Determination of the magnetic dipole moment of the rho meson using four-pion electroproduction data

Gudiño, D. García; Sánchez, G. Toledo

doi:10.1142/s0217751x15501146

Cited by 14 publications

(2 citation statements)

References 41 publications

(35 reference statements)

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“…Some authors use QCD sum rules [58,59], Feynmann diagrams in the light front formalism [60], the bag model [61], relativistic composite model [62], the constructed relativistic Hamiltonian [63], a low-energy effective field theory [64], or lattice QCD calculations [65][66][67][68][69]. In the paper [70] the ρ meson magnetic moment is obtained from BABAR cross section data for the reaction e + e − → π + π − 2π 0 . They found the values using preliminary data from the BABAR Collaboration for the µ exper ρ =2.1 ± 0.5 [e/2M ρ ].…”

Section: The ρ-Meson Magnetic Moment In πAndρ Model Results and Dmentioning

confidence: 99%

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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Section: The ρ-Meson Magnetic Moment In πAndρ Model Results and Dmentioning

confidence: 99%

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

Krutov¹,

Polezhaev²,

Troitsky³

2018

Phys. Rev. D

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“…To overcome the difficulties, effective treatments of QCD, such as constituent quark models (CQM) and light-front treatment of hadrons have been developed, and achieved impressive success . In particular, we emphasize the cases of spin-1 vector particles [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46], that are of relevant for the present study of ρ-meson.…”

Section: Introductionmentioning

confidence: 99%

ρ-Meson properties in medium

Melo

Tsushima

2019

Physics Letters B

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Properties of ρ-meson in symmetric nuclear matter are investigated in a light-front constituent quark model (LFCQM), using the in-medium inputs calculated by the quark-meson coupling (QMC) model. The LFCQM used in this study was already applied for the studies of the electromagnetic properties of ρ-meson in vacuum, namely, the charge G 0 , magnetic G 1 , and quadrupole G 2 form factors, electromagnetic charge radius, and electromagnetic decay constant. Using the two different density dependence of the regulator mass in medium, we predict that the charge radius, and quadrupole moment are enhanced as increasing the nuclear matter density, while the magnetic moment is slightly quenched. Furthermore, we predict the value Q 2 zero , which crosses zero of the charge form factor, G 0 (Q 2 zero ) = 0 (Q 2 = −q 2 > 0 with q being the four-momentum transfer), decreases as increasing the nuclear matter density by the two different density dependence of the regulator mass. On the other hand, for the electromagnetic decay constant of the ρ-meson, the two different density dependence of the regulator mass predict the opposite density dependence. Namely, as increasing the nuclear matter density, the naive treatment with the density independent regulator mass as in the vacuum, predicts the increase of the decay constant, while the other that assumes the same density dependence of the regulator mass as that of the in-medium constituent quark mass, predicts the decrease of the decay constant. Thus, although the other physical quantities are predicted to have similar density dependence by the two different density dependence of the regulator mass applied, the density dependence of the ρ-meson electromagnetic decay constant are predicted to have opposite density dependence, and the facts suggest that the in-medium ρ-meson decay constant needs to be investigated further in the future.

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Melo¹,

Tsushima²

2018

Light Cone 2016

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Properties of ρ-meson in symmetric nuclear matter are investigated within a light-front constituent quark model (LFCQM), using the in-medium input calculated by the quark-meson coupling (QMC) model. The LFCQM used here was previously applied in vacuum to calculate the ρ-meson electromagnetic properties, namely, charge G 0 , magnetic G 1 , and quadrupole G 2 form factors, as well as the electromagnetic radius and decay constant. We predict the in-medium modifications of the ρ-meson electromagnetic form factors in symmetric nuclear matter.Keywords Light-front, Constituent quark model, Electromagnetic form factors, ρ-meson, symmetric nuclear matter 1 IntroductionOne of the main objectives in hadronic physics is to understand the hadron structure in terms of the fundamental degrees of freedom in quantum chromodynamics (QCD), i.e, quarks and gluons. The Standard Model (SM) of elementary particles includes QCD as the strong interaction sector. Although solving QCD is an important part for understanding the SM of the particles physics, it is still a very difficult task (see Refs. [1; 2] for QCD details).On the other hand, light-front approach is an alternative to calculate observables with the ingredients from QCD [3]. With light-front quantum field theory, it is possible to describe the lower Fock components of the hadronic bound-state wave functions, i.e, mesons and baryons in terms of quarks and gluons [3; 4; 5; 6; 7; 8].In the present work the previous model for the ρ-meson in vacuum [9; 10; 11] is used to calculate the in-medium electromagnetic observables such as the electromagnetic form factors, charge G 0 , magnetic G 2 , and quadrupole G 2 , as well as the electromagnetic radius and decay constant, using the plus-component of the current J µ applied in symmetric nuclear matter [12]. (For a review of the in-medium properties of hadrons, see e.g., Refs. [13;14].) Next, we present the light-front model of ρ-meson, and briefly review the main ingredients of the model.

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Determination of the magnetic dipole moment of the rho meson using four-pion electroproduction data

Cited by 14 publications

References 41 publications

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

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

ρ-Meson properties in medium

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