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Interpretation of recently discovered single bottom baryons in the relativistic flux tube model

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arxiv 2407.01655 v1 pith:QPKEE4PH submitted 2024-07-01 hep-ph

classification hep-ph
keywords statebaryonbaryonsbottommasssigmaspectracalculate
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Following recent experimental progress in the study of bottom baryons, we systematically calculate the mass spectra of $\Lambda_{b}$, $\Xi_{b}$, $\Sigma_{b}$, $\Xi_{b}^{'}$, and $\Omega_{b}$ baryons with a quark-diquark picture in the framework of a relativistic flux tube model with spin-dependent interactions in the j-j coupling scheme. Furthermore, we calculate the strong decay width of bottom baryons decaying into a bottom baryon and a light pseudoscalar meson. A good agreement is found between the calculated masses and the experimentally available masses of singly bottom baryons. %We interpret $\Sigma_{b}(6097)$ as a $1P(3/2^{-})$ state, $\Xi_{b}(6100)$ as $1P(1/2^{-})$ state of $\Xi_{b}$ baryon, $\Xi_{b}(6227)$ as a $1P(1/2^{-})$ or $1P(3/2^{-})$ state of $\Xi_{b}'$ baryon, $\Xi_{b}(6327)$ as a $1P(3/2^{-})$ state of $\Xi_{b}'$ baryon, and $\Xi_{b}(6333)$ as a $1P(3/2^{-})$ state of $\Xi_{b}'$ baryon. By analysing both mass spectra and strong decay widths, we interpret $\Sigma_{b}(6097)$ as a $1P(3/2^{-})$ state and $\Xi_{b}(6100)$ as a $1P(1/2^{-})$ state of $\Xi_{b}$ baryon. The $\Xi_{b}(6227)$ is identified to be an orbital excitation $1P$ of the $\Xi_{b}^{'}$ baryon with $J^{P}=3/2^{-}$. Further, we determine $\Xi_{b}(6327)$ and $\Xi_{b}(6333)$ as a $1P(3/2^{-})$ state and $1P(5/2^{-})$ state, respectively, of $\Xi_{b}^{'}$ baryon. From the obtained mass spectra, we construct the Regge trajectories in the $(J,M^{2})$ plane, which are found to be essentially linear, parallel, and equidistant. Our predictions for higher orbital and radial excited states can help experimentalists identify missing excited states of singly bottom baryons.

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  1. Chiral effective theory of scalar and vector diquarks revisited

    hep-ph 2024-11 conditional novelty 5.0 of 10

    A new term in the chiral diquark Lagrangian is shown to control the mass ordering of pseudoscalar diquarks and to set the threshold at which heavy-baryon decays turn off under chiral restoration.

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