Analysis of the 1S and 2S states of the ${\Lambda }_Q$ and ${\Xi }_Q$ with the QCD sum rules

Abstract

In this article, we study the ground states and the first radial excited states of the flavor antitriplet heavy baryon states ${\Lambda }_Q$ and ${\Xi }_Q$ with the spin-parity $J^P={\frac{1}{2}}^{+}$ by carrying out the operator product expansion up to the vacuum condensates of dimension $10$ in a consistent way. We observe that the higher dimensional vacuum condensates play an important role, and obtain very stable QCD sum rules with variations of the Borel parameters for the heavy baryon states for the first time. The predicted masses $6.08\pm 0.09\mathrm{GeV}$, $2.78\pm 0.08\mathrm{GeV}$ and $2.96\pm 0.09\mathrm{GeV}$ for the first radial excited states ${\Lambda }_b(2S)$, ${\Lambda }_c(2S)$ and ${\Xi }_c(2S)$ respectively are in excellent agreement with the experimental data and support assigning the ${\Lambda }_b(6072)$, ${\Lambda }_c(2765)$ and ${\Xi }_c(2980/2970)$ to be the first radial excited states of the ${\Lambda }_b$, ${\Lambda }_c$ and ${\Xi }_c$, respectively, the predicted mass $6.24\pm 0.07\mathrm{GeV}$ for the ${\Xi }_b(2S)$ can be confronted to the experimental data in the future.

arXiv comment15 pages, 17 figures

References in corpus (40)

• Heavy Baryons in a Quark Model
• QCD at Low Energies
• Spectroscopy and Regge trajectories of heavy baryons in the relativistic quark-diquark picture
• Heavy baryons
• Observation of New States Decaying into ${\Lambda }_c^{+}{K}^{-}{\pi }^{+}$ and ${\Lambda }_c^{+}{K}_S^0{\pi }^{-}$
• Assignments of ${\Lambda }_Q$ and ${\Xi }_Q$ baryons in the heavy quark-light diquark picture
• The Quark Model and $b$ Baryons
• Negative-parity Nucleon Resonance in the QCD Sum Rule
• Observation of New States Decaying into ${\Lambda }_c^{+}{\pi }^{-}{\pi }^{+}$
• Analysis of the masses and decay constants of the heavy-light mesons with QCD sum rules
• A Study of Excited Charm-Strange Baryons with Evidence for new Baryons Ξ_c(3055)^+ and Ξ_c(3123)^+
• Analysis of the $1/2^{-}$ and $3/2^{-}$ heavy and doubly heavy baryon states with QCD sum rules
• On the nature of the newly discovered ${\Omega }_c^0$ states
• QCD sum rule calculation for P-wave bottom baryons
• Excited State Mass spectra and Regge trajectories of Bottom Baryons
• Odd parity bottom-flavored baryon resonances
• Analysis of the ${\frac{3}{2}}^{+}$ heavy and doubly heavy baryon states with QCD sum rules
• Analysis of the $Z(4430)$ as the first radial excitation of the $Z_c(3900)$
• Heavy baryon spectroscopy in QCD
• Spectroscopy of singly, doubly, and triply bottom baryons
• Analysis of the ${\Omega }_c(3000)$, ${\Omega }_c(3050)$, ${\Omega }_c(3066)$, ${\Omega }_c(3090)$ and ${\Omega }_c(3119)$ with QCD sum rules
• Heavy quark symmetry in multi-hadron systems
• Reanalysis of the heavy baryon states ${\Omega }_b$, ${\Omega }_c$, ${\Xi }_b^{\prime }$, ${\Xi }_c^{\prime }$, ${\Sigma }_b$ and ${\Sigma }_c$ with QCD sum rules
• SU(3) mass-splittings of heavy-baryons in QCD
• Analysis of the ${\frac{1}{2}}^{\pm }$ flavor antitriplet heavy baryon states with QCD sum rules
• Study of excited ${\Lambda }_{\mathrm{b}}^0$ states decaying to ${\Lambda }_{\mathrm{b}}^0{\pi }^{+}{\pi }^{-}$ in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Analysis of ${\Omega }_c^{\ast }(css)$ and ${\Omega }_b^{\ast }(bss)$ with QCD sum rules
• QCD sum rules study of Ξ_c and Ξ_b baryons
• Analysis of the light-flavor scalar and axial-vector diquark states with QCD sum rules
• $D$-wave heavy baryons of the $SU(3)$ flavor $6_F$
• Interpretation of the newly observed ${\Lambda }_b(6146{)}^0$ and ${\Lambda }_b(6152{)}^0$ states in a chiral quark model
• Canonical interpretation of the newly observed ${\Lambda }_b(6146{)}^0$ and ${\Lambda }_b(6152{)}^0$ via strong decay behaviors
• 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
• First Determination of the Spin and Parity of a Charmed-Strange Baryon, ${\Xi }_c(2970{)}^{+}$
• Axialvector tetraquark candidates for the $Z_c(3900)$, $Z_c(4020)$, $Z_c(4430)$, $Z_c(4600)$
• Roper-like resonances with various flavor contents and their two-pion emission decays
• The $\rho (1S,2S)$, $\psi (1S,2S)$, ${\rm Y}(1S,2S)$ and ${\psi }_t(1S,2S)$ mesons in a double pole QCD Sum Rule
• New ${\Lambda }_b(6072{)}^0$ state as a $2S$ bottom baryon
• The newly observed ${\Lambda }_b(6072{)}^0$ structure and its $\rho -$mode nonstrange partners
• Are the new excited ${\Omega }_c$ baryons negative parity states?

Cited by in corpus (11)

• Analysis of the $P_{cs}(4459)$ as the hidden-charm pentaquark state with QCD sum rules
• Identification of newly observed singly charmed baryons using relativistic flux tube model
• Strong decays of the low-lying bottom strange baryons
• Systematic analysis of strange single heavy baryons ${\Xi }_c$ and ${\Xi }_b$
• Spectra and decay properties of ${\Lambda }_b$ and ${\Sigma }_b$ baryons
• Heavy quark dominance in orbital excitation of singly and doubly heavy baryons
• The $\Lambda$-type P-wave bottom baryon states via the QCD sum rules
• The ground states and the first radially excited states of D-wave vector $\rho$ and $\varphi$ mesons
• Analysis of the strong vertices ${\Lambda }_c{D}^{(\ast )}{N}^{\ast }(1535)$ and ${\Lambda }_b{B}^{(\ast )}{N}^{\ast }(1535)$ in QCD sum rules
• Mass spectra of singly heavy baryons in the relativized quark model with heavy-quark dominance
• Electromagnetic probes revealing the inner structure of the ${\Lambda }_c(2940)$