Search for the low-lying excited baryon $\hat{I}{\pounds }^{\ast }(1/2^{-})$ through process $\hat{I}{›}_c^{+}\to \hat{I}›K^0\ddot{I}{€}^{+}$

Abstract

Motivated by recent BESIII measurements of the singly Cabibbo-suppressed processes $\hat{I}{›}_c^{+}\to \hat{I}›K^{+}\ddot{I}{€}^0$ and $\hat{I}{›}_c^{+}\to \hat{I}›K_S^0\ddot{I}{€}^{+}$, we investigate the process $\hat{I}{›}_c^{+}\to \hat{I}›K^0\ddot{I}{€}^{+}$ by taking into account the contribution from the low-lying excited baryon $\hat{I}{\pounds }^{\ast }(1/2^{-})$, dynamically generated via the $S$-wave pseudoscalar meson-octet baryon interaction, as well as from the intermediate resonances $K^{\ast }(892)$ and $N(1535)$. Our model successfully reproduces the BESIII $\ddot{I}{€}^{+}{K}^0$ invariant mass distribution, and predicts a distinct cusp structure around 1.43~GeV in the $\ddot{I}{€}^{+}\hat{I}›$ invariant mass distribution, which is associated with the predicted $\hat{I}{\pounds }^{\ast }(1/2^{-})$. Future high-precise measurements of this process at BESIII, Belle~II, and the proposed Super Tau-Charm Facility experiments will be crucial for testing the existence of $\hat{I}{\pounds }^{\ast }(1/2^{-})$ and advancing our understanding of the light baryon spectrum.

9 pages, 6 figures

References in corpus (1)

• The dynamically generated $N(1535)$ state in the $\hat{I}{›}_c^{+}\to p{\bar{K}}^0\ddot{I}{€}^0$ decay

Cited by in corpus (1)

• Probing the isospin structure and low-lying resonances in $\hat{I}{›}_c^{+}\to n{\bar{K}}^0\ddot{I}{€}^{+}$ decays