Evidence of the low-lying baryon ${\Sigma }^{\ast }(1/2^{-})$ in the process ${\Lambda }_c^{+}\to \eta {\pi }^{+}\Lambda$

Abstract

Motivated by the Belle measurements of the process ${\Lambda }_c^{+}\to \eta {\pi }^{+}\Lambda$, we investigate this process by considering the contributions from the $\Lambda (1670)$, $a_0(980)$, and $\Sigma (1385)$. In addition, we also consider the predicted low-lying baryon ${\Sigma }^{\ast }(1/2^{-})$. Our results involving the ${\Sigma }^{\ast }(1/2^{-})$ are favored by fitting to the Belle data of the $\eta \Lambda$ and ${\pi }^{+}\Lambda$ invariant mass distributions. Furthermore, we predict the $\eta {\pi }^{+}$ invariant mass distribution and the angular distribution $d\Gamma /d\cos \theta$, which are significantly different depending on whether or not the contribution from the ${\Sigma }^{\ast }(1/2^{-})$ is considered. Finally, we show that, with the contribution from the ${\Sigma }^{\ast }(1/2^{-})$, the calculated Dalizt plot agrees with the Belle measurements. Future precise measurements of the process ${\Lambda }_c^{+}\to \eta {\pi }^{+}\Lambda$ could shed further light on the existence of the low-lying ${\Sigma }^{\ast }(1/2^{-})$.

11 pages, 14 figures, comments are welcome

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Cited by in corpus (19)

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• Theoretical study of $N(1535)$ and ${\Sigma }^{\ast }(1/2^{-})$ in the Cabibbo-favored process ${\Lambda }_c^{+}\to p{\bar{K}}^0\eta$
• 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 $\Sigma (1/2^{-})$
• Roles of the $N(1535)$ and $a_0(980)$ in the process ${\Lambda }_c^{+}\to {\pi }^{+}\eta n$
• Pion photoproduction of nucleon excited states with Hamiltonian effective field theory
• Roles of the scalar $f_0(500)$ and $f_0(980)$ in the process $D^0\to {\pi }^0{\pi }^0{\bar{K}}^0$
• Theoretical study of the open-flavor tetraquark $T_{c\bar{s}}(2900)$ in the process ${\bar{B}}_s^0\to K^0{D}^0{\pi }^0$
• 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
• The odd-parity strange baryons $\Sigma ({\frac{1}{2}}^{-})$ below 1.8 GeV with Hamiltonian effective field theory
• Hadronic decay $D^{+}\to {\pi }^{+}\eta \eta$ and the $a_0(980)$ and $f_0(1370)$ contributions
• 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 ${\Lambda }_c^{+}\to \Lambda K^0{\pi }^{+}$
• The $B^{-}\to J/\psi {\eta }^{\prime }{K}^{-}$ reaction and the $Y(4710)$ and $K_0^{\ast }(1430)$ contributions
• Low-energy $N\varphi$ scattering from a pole-enhanced triangle diagram
• Probing the isospin structure and low-lying resonances in ${\Lambda }_c^{+}\to n{\bar{K}}^0{\pi }^{+}$ decays
• Finding a clean process $B^{-}\to K^{-}{D}^0{K}^0$ to probe absolutely exotic four-quark states
• Roles of $a_0(980)$ and $a_0(1710)$ in Cabibbo-suppressed process $D^{+}\to {\pi }^0{\pi }^{+}\eta$