Elastic and transition form factors of the Δ(1232)

Segovia, Jorge; Chen, Chen; Cloet, Ian C.; Roberts, Craig D.; Schmidt, Sebastian M.; Wan, Shaolong

doi:10.1007/s00601-013-0734-x

Title: Elastic and transition form factors of the Δ(1232)

Journal Article · Tue Dec 10 00:00:00 EST 2013 · Few-Body Systems

DOI:https://doi.org/10.1007/s00601-013-0734-x· OSTI ID:1368047

Segovia, Jorge ^[1]; Chen, Chen ^[2]; Cloet, Ian C. ^[1]; Roberts, Craig D. ^[1]; Schmidt, Sebastian M. ^[3]; Wan, Shaolong ^[2]

Argonne National Lab. (ANL), Argonne, IL (United States)
Univ. of Science and Technology of China, Hefei (People's Republic of China)
Forschungszentrum Julich and JARA, Julich (Germany)

Predictions obtained with a confining, symmetry-preserving treatment of a vector Ⓧ vector contact interaction at leading-order in a widely used truncation of QCD’s Dyson–Schwinger equations are presented for Δ and Ω baryon elastic form factors and the γN → Δ transition form factors. This simple framework produces results that are practically indistinguishable from the best otherwise available, an outcome which highlights that the key to describing many features of baryons and unifying them with the properties of mesons is a veracious expression of dynamical chiral symmetry breaking in the hadron bound-state problem. The following specific results are of particular interest. The Δ elastic form factors are very sensitive to m_Δ. Hence, given that the parameters which define extant simulations of lattice-regularised QCD produce Δ-resonance masses that are very large, the form factors obtained therewith are a poor guide to properties of the Δ(1232). Considering the Δ-baryon’s quadrupole moment, whilst all computations produce a negative value, the conflict between theoretical predictions entails that it is currently impossible to reach a sound conclusion on the nature of the Δ-baryon’s deformation in the infinite momentum frame. Furthermore, results for analogous properties of the Ω baryon are less contentious. In connection with the N → Δ transition, the Ash-convention magnetic transition form factor falls faster than the neutron’s magnetic form factor and nonzero values for the associated quadrupole ratios reveal the impact of quark orbital angular momentum within the nucleon and Δ; and, furthermore, these quadrupole ratios do slowly approach their anticipated asymptotic limits.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1368047

Journal Information:: Few-Body Systems, Vol. 55, Issue 1; ISSN 0177-7963

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 44 works

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Masses of ground and excited-state hadrons Roberts, H. L. L.; Chang, L.; Cloet, I. C. arXiv https://doi.org/10.48550/arxiv.1101.4244	text	January 2011
Flavor decomposition of the elastic nucleon electromagnetic form factors Cates, G. D.; de Jager, C. W.; Riordan, S. arXiv https://doi.org/10.48550/arxiv.1103.1808	text	January 2011
Nucleon and Roper electromagnetic elastic and transition form factors Wilson, D. J.; Cloet, I. C.; Chang, L. arXiv https://doi.org/10.48550/arxiv.1112.2212	text	January 2011
Confinement contains condensates Brodsky, Stanley J.; Roberts, Craig D.; Shrock, Robert arXiv https://doi.org/10.48550/arxiv.1202.2376	text	January 2012
Nucleon form factors and spin content in a quark-diquark model with a pion cloud Cloet, Ian C.; Miller, Gerald A. arXiv https://doi.org/10.48550/arxiv.1204.4422	text	January 2012
Features and flaws of a contact interaction treatment of the kaon Chen, Chen; Chang, Lei; Roberts, Craig D. arXiv https://doi.org/10.48550/arxiv.1212.2212	text	January 2012
Nucleon spin structure at very high-x Roberts, Craig D.; Holt, Roy J.; Schmidt, Sebastian M. arXiv https://doi.org/10.48550/arxiv.1308.1236	text	January 2013
Extended NJL Model for light and heavy mesons without q-qbar thresholds Ebert, D.; Feldmann, T.; Reinhardt, H. arXiv https://doi.org/10.48550/arxiv.hep-ph/9608223	text	January 1996
Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD Roberts, C. D.; Schmidt, S. M. arXiv https://doi.org/10.48550/arxiv.nucl-th/0005064	text	January 2000
Bethe-Salpeter equation and a nonperturbative quark-gluon vertex Bender, A.; Detmold, W.; Roberts, C. D. arXiv https://doi.org/10.48550/arxiv.nucl-th/0202082	text	January 2002
Strong Decays of Light Vector Mesons Jarecke, D.; Maris, P.; Tandy, P. C. arXiv https://doi.org/10.48550/arxiv.nucl-th/0208019	text	January 2002
Aspects and consequences of a dressed-quark-gluon vertex Bhagwat, M. S.; Hoell, A.; Krassnigg, A. arXiv https://doi.org/10.48550/arxiv.nucl-th/0403012	text	January 2004
Bethe-Salpeter Study of Vector Meson Masses and Decay Constants Maris, Pieter; Tandy, Peter. C. arXiv https://doi.org/10.48550/arxiv.nucl-th/9905056	text	January 1999

