A pattern for the flavor dependent quark-antiquark interaction

Chen, Muyang; Chang, Lei

doi:10.1088/1674-1137/43/11/114103

Cited by 23 publications

(28 citation statements)

References 72 publications

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“…The weak decay constant may also be inferred from the Gell-Mann-Oakes-Renner (GMOR) relation which is just a different expression of the axialvector WTI that describes the axialvector-current conservation in the chiral limit; see for instance Refs. [59,69] for details of the calculation. Comparing the decay constant obtained with Eq.…”

Section: Bound-state Equationmentioning

confidence: 99%

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Distribution amplitudes of heavy mesons and quarkonia on the light front

et al. 2020

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The ladder kernel of the Bethe–Salpeter equation is amended by introducing a different flavor dependence of the dressing functions in the heavy-quark sector. Compared with earlier work this allows for the simultaneous calculation of the mass spectrum and leptonic decay constants of light pseudoscalar mesons, the $$D_u$$ D u , $$D_s$$ D s , $$B_u$$ B u , $$B_s$$ B s and $$B_c$$ B c mesons and the heavy quarkonia $$\eta _c$$ η c and $$\eta _b$$ η b within the same framework at a physical pion mass. The corresponding Bethe–Salpeter amplitudes are projected onto the light front and we reconstruct the distribution amplitudes of the mesons in the full theory. A comparison with the first inverse moment of the heavy meson distribution amplitude in heavy quark effective theory is made.

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Section: Bound-state Equationmentioning

confidence: 99%

“…This logic was subsequently applied to the Bethe-Salpeter equation (BSE) [69,70] with a flavor-dependent infrared component of the interaction model introduced in Ref. [71].…”

Section: Introductionmentioning

confidence: 99%

Distribution amplitudes of heavy mesons and quarkonia on the light front

et al. 2020

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“…Three sets of parameters of the charm and bottom system corresponding to the varying of the interaction width [33]. cc is the experiment value [37].…”

Section: Resultsmentioning

confidence: 99%

“…In Ref. [33] we build an interaction model, which takes into account the quark flavor dependence of the effective quark-antiquark interaction properly and preserves the axial-vector Ward Takahashi identity excellently. Our model not only gives a successful unified description of the light, heavy-light and heavy pseudoscalar and vector mesons, but also reduces the error of the B c (1S) meson mass from 110 MeV [34] to about 15 MeV.…”

Section: Introductionmentioning

confidence: 99%

“…A gaussian interaction model in the rainbow ladder (RL) approximation is quite successful for the light pseudoscalar and vector mesons [6][7][8][9]. This method was extended to study the heavy mesons [10,11] and heavy-light mesons [12] in recent years. Combining with the Faddeev equation, this approach can also be extended to study the baryons [3,13].…”

Section: Introductionmentioning

confidence: 99%

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Bc meson spectrum via Dyson-Schwinger equation and Bethe-Salpeter equation approach

2020

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We predict the masses of the lowlying Bc mesons with J P = 0 − , 1 − , 0 + , 1 + , 2 + , using a flavor dependent interaction pattern which gives an unified successful description of the light, heavy-light and heavy mesons and is also appliable to the radial excited heavy mesons. The errors are controlled carefully. With the errors from the RL approximation subduced, our predictions are consistent with the lQCD and quark model results, which supports strongly that the flavor dependent interaction pattern is reasonable. Our predictions provide significant guides to the experiment search of the Bc mesons.PACS numbers:

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The electromagnetic form factors of heavy-light pseudo-scalar and vector mesons

2024

J. High Energ. Phys.

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We systematically investigate the electromagnetic form factors of heavy-light pseudo-scalar and vector mesons within the Dyson-Schwinger/Bethe-Salpeter equations framework for the first time. It is found that the charge radius of vector meson is larger than that of its pseudo-scalar counterpart. In heavy-light systems, the flavor symmetry breaking will lead to a splitting of the form factor of different quark, and the distribution range of lighter and heavier quark gradually expands and contracts, respectively. The competition between them together generates the electromagnetic form factors of meson. Our results can be compared with other theoretical calculations and future experimental data.

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A pattern for the flavor dependent quark-antiquark interaction

Cited by 23 publications

References 72 publications

Distribution amplitudes of heavy mesons and quarkonia on the light front

Distribution amplitudes of heavy mesons and quarkonia on the light front

Bc meson spectrum via Dyson-Schwinger equation and Bethe-Salpeter equation approach

The electromagnetic form factors of heavy-light pseudo-scalar and vector mesons

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