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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The chiral $SU(3)$ Lagrangian with charmed baryons of spin $J^P=1/2^+$ and$J^P=3/2^+$ is analyzed. We consider all counter terms that are relevant atnext-to-next-to-next-to-leading order (N$^3$LO) in a chiral extrapolation ofthe charmed baryon masses. At N$^2$LO we find 16 low-energy parameters. Thereare 3 mass parameters for the anti-triplet and the two sextet baryons, 6parameters describing the meson-baryon vertices and 7 symmetry breakingparameters. The heavy-quark spin symmetry predicts four sum rules for themeson-baryon vertices and degenerate masses for the two baryon sextet fields.Here a large-$N_c$ operator analysis at NLO suggests the relevance of onefurther spin-symmetry breaking parameter. Going from N$^2$LO to N$^3$LO adds 17chiral symmetry breaking parameters and 24 symmetry preserving parameters. Forthe leading symmetry conserving two-body counter terms involving two baryonfields and two Goldstone boson fields we find 36 terms. While the heavy-quarkspin symmetry leads to $36-16=20$ sum rules, an expansion in $1/N_c$ atnext-to-leading order (NLO) generates $36-7= 29$ parameter relations. Acombined expansion leaves 3 unknown parameters only. For the symmetry breakingcounter terms we find 17 terms, for which there are $17-9=8$ sum rules from theheavy-quark spin symmetry and $17-5=12 $ sum rules from a $1/N_c$ expansion atNLO.

Combined large-N_c and heavy-quark operator analysis for the chiral Lagrangian with charmed baryons