Excited Hadrons and the Analytical Structure of Bound-State Interaction Kernels

El-Bennich, Bruno; Krein, G.; Rojas, Eduardo; Serna, Fernando E.

doi:10.1007/s00601-016-1133-x

Cited by 33 publications

(28 citation statements)

References 67 publications

(32 reference statements)

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“…Herein we re-appreciate earlier work on heavy-light mesons and quarkonia [59][60][61][62][63][64][65] within a continuum approach to two-point and four-point functions whose salient features will be summarized in Sect. 2.…”

Section: Introductionmentioning

confidence: 91%

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: Introductionmentioning

confidence: 91%

Distribution amplitudes of heavy mesons and quarkonia on the light front

et al. 2020

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“…A that avoids also the cuts generated by those poles, it is useful to parametrise the quark propagator S(p) = −i / pσ v (p 2 ) + σ s (p 2 ) simply as a sum of poles (see e.g. [50])…”

Section: Poles Of the Quark Propagatormentioning

confidence: 99%

On the effect of resonances in the quark-photon vertex

Miramontes

Sanchis-Alepuz

2019

Eur. Phys. J. A

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A calculation of hadronic timelike form factors in the Poincaré-covariant Bethe-Salpeter formalism necessitates knowing the analytic structure of the non-perturbative quark-photon vertex in the context of the Poincaré-covariant Bethe-Salpeter formalism. We include, in the interaction between quark and antiquark, the possibility of non-valence effects by introducing pions as explicit degrees of freedom. These encode the presence of intermediate resonances in the Bethe-Salpeter interaction kernel. We calculate the vertex for real as well as complex photon momentum. We show how the vertex reflects now the correct physical picture, with the rho resonance appearing as a pole in the complex momentum plane. A multiparticle branch cut for values of the photon momentum from −4m 2 π to −∞ develops. This calculation represents an essential step towards the calculation of timelike form factors in the Bethe-Salpeter approach.

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“…Including additional tensor structures of the dressed quark-gluon vertex is commonly compensated by readjusting the infrared-interaction strength of this model "dressing" function; the functional form of the quark- mass function as well as the position of associated complex-conjugate mass poles are consequently modified [38]. While additional transverse vertex structures can be included in the DSE kernel without notable computational efforts, this is not the case for the the integral kernel of antiquark-quark bound-state equations.…”

Section: Introductionmentioning

confidence: 99%

Interplay of dynamical and explicit chiral symmetry breaking effects on a quark

2019

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The relative contributions of explicit and dynamical chiral symmetry breaking in QCD models of the quark-gap equation are studied in dependence of frequently employed ansätze for the dressed interaction and quark-gluon vertex. The explicit symmetry breaking contributions are defined by a constituent-quark sigma term whereas the combined effects of explicit and dynamical symmetry breaking are described by a Euclidean constituent-mass solution. We extend this study of the gap equation to a quark-gluon vertex beyond the Abelian approximation complemented with numerical gluon-and ghost-dressing functions from lattice QCD. We find that the ratio of the sigma term over the Euclidean mass is largely independent of nonperturbative interaction and vertex models for current-quark masses, m u,d (µ) ≤ m(µ) ≤ m b (µ), and equal contributions of explicit and dynamical chiral symmetry breaking occur at m(µ) ≈ 400 MeV. For massive solutions of the gap equation with lattice propagators this value decreases to about 220 MeV.

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Excited Hadrons and the Analytical Structure of Bound-State Interaction Kernels

Cited by 33 publications

References 67 publications

Distribution amplitudes of heavy mesons and quarkonia on the light front

Distribution amplitudes of heavy mesons and quarkonia on the light front

On the effect of resonances in the quark-photon vertex

Interplay of dynamical and explicit chiral symmetry breaking effects on a quark

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