Investigation of the Conjectured Nucleon Deformation at Low Momentum Transfer

Sparveris, N.; Alarcón, R.; Bernstein, A. M.; Bertozzi, W.; Botto, T.; Bourgeois, P.; Calarco, J. R.; Casagrande, F.; Distler, M. O.; Dow, K.; Farkondeh, M.; Georgakopoulos, Stavros V.; Gilad, S.; Hicks, R. S.; Holtrop, M.; Hotta, A.; Jiang, X.; Karabarbounis, A.; Kirkpatrick, John; Kowalski, S.; Milner, R.; Miskimen, R.; Nakagawa, I.; Papanicolas, C. N.; Sarty, A. J.; Sato, Y.; Širca, S.; Shaw, J.; Six, E.; Stave, S.; Stiliaris, E.; Tamae, T.; Tsentalovich, G.; Tschalaer, C.; Turchinetz, W.; Zhou, Zhengfang; Zwart, T.

doi:10.1103/physrevlett.94.022003

Cited by 108 publications

(95 citation statements)

References 33 publications

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“…9. We see that our results at Briet-Wigner position E = 1232 MeV (open squares connected by dashed curve) are in good agreement with the results (solid circles with errors) from the previous analysis [18,[38][39][40] using the Breit-Wigner parametrization.…”

Section: Resultssupporting

confidence: 90%

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Extraction of electromagnetic transition form factors for nucleon resonances within a dynamical coupled-channels model

2010

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We explain the application of a recently developed analytic continuation method to extract the electromagnetic transition form factors for the nucleon resonances (N * ) within a dynamical coupled-channel model of mesonbaryon reactions. Illustrative results of the obtained N * → γ N transition form factors, defined at the resonance pole positions on the complex energy plane, for the well-isolated P 33 and D 13 and the complicated P 11 resonances are presented. A formula was developed to give a unified representation of the effects due to the first two P 11 poles, which are near the π threshold, but are on different Riemann sheets. We also find that a simple formula, with its parameters determined in the Laurent expansions of the πN → πN and γ N → πN amplitudes, can reproduce to a very large extent the exact solutions of the considered model at energies near the real parts of the extracted resonance positions. We discuss the important differences between our approach, which is consistent with the earlier formulations of resonances, and the phenomenological approaches using the Breit-Wigner parametrization of resonant amplitudes to fit the data.

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Section: Resultssupporting

confidence: 90%

“….F D = 1/(1 + Q 2 /b 2 ) 2 with b 2 = 0.71 (GeV/c) 2 .Left: the solid circles (solid triangles) are the real (imaginary) parts of our results. Right: The data points are from recent analyses[18,[38][39][40] using the Breit-Wigner parametrization. Open squares are our results at W = 1232 Mev of the Breit-Wigner position, as discussed in the text.…”

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confidence: 99%

Extraction of electromagnetic transition form factors for nucleon resonances within a dynamical coupled-channels model

2010

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“…We take the experimental and empirical data taken from Refs. [1, [3][4][5][6]. The present result seems to fall off slightly more slowly than those of the empirical and experimental data, as Q 2 increases.…”

Section: Resultscontrasting

confidence: 46%

“…The reason is that it is very difficult to get access to their structures experimentally on account of their ephemeral nature. On the other hand, the EM transition N γ * → ∆ can be examined experimentally by using the electroproduction of the pion [1][2][3][4][5][6][7][8][9][10]. Moreover, the EM transitions from the baryon octet to the decuplet are experimentally accessible [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Form Factors of the Baryon Decuplet

Kim

2019

Proceedings of the 8th International Conference on Quarks and Nuclear Physics (QNP2018)

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We investigate the electromagnetic transition form factors of the baryon decuplet to the baryon octet, based on the self-consistent SU(3) chiral quark-soliton model, taking into account the effects of explicit breaking of flavor SU(3) symmetry. We emphasize the Q 2 dependence of the electromagnetic N → ∆ transition form factors and the ratios of E2/M 1 and C2/M 1 in comparison with the experimental and empirical data. In order to compare the present results of the electromagnetic transition form factors of the N → ∆ with those from lattice QCD, we evaluate the form factors with the pion mass deviated from its physical value. The results of the E2/M 1 and C2/M 1 ratios are in good agreement with the lattice data. We also present the results of the electromagnetic transition form factors for the decuplet to the octet transitions.Keywords: Electromagnetic transition form factors of the baryon decuplet, E2/M 1 ratios, pion mean fields, the chiral quark-soliton model *

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“…); CI result [21,22] (dotted, blue); dressed-quark core contribution inferred using SL-model [24] (dot-dashed, green); and data from Refs. [8,[133][134][135][136][137], whose errors are commensurate with the point size. Right panel.…”

Section: Approachmentioning

confidence: 99%

Nucleon and $${\Delta}$$ Δ Elastic and Transition Form Factors

et al. 2014

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We present a unified study of nucleon and ∆ elastic and transition form factors, and compare predictions made using a framework built upon a Faddeev equation kernel and interaction vertices that possess QCD-like momentum dependence with results obtained using a symmetry-preserving treatment of a vector ⊗ vector contact-interaction. The comparison emphasises that experiments are sensitive to the momentum dependence of the running couplings and masses in the strong interaction sector of the Standard Model and highlights that the key to describing hadron properties is a veracious expression of dynamical chiral symmetry breaking in the bound-state problem. Amongst the results we describe, the following are of particular interest:possesses a zero at Q 2 = 9.5 GeV 2 ; any change in the interaction which shifts a zero in the proton ratio to larger Q 2 relocates a zero inthere is likely a value of momentum transfer above which G n E > G p E ; and the presence of strong diquark correlations within the nucleon is sufficient to understand empirical extractions of the flavour-separated form factors. Regarding the ∆(1232)-baryon, we find that, inter alia: the electric monopole form factor exhibits a zero; the electric quadrupole form factor is negative, large in magnitude, and sensitive to the nature and strength of correlations in the ∆(1232) Faddeev amplitude; and the magnetic octupole form factor is negative so long as rest-frame P -and D-wave correlations are included. In connection with the N → ∆ transition, the momentum-dependence of the magnetic transition form factor, G * M , matches that of G n M once the momentum transfer is high enough to pierce the meson-cloud; and the electric quadrupole ratio is a keen measure of diquark and orbital angular momentum correlations, the zero in which is obscured by meson-cloud effects on the domain currently accessible to experiment. Importantly, within each framework, identical propagators and vertices are sufficient to describe all properties discussed herein. Our analysis and predictions should therefore serve as motivation for measurement of elastic and transition form factors involving the nucleon and its resonances at high photon virtualities using modern electron-beam facilities.

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Investigation of the Conjectured Nucleon Deformation at Low Momentum Transfer

Cited by 108 publications

References 33 publications

Extraction of electromagnetic transition form factors for nucleon resonances within a dynamical coupled-channels model

Extraction of electromagnetic transition form factors for nucleon resonances within a dynamical coupled-channels model

Electromagnetic Form Factors of the Baryon Decuplet

Nucleon and $${\Delta}$$ Δ Elastic and Transition Form Factors

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