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

Krutov, A. F.; Polezhaev, R.G.; Troitsky, V. E.

doi:10.1103/physrevd.97.033007

Cited by 26 publications

(36 citation statements)

References 99 publications

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“…With inclusion of a contribution of the anomalous magnetic moment, M ρ = 2e/(2m ρ ). Reference [97] finds M ρ ≃ 2.2e/(2m ρ ), other existing calculations give other values. An important circumstance here is only that in general case η = e.…”

Section: Complex Vector Boson Fields Ferromagnetic Superfluiditmentioning

confidence: 87%

Vector-boson condensates, spin-triplet superfluidity of paired neutral and charged fermions, and 3P2 pairing of nucleons

Voskresensky

2020

Phys. Rev. D

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After reminding of properties of the condensate of the complex scalar field in the external uniform magnetic field H focus is made on the study of phases of the complex neutral vector boson fields coupled with magnetic field by the Zeeman coupling and phases of the charged vector boson fields. These systems may behave as nonmagnetic and ferromagnetic superfluids and ordinary and ferromagnetic superconductors. Response of the ferromagnetic superfluid and superconducting systems occupying half of space on the external uniform static magnetic field H is thoroughly studied. Then the spin-triplet pairing of neutral fermions at conserved spin is considered. Novel phases are found. In external magnetic field the phase with zero mean spin proves to be unstable to the formation of a phase with a non-zero spin. For H > Hcr2 the spin-triplet pairing and ferromagnetic superfluidity continue to exist above the "old" phase transition critical temperature Tcr. For a certain parameter choice ferromagnetic superfluid phases are formed already for H = 0, characterized by an own magnetic field h. Formation of domains is discussed. Next, spin-triplet pairing of charged fermions is studied. Novel phases are found with a ferromagnetic superconductivity. Then, the 3P2 nn pairing in neutron star matter is studied. Also a 3P2 pp pairing is considered. Numerical estimates are performed in the BCS weak coupling limit and beyond it for the 3P2 nn and pp pairings, as well as for the 3S1 np pairing.

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Section: Complex Vector Boson Fields Ferromagnetic Superfluiditmentioning

confidence: 87%

Vector-boson condensates, spin-triplet superfluidity of paired neutral and charged fermions, and 3P2 pairing of nucleons

Voskresensky

2020

Phys. Rev. D

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“…Here we use our version of RQM, -the modified instant form (mIF) of RQM , that was successfully used for various composite two-particle systems, namely, the deuteron [35], the pion [36][37][38][39], the ρ meson [40,41] and the kaon [42]. This model has predicted with surprising accuracy the values of the form factor F π (Q 2 ), which were measured later in JLab experiments [43][44][45][46][47] (see discussion in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…In what concerns the calculation of the quadrupole moment of the ρ meson, the present paper is a continuation of our papers [40,41]. Using our approach we have constructed [40] the unified π&ρ model and have fixed all free parameters determining the radius of the ρ meson through its decay constant.…”

Section: Introductionmentioning

confidence: 99%

“…Using our approach we have constructed [40] the unified π&ρ model and have fixed all free parameters determining the radius of the ρ meson through its decay constant. Then we obtain the ρ meson magnetic moment µ ρ [41] using the unified π&ρ model with no new fitting parameters. Now we calculate the ρ-meson quadrupole moment in the unified π&ρ model, that is without any fitting parameters: all parameters are already fixed in [40].…”

Section: Introductionmentioning

confidence: 99%

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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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“…[25][26][27][28][29][30][31] for the deuteron and Refs. [32][33][34][35][36][37][38] for the ρ meson, respectively). Consequently, the electromagnetic form factors might also be discriminating quantities for studying the inner structure of the higher spin particle.…”

Section: Introductionmentioning

confidence: 99%

Form factors of the d*(2380) resonance

2018

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In order to explore the possible physical quantities for judging different structures of the newly observed resonance d Ã ð2380Þ, we study its electromagnetic form factors. In addition to the electric charge monopole C0, we calculate its electric quadrupole E2, magnetic dipole M1, and magnetic octupole M3 form factors on the base of the realistic coupled ΔΔ þ C 8 C 8 channel dÃ wave function with both the S-and D-partial waves. The results show that the magnetic dipole moment and electric quadrupole deformation of d Ã are 7.602 and 2.53 × 10 −2 fm 2 , respectively. The calculated magnetic dipole moment in the naive constituent quark model is also compared with the result of D 12 π picture. By comparing with partial results where the d Ã state is considered with a single ΔΔ and with a D 12 π structures, we find that in addition to the charge distribution of d Ã , the magnetic dipole moment and magnetic radius can be used to discriminate different structures of d Ã . Moreover, a quite small electric quadrupole deformation indicates that d Ã is more inclined to a slightly oblate shape due to our compact hexaquark dominated structure of d Ã .

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

Cited by 26 publications

References 99 publications

Vector-boson condensates, spin-triplet superfluidity of paired neutral and charged fermions, and 3P2 pairing of nucleons

Vector-boson condensates, spin-triplet superfluidity of paired neutral and charged fermions, and 3P2 pairing of nucleons

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

Form factors of the d*(2380) resonance

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