Analytic continuation of the pion form factor from the spacelike to the timelike domain

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

doi:10.1007/s11232-013-0030-4

Cited by 15 publications

(14 citation statements)

References 44 publications

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“…To our best knowledge, this is the only available low-energy model reproducing the QCD limit without introducing additional parameters. Analytical properties of the pion form factor, as a function on the complex Q 2 plane, obtained in our model, are the same as follow from the general quantum field theory principles [28]. Since the model predicted successfully the values of Fπ(Q 2 ) up to Q 2 ∼ 2.5 GeV 2 , we expect that it can be used for F K (Q 2 ) at least in the same domain of momentum transfers.…”

Section: Introduction and Outlinesupporting

confidence: 65%

The K-meson form factor and charge radius: linking low-energy data to future Jefferson Laboratory measurements

Krutov

Troitsky

2017

Eur. Phys. J. C

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Starting from a successful model of the π -meson electromagnetic form factor, we calculate a similar form factor, F K (Q 2 ), of the charged K meson for a wide range of the momentum transfer squared, Q 2 . The only remaining free parameter is to be determined from the measurements of the K -meson charge radius, r K . We fit this single parameter to the published data of the NA-7 experiment which measured F K (Q 2 ) at Q 2 → 0 and determine our preferred range of r K , which happens to be close to recent lattice results. Still, the accuracy in the determination of r K is poor. However, future measurements of the K -meson electromagnetic form factor at Q 2 5.5 GeV 2 , scheduled in Jefferson Laboratory for 2017, will test our approach and will reduce the uncertainty in r K significantly.

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Section: Introduction and Outlinesupporting

confidence: 65%

The K-meson form factor and charge radius: linking low-energy data to future Jefferson Laboratory measurements

Krutov

Troitsky

2017

Eur. Phys. J. C

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“…The model reproduces the standard nonrelativistic limit correctly. The method permits analytic continuation of the pion electromagnetic form factor from the spacelike region to the complex plane of momentum transfers and gives a good description of the pion form factor in the timelike region [41].…”

Section: Introductionmentioning

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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“…We show that in the framework of our approach, adding physical reasoning connected with the structure of our relativistic operator of the quadrupole moment, it occurs to be possible to obtain some constraints for the values of the quadrupole moment of the composite systems with quantum numbers indicated above. As our approach have demonstrated its effectiveness for relativistic theory of very different two-particle composite systems [35][36][37][38][39][40][41]49], it is plausible to expect that our constraints are of a rather general character.…”

Section: Constraints On the Quadrupole Moment Of Spin One Compositmentioning

confidence: 92%

“…[37,39,48] for details. The method allows for an analytic continuation of the pion electromagnetic form factor from the spacelike region to the complex plane of momentum transfers and gives good results for the pion form factor in the timelike region [49]. Now we use this approach, supplemented with some physical reasoning based on the consideration of the structure of our relativistic operator of the quadrupole moment, to obtain some constraints for possible values of the quadrupole moment of two-particle spin one systems in the S-state of relative motion.…”

Section: Introductionmentioning

confidence: 99%

Quadrupole moments of the ρ meson and the S -wave deuteron and some general constraints on quadrupole moments of spin-1 systems

Krutov

Troitsky

2019

Phys. Rev. D

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We costruct the relativistic operator of the quadrupole moment of two-particle composite spin one systems with zero orbital moment of the relative motion and derive explicit analytical expression for the quadrupole moment using the approach to relativistic composite systems based on our version of the instant-form relativistic quantum mechanics (RQM). We calculate the quadrupole moments of the ρ meson and of the S-wave deuteron without any free parameters, using our unified π&ρ model (Phys. Rev.D 93, 036007 (2016); 97, 033007 (2018)) and our previous results on deuteron. Our calculation gives Qρ = −0.158 ± 0.04 GeV −2 and Q d = −1.4 · 10 −4 GeV −2 . Having in our disposition the rather general form of the quadrupole-moment operator we for the first time formulate the problem of the upper and lower bounds for possible values of the quadrupole moment of a two-particle system with indicated quantum numbers for a large range of constituent masses, and partially solve it.

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Analytic continuation of the pion form factor from the spacelike to the timelike domain

Cited by 15 publications

References 44 publications

The K-meson form factor and charge radius: linking low-energy data to future Jefferson Laboratory measurements

The K-meson form factor and charge radius: linking low-energy data to future Jefferson Laboratory measurements

Radius of theρmeson determined from its decay constant

Quadrupole moments of the ρ meson and the S -wave deuteron and some general constraints on quadrupole moments of spin-1 systems

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