$\Lambda (1405)$ production in the process ${\chi }_{c0}(1P)\to \bar{\Lambda }\Sigma \pi$

Abstract

We have performed a theoretical study on the process ${\chi }_{c0}(1P)\to \bar{\Lambda }\Sigma \pi$, by taking into account the final state interactions of $\pi \Sigma$ and $\pi \bar{\Lambda }$ based on the chiral unitary approach. As the isospin filters of $I=0$ in the $\pi \Sigma$ channel and $I=1$ in the $\pi \bar{\Lambda }$ channel, this process can be used to study the molecular structure of the $\Lambda (1405)$ resonance, and to test the existence of the predicted states $\Sigma (1380)$ and $\Sigma (1430)$ with spin-parity $J^P=1/2^{-}$. Our results show that there is a peak around $1350\sim 1400$~MeV, and a cusp around the $\bar{K}N$ threshold in the $\pi \Sigma$ invariant mass distribution, which should be the important feature of the molecular state $\Lambda (1405)$. We also find a peak around $1380$~MeV, and a cusp around $\bar{K}N$ threshold in the $\pi \bar{\Lambda }$ invariant mass distribution, which are associated to the $\Sigma (1380)$ and $\Sigma (1430)$ resonances.

7 pages, 13 figures, the version for PRD

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Cited by in corpus (13)

• QCD and the Strange Baryon Spectrum
• Visible narrow cusp structure in ${\Lambda }_c^{+}\to p{K}^{-}{\pi }^{+}$ enhanced by triangle singularity
• Review of the low-lying excited baryons ${\Sigma }^{\ast }(1/2^{-})$
• Evidence of the low-lying baryon ${\Sigma }^{\ast }(1/2^{-})$ in the process ${\Lambda }_c^{+}\to \eta {\pi }^{+}\Lambda$
• Roles of $a_0(980)$, $\Lambda (1670)$, and $\Sigma (1385)$ in the ${\Lambda }_c^{+}\to \eta \Lambda {\pi }^{+}$ decay
• Theoretical study of $N(1535)$ and ${\Sigma }^{\ast }(1/2^{-})$ in the Cabibbo-favored process ${\Lambda }_c^{+}\to p{\bar{K}}^0\eta$
• Search for the ${\Sigma }^{\ast }$ state in ${\Lambda }_c^{+}\to {\pi }^{+}{\pi }^0{\pi }^{-}{\Sigma }^{+}$ decay by triangle singularity
• Observation of ${\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+}$ and Evidence for $\Sigma (1380{)}^{+}$ in ${\Lambda }_c^{+}\to \Lambda {\pi }^{+}\eta$
• Study ${\Xi }_c^{+}\to \Lambda {\bar{K}}^0{\pi }^{+}$ and search for the low-lying baryons $\Xi (1/2^{-})$ and $\Sigma (1/2^{-})$
• Photo-production of lowest ${\Sigma }_{1/2^{-}}^{\ast }$ state within the Regge-effective Lagrangian approach
• Enhancement near the $\bar{p}\Lambda$ threshold in the ${\chi }_{c0}\to \bar{p}{K}^{+}\Lambda$ reaction
• Role of ${\Sigma }^{\ast }(1/2^{-})$ baryons in ${\Lambda }_c\to \Lambda {\pi }^{+}{\pi }^{+}{\pi }^{-}$ decay
• Search for the low-lying excited baryon ${\Sigma }^{\ast }(1/2^{-})$ through process ${\Lambda }_c^{+}\to \Lambda K^0{\pi }^{+}$