<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>ρ</mml:mi></mml:math>meson form factors in a confining Nambu–Jona-Lasinio model

Carrillo-Serrano, Manuel E.; Bentz, Wolfgang; Cloët, Ian C.; Thomas, A. W.

doi:10.1103/physrevc.92.015212

Cited by 22 publications

(27 citation statements)

References 45 publications

(144 reference statements)

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“…The model results of various authors for the ρ meson tabulated in Ref. [7] show the values obtained for µ and Q usually do not satisfy the correlation (1), with the exception of Ref. [6] which reproduces the righthand side of (1) to within a few percent based on a light-front constituent quark model.…”

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confidence: 94%

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Model-independent form-factor constraints for electromagnetic spin-1 currents

Haberzettl

2019

Phys. Rev. D

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Using local gauge invariance in the form of the Ward-Takahashi identity (which provides an off-shell constraint) and the fact that properly constructed current operators must be free of singularities, it is shown that the magnetic moment µ and the quadrupole moment Q of a spin-1 particle with mass m and charge e are related by 2mµ + m 2 Q = e, thus constraining the normalizations of the Sachs form factors. Although usually not condensed into this form, this relation holds true as a matter of course at the tree level in the standard model, but we show it remains true in general. General expressions for spin-1 propagators and currents with arbitrary hadronic dressing are given showing the result to be independent of any dressing effect or model approach.

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confidence: 94%

“…A more general electromagnetic structure allowing for the quadrupole moment to be independent of charge and magnetic moment was considered in Refs. [3,[5][6][7][10][11][12] (see also references therein), thus exploiting the full multipole degrees of freedom of a spin-1 object. The model results of various authors for the ρ meson tabulated in Ref.…”

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confidence: 99%

Model-independent form-factor constraints for electromagnetic spin-1 currents

Haberzettl

2019

Phys. Rev. D

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“…So, it is clear that the theory of such properties based on different nonperturbative approaches is in the focus of investigations for years. Let us mention for example different forms of Dirac relativistic dynamics [1][2][3][4][5][6][7][8][9][10][11][12], approaches based on the Dyson-Schwinger equation [13][14][15][16], the Nambu-Jona-Lasinio model [17,18], QCD sum rules [19,20], the light front diagram technique [21], lattice calculations [22][23][24][25]. The quadrupole moment of two-particle spin one systems with total electric charge equal to unity with S-state of the relative motion of constituents is of particular interest because the existence of the quadrupole form factor and the quadrupole moment in such systems is a purely relativistic effect.…”

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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“…One of the interesting related prediction was introduced as a consequence of the so-called Wu-Yang hypothesis [38] (see also [12]; the wave function (19) with n = 3 is used. This work 152±8 0.56±0.04 (fixed) [4] 154 0.268 [33] 146 0.54 [34] 130 0.312 [35] -0.67 [36] -0.67 [37] 134 0.296…”

Section: Lepton Decay Constant and Msr Of The ρ-Mesonmentioning

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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ρmeson form factors in a confining Nambu–Jona-Lasinio model

Cited by 22 publications

References 45 publications

Model-independent form-factor constraints for electromagnetic spin-1 currents

Model-independent form-factor constraints for electromagnetic spin-1 currents

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

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

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