Hadronic decays of mesons and baryons in the Dyson-Schwinger approach

Abstract

We study hadronic decays of mesons and baryons in the context of the Dyson-Schwinger equations of QCD. Starting from a well-established effective interaction in rainbow-ladder truncation, we consistently calculate all ingredients of the appropriate decay diagrams. The resulting strong couplings are presented as functions of the quark mass from the chiral limit up to the respective decay thresholds. In particular, we investigate the ρππand for the first time the ΔN πtransitions. Both meson and baryon results compare well to available lattice QCD results as well as experimental data and present the first step towards a comprehensive covariant study of hadron resonances in the Dyson-Schwinger approach.

References in corpus (20)

• Pinch Technique: Theory and Applications
• Electromagnetic excitation of the Delta(1232)-resonance
• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• Vector meson form factors and their quark-mass dependence
• Nucleon electromagnetic form factors from the covariant Faddeev equation
• Perspective on rainbow-ladder truncation
• Nucleon to Delta transition form factors with $N_F=2+1$ domain wall fermions
• Delta and Omega electromagnetic form factors in a Dyson-Schwinger/Bethe-Salpeter approach
• U_A(1) anomaly and eta' mass from an infrared singular quark-gluon vertex
• A covariant study of tensor mesons
• Matrix algorithms for solving (in)homogeneous bound state equations
• Delta-baryon mass in a covariant Faddeev approach
• Strong decays of heavy baryons in Bethe-Salpeter formalism
• Rho-meson, Bethe-Salpeter equation, and the far infrared
• Structure of meson-baryon interaction vertices
• Point-Form Hamiltonian Dynamics and Applications
• Covariant calculation of nonstrange decays of strange baryon resonances
• Delta properties in the rainbow-ladder truncation of Dyson-Schwinger equations
• Strong decay ${\Delta }^{++}\to p\pi$ with light-cone QCD sum rules
• Review on dynamically generated resonances

Cited by in corpus (30)

• Baryons as relativistic three-quark bound states
• Interaction model for the gap equation
• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• Commentary on rainbow-ladder truncation for excited states and exotics
• Nucleon and Roper electromagnetic elastic and transition form factors
• Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
• On light baryons and their excitations
• Bottomonium in a Bethe-Salpeter-equation study
• Delta and Omega masses in a three-quark covariant Faddeev approach
• Nucleon to Delta electromagnetic transition in the Dyson-Schwinger approach
• Masses of J^PC =1^-+ exotic quarkonia in a Bethe-Salpeter-equation approach
• Effects of a dressed quark-gluon vertex in vector heavy-light mesons and theory average of B(c)* meson mass
• Nucleon Compton scattering in the Dyson-Schwinger approach
• Elucidating the effect of intermediate resonances in the quark interaction kernel on the time-like electromagnetic pion form factor
• Vector mesons as dynamical resonances in the Bethe-Salpeter framework
• Effects of a dressed quark-gluon vertex in pseudoscalar heavy-light mesons
• Aspects of open-flavour mesons in a comprehensive DSBSE study
• The $\sigma$-meson: four-quark vs. two-quark components and decay width in a Bethe-Salpeter approach
• Unified description of hadron-photon and hadron-meson scattering in the Dyson-Schwinger approach
• On a new approach to meson phenomenology with the Bethe-Salpeter equation
• Light-quarkonium spectra and orbital-angular-momentum decomposition in a Bethe-Salpeter-equation approach
• Progress in the calculation of nucleon transition form factors
• The Quark Propagator in a Truncation Scheme beyond the Rainbow Approximation
• Charming quasi-exotic open-flavor mesons
• Quasi-exotic open-flavor mesons
• Heavy-light mesons spectra in a contact interaction
• Derivation of the gap and Bethe-Salpeter equations at large $N_c$ limit and symmetry preserving truncations
• S- and D-wave vector charmonia
• Pole-fitting for complex functions: enhancing standard techniques by artificial-neural-network classifiers and regressors
• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings from Dyson-Schwinger equations framework