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Doubly heavy spin-$\frac {3}{2} $ baryons spectrum in the ground and excited states

M. Shekari Tousi, K. Azizi

Abstract

This study employs QCD sum rules to predict the masses and residues of spin-$\frac {3}{2} $ doubly heavy baryons including two heavy quarks (c and/or b) and one light quark, specifically focusing on $ Ξ_{cc}^*$, $ Ξ_{bc}^*$, $ Ξ_{bb}^*$, $ Ω_{cc}^*$, $ Ω_{bc}^*$ and $ Ω_{bb}^*$. Our study provides results for the ground state ($1S$), first orbital excitation ($1P$), and the first radial excitation ($2S$), within a consistent theoretical framework. In addition to mass spectra, we provide residue calculations as well. The calculated residues are essential for estimating the decay widths and branching ratios of these baryons at different decay channels. Our analysis incorporates nonperturbative QCD effects through operators up to dimension ten, leading to improved precision in the mass and residue calculations. These predictions offer crucial guidance for ongoing and future experimental searches, particularly in light of the current lack of empirical data for the ground and excited states, and provide a basis for comparison with future experimental data.

Doubly heavy spin-$\frac {3}{2} $ baryons spectrum in the ground and excited states

Abstract

This study employs QCD sum rules to predict the masses and residues of spin- doubly heavy baryons including two heavy quarks (c and/or b) and one light quark, specifically focusing on , , , , and . Our study provides results for the ground state (), first orbital excitation (), and the first radial excitation (), within a consistent theoretical framework. In addition to mass spectra, we provide residue calculations as well. The calculated residues are essential for estimating the decay widths and branching ratios of these baryons at different decay channels. Our analysis incorporates nonperturbative QCD effects through operators up to dimension ten, leading to improved precision in the mass and residue calculations. These predictions offer crucial guidance for ongoing and future experimental searches, particularly in light of the current lack of empirical data for the ground and excited states, and provide a basis for comparison with future experimental data.

Paper Structure

This paper contains 6 sections, 33 equations, 4 figures, 8 tables.

Table of Contents

  1. Introduction
  2. QCD sum rules for the physical quantities of the doubly heavy baryons
  3. Physical side
  4. QCD side
  5. Numerical results and discussions
  6. conclusion

Figures (4)

  • Figure 1: PC for the $\Xi_{cc}^*$ as a function of the Borel mass parameter $M^2$ at various values of the parameter $s_0$.
  • Figure 2: Left: The $1S$ mass of $\mathrm{\Xi_{cc}^*}$ as a function of the Borel parameter $M^2$, shown for several fixed $s_0$ values. Right: The $1S$ mass of $\mathrm{\Xi_{cc}^*}$ as a function of the threshold parameter $s_0$, shown for several fixed $M^2$ values.
  • Figure 3: Left: The $1P$ mass of $\mathrm{\Xi_{cc}^*}$ as a function of the Borel parameter $M^2$, shown for several fixed $s_0$ values. Right: The $1P$ mass of $\mathrm{\Xi_{cc}^*}$ as a function of the threshold parameter $s_0$, shown for several fixed $M^2$ values.
  • Figure 4: Left: The $2S$ mass of $\mathrm{\Xi_{cc}^*}$ as a function of the Borel parameter $M^2$, shown for several fixed $s_0$ values. Right: The $2S$ mass of $\mathrm{\Xi_{cc}^*}$ as a function of the threshold parameter $s_0$, shown for several fixed $M^2$ values.