Light-quarkonium spectra and orbital-angular-momentum decomposition in a Bethe–Salpeter-equation approach

  title={Light-quarkonium spectra and orbital-angular-momentum decomposition in a Bethe–Salpeter-equation approach},
  author={Thomas Hilger and Mar{\'i}a G{\'o}mez-Rocha and A. Krassnigg},
  journal={The European Physical Journal C},
We investigate the light-quarkonium spectrum using a covariant Dyson–Schwinger–Bethe–Salpeter-equation approach to QCD. We discuss splittings among as well as orbital angular momentum properties of various states in detail and analyze common features of mass splittings with regard to properties of the effective interaction. In particular, we predict the mass of $$\bar{s}s$$s¯s exotic $$1^{-+}$$1-+ states, and identify orbital angular momentum content in the excitations of the $$\rho $$ρ meson… 

Mass calculations of light quarkonium, exotic JPC=0+− hybrid mesons from Gaussian sum rules

We extend previous calculations of leading-order correlation functions of spin-0 and spin-1 light quarkonium hybrids to include QCD condensates of dimensions five and six, with a view to improving

Mass Spectrum of Pseudo-Scalar Glueballs from a Bethe–Salpeter Approach with the Rainbow–Ladder Truncation

We suggest a framework based on the rainbow approximation to the Dyson–Schwinger and Bethe–Salpeter equations with effective parameters adjusted to lattice QCD data to calculate the masses of the

Global Dyson-Schwinger-Bethe-Salpeter Approach to Mesons with Open Flavour

Exploiting an interplay of the Bethe-Salpeter equation enabling us to regard mesons as bound states of quark and antiquark and the Dyson-Schwinger equation controlling the dressed quark propagator,

Partial wave analysis for the in-hadron condensate

In-hadron condensates, defined as the scalar form factors at zero-momentum transfer, are investigated for flavor-symmetric mesons in pseudoscalar and vector channels under the rainbow-ladder truncation

Pseudo-scalar mesons at finite temperatures from a Dyson-Schwinger-Bethe-Salpeter approach

The truncated Dyson-Schwinger–Bethe-Salpeter equations are employed at non-zero temperature. The truncations refer to a rainbow-ladder approximation augmented with an interaction kernel which

Quasi-exotic open-flavor mesons

Abstract.Meson states with exotic quantum numbers arise naturally in a covariant bound-state framework in QCD. We investigate the consequences of shifting quark masses such that the states are no

Chiral crossover transition from the Dyson-Schwinger equations in a sphere

Within the framework of Dyson--Schwinger equations of QCD, we study the effect of finite volume on the chiral phase transition in a sphere with the MIT boundary condition. We find that the chiral

Exposing the effect of the p -wave component in the pion triplet under a strong magnetic field

The static properties, masses and decay constants, of a pseudoscalar meson triplet in a strongly magnetized medium are studied through the Dyson-Schwinger equation approach treatment of a contact

Pseudo-Scalar q ¯ q Bound States at Finite Temperatures Within a Dyson-Schwinger–Bethe-Salpeter Approach

The combined Dyson-Schwinger–Bethe-Salpeter equations are employed at non-zero temperature. The truncations refer to a rainbow-ladder approximation augmented with an interaction kernel which

Contemporary continuum QCD approaches to excited hadrons

Amongst the bound states produced by the strong interaction, radially excited meson and nucleon states o er an important phenomenological window into the long- range behavior of the coupling constant

Bethe-Salpeter study of vector meson masses and decay constants

The masses and decay constants of the light vector mesons $\rho/\omega$, $\phi$ and $K^\star$ are studied within a ladder-rainbow truncation of the coupled Dyson-Schwinger and Bethe-Salpeter

Mass spectra and Regge trajectories of light mesons in the Bethe-Salpeter approach

Abstract.We extend the calculation of relativistic bound states of a fermion anti-fermion pair in the Bethe-Salpeter formalism to the case of total angular momentum $ J=3$ . Together with results for

Hadron Properties from QCD Bound-State Equations

This thesis presents an investigation of meson and baryon properties in the framework of covariant bound-state equations based on the Dyson-Schwinger equations of QCD. Pion and rho-meson, diquark,

Properties of quarks and mesons in the Dyson-Schwinger/Bethe-Salpeter approach

In this thesis, the Dyson-Schwinger - Bethe-Salpeter formalism is investigated and used to study the meson spectrum at zero temperature, as well as the chiral phase transition in finite-temperature

Aspects and consequences of a dressed-quark-gluon vertex

Features of the dressed-quark-gluon vertex and their role in the gap and Bethe-Salpeter equations are explored. It is argued that quenched lattice data indicate the existence of net attraction in the

Spectra of heavy mesons in the Bethe-Salpeter approach

Abstract.We present a calculation of the spectrum of charmonia, bottomonia and Bc-meson states with “ordinary” and exotic quantum numbers. We discuss the merits and limitations of a rainbow-ladder

Confinement phenomenology in the Bethe-Salpeter equation

We consider the solution of the Bethe-Salpeter equation in the Euclidean metric for a $\overline{q}q$ vector meson in the circumstance where the dressed quark propagators have timelike complex

Heavy Pseudoscalar Mesons in a Schwinger-Dyson–Bethe-Salpeter Approach

The mass spectrum of heavy pseudoscalar mesons, as quark–antiquark bound systems, is considered within the Bethe-Salpeter formalism with momentum-dependent masses of the constituents. This dependence

Nucleon Compton scattering in the Dyson-Schwinger approach

We analyze the nucleon's Compton scattering amplitude in the Dyson-Schwinger/Faddeev approach. We calculate a subset of diagrams that implements the nonperturbative handbag contribution as well as