${\chi }_{c0}(1P)$ decay into $\bar{\Sigma }\Sigma \pi$ in search of an $I=1$, $1/2^{-}$ baryon state around $\bar{K}N$ threshold

Abstract

We present the theoretical study of the process ${\chi }_{c0}(1P)\to \bar{\Sigma }\Sigma \pi$ decay, by taking into account the $\pi \Sigma$ and $\pi \bar{\Sigma }$ final state interactions of the final meson-baryon pair based on the chiral unitary approach. We show that the process filters the isospin $I=1$ in the $\pi \Sigma$ channel and offers a reaction to test the existence of an $I=1$ state with strangeness $S=-1$ and spin-parity $J^p=1/2^{-}$ around the $\bar{K}N$ threshold predicted by some theories and supported by some experiments.

8 pages, 8 figures, 1 table, the version for PLB

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Cited by in corpus (16)

• Cross-channel constraints on resonant antikaon-nucleon scattering
• ${\Sigma }_{1/2^{-}}^{\ast }(1380)$ in the ${\Lambda }_c^{+}\to \eta {\pi }^{+}\Lambda$ decay
• Hyperon resonances coupled to pseudoscalar- and vector-baryon channels
• 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
• $\Lambda (1405)$ production in the process ${\chi }_{c0}(1P)\to \bar{\Lambda }\Sigma \pi$
• New insights into the pole parameters of the $\Lambda (1380)$, the $\Lambda (1405)$ and the $\Sigma (1385)$
• Study ${\Xi }_c^{+}\to \Lambda {\bar{K}}^0{\pi }^{+}$ and search for the low-lying baryons $\Xi (1/2^{-})$ and $\Sigma (1/2^{-})$
• Observation of ${\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+}$ and Evidence for $\Sigma (1380{)}^{+}$ in ${\Lambda }_c^{+}\to \Lambda {\pi }^{+}\eta$
• 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
• Search for the low-lying excited baryon ${\Sigma }^{\ast }(1/2^{-})$ through process ${\Lambda }_c^{+}\to \Lambda K^0{\pi }^{+}$