English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The leading-order chiral Lagrangian for the baryon octet and decuplet statescoupled to Goldstone bosons and external sources contains six low-energyconstants. Five of them are fairly well known from phenomenology, but the sixthone is practically unknown. This coupling constant provides the strength of the(p-wave) coupling of Goldstone bosons to decuplet states. Its size and evensign are under debate. Quark model and QCD for a large number of colors providepredictions, but some recent phenomenological analyses suggest even an oppositesign for the Delta-pion coupling. The Goldberger-Treiman relation connects thiscoupling constant to the axial charge of the Delta baryon. This suggests aWu-type experiment to determine the unknown low-energy constant. While this isnot feasible in the Delta sector because of the large hadronic width of theDelta, there is a flavor symmetry related process that is accessible: the weaksemileptonic decay of the Omega baryon to a spin 3/2 cascade baryon. A broadresearch program is suggested that can pin down at least the rough size and thesign of the last unknown low-energy constant of the leading-order Lagrangian.It encompasses experimental measurements, in particular the forward-backwardasymmetry of the semileptonic decay, together with a determination of thequark-mass dependences using lattice QCD for the narrow decuplet states andchiral perturbation theory to extrapolate to the Delta sector. Besidesdiscussing the strategy of the research program, the present work provides afeasibility check based on a simple leading-order calculation.

Goldberger-Treiman relation and Wu-type experiment in the decuplet sector