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Heavy-quark dominance and fine structure of excited heavy baryons $\Sigma_{Q}$, $\Xi '_{Q}$ and $\Omega_{Q}$
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abstract
In the framework of the relativized quark model, the calculation of spin-orbit interactions is improved by considering the contribution from the light quark cluster in a singly heavy baryon. It modifies the energy level splitting of the orbital excitation significantly and causes the emergence of fine structures for $\Sigma_{Q}$, $\Xi '_{Q}$ and $\Omega_{Q}$ baryons. Based on this improvement, we systematically analyze the fine structures and retest the heavy quark dominance mechanism. This mechanism is found to be violated in the $1P$-wave states of the $\Sigma_{c}$, $\Xi '_{c}$ and $\Omega_{c}$ baryons although it remains effective overall, which may help to understand the nature of the heavy quarks and strong interactions. With the predicted fine structures, we make the precise assignments of those observed heavy baryons which once could not be accurately explained due to their close mass values. The method used in this work is instructive and applicable for the study of more complex exotic hadrons, such as the heavy tetraquarks and pentaquarks.
Forward citations
Cited by 3 Pith papers
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Quantum numbers of excited $\Xi_c^\prime$ and $\Omega_c$ baryons and the $P$-wave $\Sigma_c$ spectrum
The excited Ξ_c and Ω_c baryons share successive J^P = 1/2^-, 3/2^-, 3/2^-, 5/2^- λ-mode assignments, with Ω_c(3119) as a ρ-mode 3/2^- state and four P-wave Σ_c states predicted inside existing structures.
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Low-lying singly heavy baryon states based on the rigorous calculation with the relativized quark model
A quark-model calculation with rigorous orbital mixing reproduces 74 singly heavy baryon masses with an average deviation of 6.96 MeV.
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Analysis of the semileptonic decays $\Sigma_b\to\Sigma_cl\bar{\nu}_l$, $\Xi'_b\to\Xi'_cl\bar{\nu}_l$ and $\Omega_b\to\Omega_cl\bar{\nu}_l$ in QCD sum rules
QCD sum-rule calculations predict Σ_b→Σ_c, Ξ'_b→Ξ'_c and Ω_b→Ω_c semileptonic widths that differ by less than 13%, supporting approximate SU(3) flavor symmetry.
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