Abstract
We investigate the mass spectra of the lowest-lying singly heavy baryons, based on the self-consistent chiral quark-soliton model. We take into account the rotational $1/N_c$ and strange current quark mass ($m_{\mathrm{s}}$) corrections. Regarding $m_{\mathrm{s}}$ as a small perturbation, we expand the effective chiral action to the second order with respect to $m_{s}$. The mass spectra of heavy baryons are computed and compared with the experimental data. Fitting the classical masses of the heavy baryon to the center mass of each representation, we determine the masses of all the lowest-lying singly heavy baryons. We predict the mass of the $\Omega_b^*$ baryon to be 6081.9 MeV, when the second-order $m_{\mathrm{s}}$ corrections are included.
Highlights
Interest in heavy baryons is renewed as a series of new experimental data on them was reported [1,2,3,4,5,6,7,8,9,10]
We investigate the mass spectra of singly heavy baryons in the ground states within the framework of the χQSM
Since a singly heavy baryon contains number of colors (Nc) − 1 light valence quarks, the imposed constraint Y0 should be modified as Y 1⁄4 ðNc − 1Þ=3
Summary
Interest in heavy baryons is renewed as a series of new experimental data on them was reported [1,2,3,4,5,6,7,8,9,10]. The collective quantization of the chiral soliton yields the collective Hamiltonian with effects of flavor SUð3Þf symmetry breaking This mean-field approach is called the χQSM [31,32,33]. Since a singly heavy baryon contains Nc − 1 light valence quarks, the imposed constraint Y0 should be modified as Y 1⁄4 ðNc − 1Þ=3 This allows the lowest-lying representations: the baryon antitriplet (3 ̄) and the baryon sextet (6). The second-order corrections in the present work imply only the contributions arising from the second-order perturbation theory Bearing this warning in mind, we will examine the masses of both the singly charmed and bottom baryons. In the Appendices, we have compiled all necessary formulas explicitly
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