We present a new computation in a field-theoretical model of Coulomb-gauge QCD of the first radial and angular excitations of a $qqq$ system in an $SU(3)$ flavor-singlet state, ${\mathrm{\Lambda }}_{\mathrm{S}}$. The traditional motivation for the study is that the absence of flavor singlets in the lowest-lying spectrum is a direct consequence of the color degree of freedom. [The calculation is tested with decuplet baryons $\mathrm{\Delta }(1232)$ and $\mathrm{\Omega }(1672)$.] We also analyze decay branching fractions of the flavor-singlet baryon for various masses with the simplest effective Lagrangians.

• Received 29 September 2020
• Accepted 2 November 2020

DOI:https://doi.org/10.1103/PhysRevD.102.114032

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Published by the American Physical Society