Strong Decays of observed ${\Lambda }_c$ Baryons in the ${}^3{P}_0$ Model

Abstract

The strong decay widths and some important branching ratios of possible Okubo-Zweig-Iizuka(OZI)-allowed strong decay channels of ${\Lambda }_c(2595{)}^{+}$, ${\Lambda }_c(2625{)}^{+}$, ${\Lambda }_c(2765{)}^{+}$ (${\Sigma }_c(2765{)}^{+}$), ${\Lambda }_c(2860{)}^{+}$, ${\Lambda }_c(2880{)}^{+}$ and ${\Lambda }_c(2940{)}^{+}$ are computed in a ${}^3{P}_0$ model, and possible assignments of these ${\Lambda }_c$ are given. (1), ${\Lambda }_c(2595{)}^{+}$ and ${\Lambda }_c(2625{)}^{+}$ are possibly the $1P$-wave charmed baryons ${\Lambda }_{c1}({\frac{1}{2}}^{-})$ and ${\Lambda }_{c1}({\frac{3}{2}}^{-})$, respectively. (2), ${\Lambda }_c(2765{)}^{+}$ (${\Sigma }_c(2765{)}^{+}$) seems impossibly the $1P$-wave ${\Lambda }_c$, it could be the $2S$-wave or $1D$-wave charmed baryon. So far, the experimental information has not been sufficient for its identification. (3), ${\Lambda }_c(2860{)}^{+}$ seems impossibly $2S$-wave charmed baryon, it may be the $P$-wave ${\tilde{\Lambda }}_{c2}^{}({\frac{3}{2}}^{-})$ or ${\tilde{\Lambda }}_{c2}^{}({\frac{5}{2}}^{-})$, it could also be the $D$-wave ${\check{\Lambda }}_{c1}^2({\frac{1}{2}}^{+})$ or ${\check{\Lambda }}_{c1}^2({\frac{3}{2}}^{+})$. If the hypothesis that ${\Lambda }_c(2860{)}^{+}$ has $J^P={\frac{3}{2}}^{+}$ is true, ${\Lambda }_c(2860{)}^{+}$ is possibly the $D$-wave ${\check{\Lambda }}_{c1}^2({\frac{3}{2}}^{+})$ which has a predicted branching ratio $R=\Gamma ({\Sigma }_c(2520)\pi )/\Gamma ({\Sigma }_c(2455)\pi )=2.8$. (4), ${\Lambda }_c(2880{)}^{+}$ is impossibly a $1P$-wave or $2S$-wave charmed baryon, it may be a $D$-wave ${\check{\Lambda }}_{c3}^2({\frac{5}{2}}^{+})$ with ${\Gamma }_{total}=1.3$ MeV. The predicted branching ratio $R=\Gamma ({\Sigma }_c(2520)\pi )/\Gamma ({\Sigma }_c(2455)\pi )=0.35$, which is consistent with experiment. (5), ${\Lambda }_c(2940{)}^{+}$ is the $P$-wave ${\tilde{\Lambda }}_{c2}^{}({\frac{3}{2}}^{-})$ or ${\tilde{\Lambda }}_{c2}^{}({\frac{5}{2}}^{-})$, it is also possibly the $D$-wave ${\check{\Lambda }}_{c3}^2({\frac{5}{2}}^{+})$ or ${\check{\Lambda }}_{c3}^2({\frac{7}{2}}^{+})$.

13 pages, 2 figures, 17 tables, RevTex

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Cited by in corpus (17)

• An updated review of the new hadron states
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Strong decays of the higher excited ${\Lambda }_Q$ and ${\Sigma }_Q$ baryons
• Relativistic corrections to decays of heavy baryons in the quark model
• Strong decay widths and mass spectra of charmed baryons
• The newly observed ${\Omega }_c(3327)$: A good candidate for a $D$-wave charmed baryon
• Systematic analysis of strange single heavy baryons ${\Xi }_c$ and ${\Xi }_b$
• Investigating the spectroscopy behavior of undetected $1F$-wave charmed baryons
• ${\Lambda }_c(2910)$ and ${\Lambda }_c(2940)$ as the conventional baryons dressed with the $D^{\ast }N$ channel
• Strong decay properties of single heavy baryons ${\Lambda }_Q$, ${\Sigma }_Q$ and ${\Omega }_Q$
• The newly observed ${\Lambda }_b(6072{)}^0$ structure and its $\rho -$mode nonstrange partners
• New ${\Lambda }_b(6072{)}^0$ state as a $2S$ bottom baryon
• The $1D$, $2D$ ${\Xi }_b$ and ${\Lambda }_b$ baryons
• Investigating the transition form factors of ${\Lambda }_b\to {\Lambda }_c(2625)$ and ${\Xi }_b\to {\Xi }_c(2815)$ and the corresponding weak decays with support from baryon spectroscopy
• Measurement of the mass and width of the ${\Lambda }_c(2625{)}^{+}$ and the branching ratios of ${\Lambda }_c(2625{)}^{+}\to {\Sigma }_c^0{\pi }^{+}$ and ${\Lambda }_c(2625{)}^{+}\to {\Sigma }_c^{++}{\pi }^{-}$
• Production of charmed baryon ${\Lambda }_c(2860)$ via low energy antiproton-proton interaction
• Unveiling the Composition of the Single-Charm Molecular Pentaquarks: Insights from Radiative Decay and Magnetic Moment