Low-lying singly heavy baryon states based on the rigorous calculation with the relativized quark model

Abstract

In this work, the low-lying $\mathbf{6}_{F}$ singly heavy baryon states with positive-parity are studied in detail in the framework of the relativized quark model by using the improved calculation scheme which has successfully explained the fine structure of the low-lying negative-parity singly heavy baryons. The complete mass spectra of all the singly heavy baryon families obtained in the same framework and calculation scheme are systematically analyzed. The baryon states marked with (mass)$J^{P}$ are obtained by considering the mixing effect rigorously. It is found that the mixing effect in the singly heavy baryons depends on the flavor symmetry of the two light quarks and the baryon parity. The results show that the high-precision calculation can reproduce most of the data perfectly, and the statistical error between the calculated masses and the experimental data is only 6.96 MeV. This confirms the reliability of the improved calculation scheme. The rigorous calculation achieved by the two-step GEM enables us to analyze the detailed behavior of the various strong interaction components within the baryons with a high-precision and discover the truth of the ``soft QCD''. The large amount of data obtained in this work serves as the reliable references for related experimental and theoretical researches.