Analysis of the ${\Lambda }_c(2625)$ and ${\Xi }_c(2815)$ with QCD sum rules

Abstract

In this article, we study the charmed baryon states ${\Lambda }_c(2625)$ and ${\Xi }_c(2815)$ with the spin-parity ${\frac{3}{2}}^{-}$ by subtracting the contributions from the corresponding charmed baryon states with the spin-parity ${\frac{3}{2}}^{+}$ using the QCD sum rules, and suggest a formula $\mu =\sqrt{M_{{\Lambda }_c/{\Xi }_c}^2-{\mathbb{M}}_c^2}$ with the effective mass ${\mathbb{M}}_c=1.8\mathrm{GeV}$ to determine the energy scales of the QCD spectral densities, and make reasonable predictions for the masses and pole residues. The numerical results indicate that the ${\Lambda }_c(2625)$ and ${\Xi }_c(2815)$ have at least two remarkable under-structures.

15 pages, 10 figures

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• Low-lying charmed and charmed-strange baryon states
• Analysis of the ${\Omega }_c(3000)$, ${\Omega }_c(3050)$, ${\Omega }_c(3066)$, ${\Omega }_c(3090)$ and ${\Omega }_c(3119)$ with QCD sum rules
• Analysis of the $X(5568)$ as scalar tetraquark state in the diquark-antidiquark model with QCD sum rules
• Systematic analysis of single heavy baryons ${\Lambda }_Q$, ${\Sigma }_Q$ and ${\Omega }_Q$
• Evidence of a structure in ${\bar{K}}^0{\Lambda }_c^{+}$ consistent with a charged ${\Xi }_c(2930{)}^{+}$, and updated measurement of ${\bar{B}}^0\to {\bar{K}}^0{\Lambda }_c^{+}{\bar{\Lambda }}_c^{-}$ at Belle
• Universal behavior of mass gaps existing in the single heavy baryon family
• Analysis of the ${\Lambda }_c(2860)$, ${\Lambda }_c(2880)$, ${\Xi }_c(3055)$ and ${\Xi }_c(3080)$ as D-wave baryon states with QCD sum rules
• Evidence of a new excited charmed baryon decaying to ${\Sigma }_c(2455{)}^{0,++}{\pi }^{\pm }$
• Systematic analysis of strange single heavy baryons ${\Xi }_c$ and ${\Xi }_b$
• Revisit assignments of the new excited ${\Omega }_c$ states with QCD sum rules
• Analysis of the D-wave $\Sigma$-type charmed baryon states with the QCD sum rules
• The $\Lambda$-type P-wave bottom baryon states via the QCD sum rules
• Baryons and baryoniums in the perspective of QCD sum rules
• Residues of ${\Lambda }_Q$-type and ${\Sigma }_Q$-type Baryons in the Bethe-Salpeter Equation Approach