Electromagnetic properties of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Δ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1232</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>and decuplet baryons in the self-consistent<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>chiral quark-soliton model

Ledwig, Tim; Silva, António; Vanderhaeghen, Marc

doi:10.1103/physrevd.79.094025

Cited by 43 publications

(66 citation statements)

References 82 publications

(187 reference statements)

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“…Moreover, the ∆ is larger than the nucleon which is quantified by the various radii in Table II. This is an intuitive result and in line with calculations of the electric mean square radius of ∆ + in models [42] and lattice QCD [43]. The result for the D-term of the ∆ in Table II is to the best of our knowledge the first calculation of the D-term of the ∆-resonance.…”

Section: Selected Resultssupporting

confidence: 72%

LHCb pentaquarks as a baryon-ψ(2S)bound state: Prediction of isospin-32pentaquarks with hidden charm

2016

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The pentaquark P + c (4450) recently discovered by LHCb has been interpreted as a bound state of Ψ(2S) and nucleon. The charmonium-nucleon interaction which provides the binding mechanism is given, in the heavy quark limit, in terms of charmonium chromoelectric polarizabilities and densities of the nucleon energy-momentum tensor (EMT). In this work we show in model-independent way, by exploring general properties of the effective interaction, that Ψ(2S) can form bound states with nucleon and ∆. Using the Skyrme model to evaluate the effective interaction in the large-Nc limit and estimate 1/Nc corrections, we confirm the results from prior work which were based on a different effective model (chiral quark soliton model). This shows that the interpretation of P + c (4450) is remarkably robust and weakly dependent on the details of the effective theories for the nucleon EMT. We explore the formalism further and present robust predictions of isospin pentaquarks with hidden charm can be observed.

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Section: Selected Resultssupporting

confidence: 72%

LHCb pentaquarks as a baryon-ψ(2S)bound state: Prediction of isospin-32pentaquarks with hidden charm

2016

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“…The contribution of the sea-quark polarization to the ∆ + E2 form factor is dominant over that of the valence quarks in lower Q 2 regions (0 ≤ Q 2 ≤ 0.3 GeV 2 ), which is opposite to the case of both the E0 and M 1 form factors of the ∆ + , as already discussed in Ref. [88]. In particular, the sea-quark polarization gives more than 90 % contribution to the ∆ + E2 form factor in the vicinity of Q 2 = 0.…”

Section: Resultsmentioning

confidence: 54%

“…In fact, The EM form factors of the ∆ baryon have been already studied by Ref. [88] within the same framework, with flavor SU(3) symmetry assumed 1 . In this work, we want to investigate the EM form factors of all the members in the baryon decuplet, taking into account the 1/N c rotational corrections and the effects of flavor SU(3) symmetry breaking.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking

Kim

2019

Eur. Phys. J. C

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We investigate the electromagnetic form factors of the baryon decuplet within the framework of the SU(3) self-consistent chiral quark-soliton model, taking into account the 1/Nc rotational corrections and the effects of flavor SU(3) symmetry breaking. We first examine the valence-and sea-quark contributions to each electromagnetic form factor of the baryon decuplet and then the effects of the flavor SU(3) symmetry breaking. The present results are in good agreement with the recent lattice data. We also compute the charge radii, the magnetic radii, the magnetic dipole moments and the electric quadrupole moments, comparing their results with those from other theoretical works. We also make a chiral extrapolation to compare the present results with the lattice data in a more quantitative manner. The results show in general similar tendency to the lattice results. In particular, the results of the M 1 and E2 form factors are in good agreement with those of lattice QCD.

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“…All of these results seem to suggest that the contribution of the pion cloud to the quadrupole moment could be quite large. On the other hand, calculations based on χPT [11], and recent results derived in a χQSM [20] all of which include the pion cloud, suggest that the pion cloud effect might be smaller than estimates based on Eq. (6).…”

mentioning

confidence: 78%

Electric quadrupole and magnetic octupole moments of the Δ

2009

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Using a covariant spectator constituent quark model we predict an electric quadrupole moment Q ∆ + = −0.043 efm 2 and a magnetic octupole moment O ∆ + = −0.0035 efm 3 for the ∆ + excited state of the nucleon.Although it was the first nucleon resonance to be discovered, the properties of the ∆ are almost completely unknown. Only the ∆ ++ and ∆ + magnetic moments have been measured, and these measurements have large error bars [1,2,3]. Most of the information we have about the ∆ comes from indirect information, such as the study of the γN → ∆ transition [4].The dominant ∆ elastic form factors are the electric charge G E0 and magnetic dipole G M1 . The subleading form factors are the electric quadrupole (G E2 ) and magnetic octupole (G M3 ). Those form factors measure the deviation of the charge and magnetic dipole distribution from a symmetric form [5]. At Q 2 = 0 the form factors define the magnetic dipolemoments, where e is the electric charge and M ∆ the ∆ mass.Until recently, there were essentially only theoretical predictions for µ ∆ (see Ref.[6] for details) and Q ∆ [7,8,9,10,11,12,13,14]. The exception was the pioneering work in lattice QCD [15], where all the form factors were estimated for low Q 2 , although the statistics for G E2 and G M3 were very poor.Recent lattice QCD calculations of all four form factors over a limited Q 2 range have revived interest in the ∆ moments, especially the interesting quadrupole and octupole moments [16,17]. These results are obtained only for unphysical pion masses in the range of 350-700 MeV so some extrapolation to the physical pion mass is required [18,19]. Still, in the absence of direct experimental information, lattice QCD provides the best reference for theoretical calculations. Stimulated by these new lattice results the covariant spectator quark model [6] and chiral Quark-Soliton model (χQSM) [20] have been used to estimate the ∆ form factors. Simultaneously, a lattice technique based on the background-field method [21] has been used to estimate the µ ∆ with great precision [22]. The octupole moment O ∆ has also been evaluated by Buchmann [5] using a deformed pion cloud model, and QCD sum rules (QCDSR) have been used to estimateThe size of the moments Q ∆ and O ∆ tells us if the ∆ is deformed, and in which direction. The nucleon, as a spin 1/2 particle, can have no electric quadrupole moment [24] [although the possibility remains, as pointed out by Buchmann and Henley [25], that it might be a collective state with an intrinsic quadrupole moment]. While the measurement of the quadrupole form factors for the γN → ∆ transition gives some information about the deformation of the ∆ [26], it is very important to obtain an independent estimate [17,27]. Motivated by these considerations, the Nicosia-MIT and the Adelaide groups are presently working on an evaluation of G M3 using lattice QCD [17,28]. Also Ledwig and collaborators are working in the same subject [20] using the χQSM.In this Letter we use the covariant spectator formalism [29] to evaluate Q ∆ and O ∆ . Foll...

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Electromagnetic properties of theΔ(1232)and decuplet baryons in the self-consistentSU(3)chiral quark-soliton model

Cited by 43 publications

References 82 publications

LHCb pentaquarks as a baryon-ψ(2S)bound state: Prediction of isospin-32pentaquarks with hidden charm

LHCb pentaquarks as a baryon-ψ(2S)bound state: Prediction of isospin-32pentaquarks with hidden charm

Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking

Electric quadrupole and magnetic octupole moments of the Δ

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