Study ${\Xi }_c^{+}\to \Lambda {\bar{K}}^0{\pi }^{+}$ and search for the low-lying baryons $\Xi (1/2^{-})$ and $\Sigma (1/2^{-})$

Abstract

Since searches for the low-lying excited baryons $\Xi (1/2^{-})$ and $\Sigma (1/2^{-})$ are crucial to deepening our understanding of the light baryon spectrum, we have investigated the Cabibbo-favored process ${\Xi }_c^{+}\to \Lambda {\bar{K}}^0{\pi }^{+}$ by taking into account the $S$-wave pseudoscalar meson-octet baryon interactions within the chiral unitary approach, which could dynamically generate the resonances $\Xi (1/2^{-})$ and $\Sigma (1/2^{-})$. The contributions from the excited kaons are double Cabibbo-suppressed, and the contribution from the $\Sigma (1385)$ is also suppressed due to Korner-Pati-Woo theory, thus those states are expected to play negligible contributions in this process. We have predicted the ${\bar{K}}^0\Lambda$ and ${\pi }^{+}\Lambda$ invariant mass distributions, which have the clear signals of the $\Xi (1/2^{-})$ and $\Sigma (1/2^{-})$. Thus, the ${\Xi }_c^{+}\to \Lambda {\bar{K}}^0{\pi }^{+}$ is an ideal process to search for the low-lying baryons $\Xi (1/2^{-})$ and $\Sigma (1/2^{-})$, and we make a call for a precise measurements of this process in experiments, such as Belle II, LHCb, and the proposed Super Tau-Charm Facility (STCF).

8 pages, 9 figures

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• Photo-production of lowest ${\Sigma }_{1/2^{-}}^{\ast }$ state within the Regge-effective Lagrangian approach
• Measurement of the branching fractions of the decays ${\Lambda }_c^{+}\to \Lambda K_S^0{K}^{+}$, ${\Lambda }_c^{+}\to \Lambda K_S^0{\pi }^{+}$ and ${\Lambda }_c^{+}\to \Lambda K^{\ast +}$

Cited by in corpus (8)

• The odd-parity strange baryons $\Sigma ({\frac{1}{2}}^{-})$ below 1.8 GeV with Hamiltonian effective field theory
• Analysis of ${\Sigma }^{\ast }$ via isospin selective reaction $K_{L}p\to {\pi }^{+}{\Sigma }^0$
• The dynamically generated $N(1535)$ state in the ${\Lambda }_c^{+}\to p{\bar{K}}^0{\pi }^0$ decay
• Role of $\Xi (1690)$ in the $J/\psi \to {\Xi }^0\bar{\Lambda }{K}^0$ reaction
• Search for the low-lying excited baryon ${\Sigma }^{\ast }(1/2^{-})$ through process ${\Lambda }_c^{+}\to \Lambda K^0{\pi }^{+}$
• Monte Carlo Simulation-Based Partial Wave Analysis of ${\Xi }_c^{+}\to {\Xi }^{-}{\pi }^{+}{\pi }^{+}$ Decay
• Probing the isospin structure and low-lying resonances in ${\Lambda }_c^{+}\to n{\bar{K}}^0{\pi }^{+}$ decays
• Roles of $a_0(980)$ and $a_0(1710)$ in Cabibbo-suppressed process $D^{+}\to {\pi }^0{\pi }^{+}\eta$