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Nucleon and $${\Delta}$$ Δ Elastic and Transition Form Factors Segovia, Jorge; Cloët, Ian C.; Roberts, Craig D. Few-Body Systems, Vol. 55, Issue 12 https://doi.org/10.1007/s00601-014-0907-2	journal	October 2014
$$N^*$$ N ∗ Structure and Strong QCD Roberts, Craig D. Few-Body Systems, Vol. 59, Issue 4 https://doi.org/10.1007/s00601-018-1385-8	journal	May 2018
Valence-Quark Structure of N* Resonances from DSEs Segovia, Jorge Few-Body Systems, Vol. 59, Issue 5 https://doi.org/10.1007/s00601-018-1402-y	journal	May 2018
The pion: an enigma within the Standard Model Horn, Tanja; Roberts, Craig D. Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 7 https://doi.org/10.1088/0954-3899/43/7/073001	journal	May 2016
Hadronic Observables from Dyson–Schwinger and Bethe–Salpeter equations Sanchis-Alepuz, Hèlios; Williams, Richard Journal of Physics: Conference Series, Vol. 631 https://doi.org/10.1088/1742-6596/631/1/012064	journal	July 2015
Masses of ground-state mesons and baryons, including those with heavy quarks Yin, Pei-Lin; Chen, Chen; Krein, Gastão Physical Review D, Vol. 100, Issue 3 https://doi.org/10.1103/physrevd.100.034008	journal	August 2019
Parton distribution amplitudes of light vector mesons Gao, Fei; Chang, Lei; Liu, Yu-Xin Physical Review D, Vol. 90, Issue 1 https://doi.org/10.1103/physrevd.90.014011	journal	July 2014
Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach Hilger, T.; Popovici, C.; Gómez-Rocha, M. Physical Review D, Vol. 91, Issue 3 https://doi.org/10.1103/physrevd.91.034013	journal	February 2015
Symmetry preserving truncations of the gap and Bethe-Salpeter equations Binosi, Daniele; Chang, Lei; Papavassiliou, Joannis Physical Review D, Vol. 93, Issue 9 https://doi.org/10.1103/physrevd.93.096010	journal	May 2016
The structure of the nucleon: Elastic electromagnetic form factors Punjabi, V.; Perdrisat, C. F.; Jones, M. K. The European Physical Journal A, Vol. 51, Issue 7 https://doi.org/10.1140/epja/i2015-15079-x	journal	July 2015
$γ^{*} γ \to η, η^{'}$ transition form factors Ding, Minghui; Raya, Khépani; Bashir, Adnan Physical Review D, Vol. 99, Issue 1 https://doi.org/10.1103/physrevd.99.014014	journal	January 2019
Parton distribution amplitudes of light vector mesons Gao, Fei; Chang, Lei; Liu, Yu-Xin arXiv https://doi.org/10.48550/arxiv.1405.0289	text	January 2014
Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach Hilger, Thomas; Popovici, Carina; Gomez-Rocha, Maria arXiv https://doi.org/10.48550/arxiv.1409.3205	text	January 2014
Symmetry preserving truncations of the gap and Bethe-Salpeter equations Binosi, Daniele; Chang, Lei; Papavassiliou, Joannis arXiv https://doi.org/10.48550/arxiv.1601.05441	text	January 2016

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