Heavy Baryons in the Quark-Diquark Picture

Эберт, Д.; Feldmann, Thorsten; Kettner, Christiane; Reinhardt, Hugo

doi:10.1142/s0217751x98000482

Cited by 19 publications

(22 citation statements)

References 43 publications

(82 reference statements)

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“…The obtained ground state masses of scalar and axial vector light diquarks are presented in Table 1. These masses are in good agreement with values found within the Nambu-Jona-Lasinio (NJL) model [5], Bethe-Salpeter equation (BSE) with different approximations for the kernel [6,7] and lattice calculations [8]. We also calculate the matrix element of the quark current between diquark states using the obtained diquark wave functions.…”

supporting

confidence: 82%

Relativistic description of heavy baryons

Эберт¹,

Фаустов²,

Galkin³

2007

Proceedings of International Europhysics Conference on High Energy Physics — PoS(HEP2005)

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The masses of the ground state heavy baryons consisting of two light (u, d, s) and one heavy (c, b) quarks are calculated in the heavy-quark-light-diquark approximation within the constituent quark model. The light quarks, forming the diquark, and the light diquark in the baryon are treated completely relativistically. The expansion in v/c up to the second order is used only for the heavy (b and c) quarks. The diquark-gluon interaction is taken modified by the form factor describing the light diquark structure in terms of the diquark wave functions. An overall reasonable agreement of the obtained predictions with available experimental data and previous theoretical results is found.

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supporting

confidence: 82%

Relativistic description of heavy baryons

Эберт¹,

Фаустов²,

Galkin³

2007

Proceedings of International Europhysics Conference on High Energy Physics — PoS(HEP2005)

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“…Despite the existence of this tractable truncation of the three-body problem in quantum field theory, the spectrum of baryons has almost escaped analysis via the DSEs. There are some notable exceptions; e.g., studies of the spectrum of ground-state octet and decuplet baryons using simple interaction kernels [21; 22; 23], and an extension to baryons containing a single heavy-quark [24]. An attempt has recently been made to unify the treatment of mesons and baryons through the consistent use of a rainbow-ladder truncation [25].…”

Section: Introductionmentioning

confidence: 99%

Masses of Ground- and Excited-State Hadrons

et al. 2011

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We present the first Dyson-Schwinger equation calculation of the light hadron spectrum that simultaneously correlates the masses of meson and baryon ground-and excited-states within a single framework. At the core of our analysis is a symmetry-preserving treatment of a vector-vector contact interaction. In comparison with relevant quantities the root-mean-square-relative-error/degreeof freedom is 13%. Notable amongst our results is agreement between the computed baryon masses and the bare masses employed in modern dynamical coupled-channels models of pion-nucleon reactions. Our analysis provides insight into numerous aspects of baryon structure; e.g., relationships between the nucleon and ∆ masses and those of the dressed-quark and diquark correlations they contain.

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“…Light flavor mesons as tetra-quark [23,24,25,26,27,28,29,30,31,32] and mixing with q q state [33,34,35] are discussed. There are various studies the heavy baryons focused on diquark [36,37,38,39,40], e.g., single heavy quark/light diquark (Qqq) picture [41,42,43,44,45]. The other exotic states including heavy quark(s) are studied [46,47,48,49,50,51,52].…”

Section: Introductionmentioning

confidence: 99%

Non-Perturbative Analysis of Various Mass Generation by Gluonic Dressing Effect with the Schwinger-Dyson Formalism in QCD

Imai¹,

Suganuma²

2016

JMP

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As a topic of "quantum color dynamics", we study various mass generation of colored particles and gluonic dressing effect in a non-perturbative manner, using the Schwinger-Dyson (SD) formalism in (scalar) QCD. First, we review dynamical quark-mass generation in QCD in the SD approach as a typical fermion-mass generation via spontaneous chiral-symmetry breaking. Second, using the SD formalism for scalar QCD, we investigate the scalar diquark, a boundstate-like object of two quarks, and its mass generation, which is clearly non-chiral-origin. Here, the scalar diquark is treated as an extended colored scalar field, like a meson in effective hadron models, and its effective size R is introduced as a form factor. As a diagrammatical difference, the SD equation for the scalar diquark has an additional 4-point interaction term, in comparison with the single quark case. The diquark size R is taken to be smaller than a hadron, R ∼ 1 fm, and larger than a constituent quark, R ∼ 0.3 fm. We find that the compact diquark with R ≃ 0.3 fm has a large effective mass of about 900 MeV, and therefore such a compact diquark is not acceptable in effective models for hadrons. We also consider the artificial removal of 3-and 4-point interaction, respectively, to see the role of each term, and find that the 4-point interaction plays the dominant role of the diquark self-energy. From the above two different cases, quarks and diquarks, we guess that the mass generation of colored particles is a general result of non-perturbative gluonic dressing effect.

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Heavy Baryons in the Quark-Diquark Picture

Cited by 19 publications

References 43 publications

Relativistic description of heavy baryons

Relativistic description of heavy baryons

Masses of Ground- and Excited-State Hadrons

Non-Perturbative Analysis of Various Mass Generation by Gluonic Dressing Effect with the Schwinger-Dyson Formalism in QCD

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