Heavy-quark dominance and fine structure of excited heavy baryons $$\Sigma _{Q}$$, $$\Xi '_{Q}$$ and $$\Omega _{Q}$$

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 $$\Sigma _{Q}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Σ</mml:mi> <mml:mi>Q</mml:mi> </mml:msub> </mml:math> , $$\Xi '_{Q}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>Ξ</mml:mi> <mml:mi>Q</mml:mi> <mml:mo>′</mml:mo> </mml:msubsup> </mml:math> and $$\Omega _{Q}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Ω</mml:mi> <mml:mi>Q</mml:mi> </mml:msub> </mml:math> 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 1 P -wave states of the $$\Sigma _{c}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Σ</mml:mi> <mml:mi>c</mml:mi> </mml:msub> </mml:math> , $$\Xi '_{c}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>Ξ</mml:mi> <mml:mi>c</mml:mi> <mml:mo>′</mml:mo> </mml:msubsup> </mml:math> and $$\Omega _{c}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Ω</mml:mi> <mml:mi>c</mml:mi> </mml:msub> </mml:math> 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.

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Journal
The European Physical Journal C
Published
2024-12-22
DOI
https://doi.org/10.1140/epjc/s10052-024-13706-5
Citations
3
Primary Topic
Particle physics theoretical and experimental studies
Type
article
Field-Weighted Citation Impact
1.98

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article

Heavy-quark dominance and fine structure of excited heavy baryons $$\Sigma _{Q}$$, $$\Xi '_{Q}$$ and $$\Omega _{Q}$$

Guoliang Yu, Zhen-Yu Li, Zhi-Gang Wang, Jian-Zhong Gu
3 citations
The European Physical Journal C
Particle physics theoretical and experimental studies
1.98
article

Heavy-quark dominance and fine structure of excited heavy baryons $$\Sigma _{Q}$$, $$\Xi '_{Q}$$ and $$\Omega _{Q}$$

Guoliang Yu, Zhen-Yu Li, Zhi-Gang Wang, Jian-Zhong Gu
article en
3 citations

Abstract

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 $$\Sigma _{Q}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Σ</mml:mi> <mml:mi>Q</mml:mi> </mml:msub> </mml:math> , $$\Xi '_{Q}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>Ξ</mml:mi> <mml:mi>Q</mml:mi> <mml:mo>′</mml:mo> </mml:msubsup> </mml:math> and $$\Omega _{Q}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Ω</mml:mi> <mml:mi>Q</mml:mi> </mml:msub> </mml:math> 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 1 P -wave states of the $$\Sigma _{c}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Σ</mml:mi> <mml:mi>c</mml:mi> </mml:msub> </mml:math> , $$\Xi '_{c}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>Ξ</mml:mi> <mml:mi>c</mml:mi> <mml:mo>′</mml:mo> </mml:msubsup> </mml:math> and $$\Omega _{c}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Ω</mml:mi> <mml:mi>c</mml:mi> </mml:msub> </mml:math> 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.

The European Physical Journal CVol. 84(12)
North China Electric Power University (CN), Guangxi Normal University (CN), Guizhou Education University (CN), China Institute of Atomic Energy (CN)
National Natural Science Foundation of China, Sponsoring Consortium for Open Access Publishing in Particle Physics, Natural Science Foundation of Guizhou Province, Soochow University, Nuclear Physics
Affordable and clean energy
Openalex Percentile: Top 8%
Particle physics theoretical and experimental studies
1.98
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