On the relationship between the deuteron form factors and the physical S matrix. I

Troitskii, V.E.; Trubnikov, S.V.; Shirokov, Yu. M.

doi:10.1007/bf01035764

Cited by 23 publications

(35 citation statements)

References 5 publications

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“…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%

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%

Radius of theρmeson determined from its decay constant

2016

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“…This canonical parametrization of local operators matrix elements was generalized to the case of composite systems of free particles in Refs. [5,6]. This parametrization is a realization of the Wigner-Eckart theorem for the Poincaré group and so it enables one for given matrix element of arbitrary tensor dimension to separate the reduced matrix elements (form factors) that are invariant under the Poincaré group.…”

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“…The sums over discrete invariant variables can be transformed into integrals by introducing the adequate deltafunctions. The obtained expressions are functionals in R 6 .…”

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Relativistic instant-form approach to the structure of two-body composite systems: Nonzero spin

Krutov¹,

Troitsky

2003

Phys. Rev. C

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The relativistic approach to electroweak properties of twoparticle composite systems developed in Ref.[1] is generalized here to the case of nonzero spin. In developed technique the parametrization of matrix elements of electroweak current operators in terms of form factors is a realization of the Wigner-Eckart theorem on the Poincaré group and form factors are reduced matrix elements. The ρ meson charge form factor is calculated as an example. * Electronic address: krutov@ssu.samara.ru † Electronic address: troitsky@theory.sinp.msu.ru

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“…The basis (3) is connected with (2) through the Clebsch -Gordan decomposition of the Poincaré group. The details of this procedure one can find in [12]. Now the decomposition of the electromagnetic current matrix element for the composite system (1) in the basis (3) has the form…”

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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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On the relationship between the deuteron form factors and the physical S matrix. I

Cited by 23 publications

References 5 publications

Radius of theρmeson determined from its decay constant

Radius of theρmeson determined from its decay constant

Relativistic instant-form approach to the structure of two-body composite systems: Nonzero spin

Elastic charge form factors of and K mesons

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