionmentioning

confidence: 99%

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Construction of form factors of composite systems by a generalized Wigner-Eckart theorem for the Poincaré group

Krutov

Troitsky

2005

Theor Math Phys

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We generalize the previously developed relativistic approach for electroweak properties of two-particle composite systems to the case of nonzero spin. This approach is based on the instant form of relativistic Hamiltonian dynamics. We use a special mathematical technique to parameterize matrix elements of electroweak current operators in terms of form factors. The parameterization is a realization of the generalized Wigner-Eckart theorem for the Poincaré group, used when considering composite-system form factors as distributions corresponding to reduced matrix elements. The electroweak-current matrix element satisfies the relativistic covariance conditions and also automatically satisfies the conservation law in the case of an electromagnetic current.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Construction of form factors of composite systems by a generalized Wigner-Eckart theorem for the Poincaré group

Krutov

Troitsky

2005

Theor Math Phys

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“…Our approach, which provides good description of the available data for the elastic charge form factors for the charged π and K mesons, will be briefly outlined here. The details are partially given in [8] and will be given elsewhere. The IF of relativistic dynamics, although not widely used, has some advantages: first, the calculations can be performed in a straightforward way; second, this approach is obviously rotationally invariant (this fact is particularly important for treating spin effects and polarization effects).…”

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confidence: 99%

Elastic charge form factors of and K mesons

Balandina

Krutov

Troitsky

1996

J. Phys. G: Nucl. Part. Phys.

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The elastic charge form factors of the charged π and K mesons are calculated in modified impulse approximation using instant form of relativistic Hamiltonian dynamics. Our approach gives pion and kaon electromagnetic form factors in the large range of momentum transfer. The results are in good agreement with the available data. Relativistic effects are large at all values of momentum transfers.The pion and kaon form factors at large Q 2 depend strongly on the choice of model. The experiments on pion form factor at large momentum transfer planned at CEBAF will choose between such models. In the case of kaon such a choosing may be performed only if supplemented by accurate measurements of kaon MSR.

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“…For calculation in our work we use the instant form of RHD in the version developed by the authors [20,21]( RHD is discussed in greater detail in Ref. [22] and references therein).…”

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confidence: 99%

Isgur–Wise function in a relativistic model of constituent quarks

2001

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The integral representation for Isgur -Wise function (IWF) is obtained in the framework of instant-form relativistic Hamiltonian dynamics for mesons with one heavy quark. The upper and lower limits are calculated for the slope parameter of IWF ρ 2 by the model independent way. IWF is calculated for different wave functions of quarks in the meson. The difference between the limits of ρ 2 equals 1/3. The constraint on the slope parameter is in a good agreement with experiments. The weak dependence of IWF on the choice of wave functions is found.

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Charge form factor of quark-model pion and relativistic spin rotation

Cited by 4 publications

References 0 publications

Construction of form factors of composite systems by a generalized Wigner-Eckart theorem for the Poincaré group

Construction of form factors of composite systems by a generalized Wigner-Eckart theorem for the Poincaré group

Elastic charge form factors of and K mesons

Isgur–Wise function in a relativistic model of constituent quarks

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