Bottomonium in a Bethe-Salpeter-equation study

Blank, M.; Krassnigg, A.

doi:10.1103/physrevd.84.096014

Cited by 85 publications

(83 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…3.20 we compare the experimental spectrum with the rainbow-ladder Bethe-Salpeter calculation of Ref. [384], with similar results obtained in [385,386]. We see an overall reasonable agreement in most channels, especially for the pseudoscalar and vector mesons including their ground states and radial excitations.…”

Section: Mesonssupporting

confidence: 53%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

421

530

View full text Add to dashboard Cite

We review the spectrum and electromagnetic properties of baryons described as relativistic three-quark bound states within QCD. The composite nature of baryons results in a rich excitation spectrum, whilst leading to highly non-trivial structural properties explored by the coupling to external (electromagnetic and other) currents. Both present many unsolved problems despite decades of experimental and theoretical research. We discuss the progress in these fields from a theoretical perspective, focusing on nonperturbative QCD as encoded in the functional approach via Dyson-Schwinger and Bethe-Salpeter equations. We give a systematic overview as to how results are obtained in this framework and explain technical connections to lattice QCD. We also discuss the mutual relations to the quark model, which still serves as a reference to distinguish 'expected' from 'unexpected' physics. We confront recent results on the spectrum of non-strange and strange baryons, their form factors and the issues of two-photon processes and Compton scattering determined in the DysonSchwinger framework with those of lattice QCD and the available experimental data. The general aim is to identify the underlying physical mechanisms behind the plethora of observable phenomena in terms of the underlying quark and gluon degrees of freedom.

show abstract

Section: Mesonssupporting

confidence: 53%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

421

530

View full text Add to dashboard Cite

show abstract

“…Thus, the RL approximation ought to work better for heavy mesons such as the charmonia and bottonium, which is indeed confirmed in numerical studies [29,44,46]. The effects of DSCB and the importance of other tensor structures in the quark-gluon vertex become increasingly more important for lighter quarks, where, for example, mass splittings between parity partners are only satisfactorily described by including the tensor structure which corresponds to the chromomagnetic moment [59].…”

Section: Pseudoscalar Bound Statesmentioning

confidence: 80%

Exciting flavored bound states

2014

View full text Add to dashboard Cite

We study ground and radial excitations of flavor singlet and flavored pseudoscalar mesons within the framework of the rainbow-ladder truncation using an infrared massive and finite interaction in agreement with recent results for the gluon-dressing function from lattice QCD and DysonSchwinger equations. Whereas the ground-state masses and decay constants of the light mesons as well as charmonia are well described, we confirm previous observations that this truncation is inadequate to provide realistic predictions for the spectrum of excited and exotic states. Moreover, we find a complex conjugate pair of eigenvalues for the excited D (s) mesons, which indicates a nonHermiticity of the interaction kernel in the case of heavy-light systems and the present truncation. Nevertheless, limiting ourselves to the leading contributions of the Bethe-Salpeter amplitudes, we find a reasonable description of the charmed ground states and their respective decay constants.

show abstract

“…Within this approach, the nonperturbatively dressed quark propagator is obtained as solution to the quark Dyson-Schwinger equation (DSE) and serves as an input for the quark-antiquark meson Bethe-Salpeter equation (BSE) [31,32]. The RL truncation provides a reliable meson phenomenology for heavy-quark mesons [33][34][35][36]. For light-quark mesons the situation is more difficult and a recent analysis suggests that, apart from obvious effects of resonant corrections to the truncation, the situation requires even further study to arrive at a definite conclusion [37].…”

Section: Introductionmentioning

confidence: 99%