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arXiv · 2501.02859

Roles of the $N(1535)$ and $a_0(980)$ in the process $\Lambda_c^+ \to \pi^+\eta n$

Meng-Yuan Li·Wen-Tao Lyu·Li-Juan Liu·En Wang
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Abstract

We have investigated the process $\Lambda_c^+ \to \pi^+\eta n$ by taking into account the contributions from the nucleon resonance $N(1535)$ and the scalar meson $a_0(980)$, which could be dynamically generated by the interaction of the $S$-wave pseudosalar meson-octet baryon and the $S$-wave pseudosalar meson-pseudosalar meson, respectively. Our results show that, in $\eta n$ invariant mass distribution, there is a significant near-threshold enhancement structure, which could be associated with $N(1535)$. On the other hand, one can find a clear cusp structure of $a_0(980)$ in $\pi^+\eta$ invariant mass distribution. We further estimate the ratio $R$ = $\mathcal{B}(\Lambda_c^+ \to a_0(980)^+ n)/\mathcal{B}(\Lambda_c^+ \to \pi^+\eta n)\approx 0.313$. Our results can be tested by BESIII, Belle~II, and the proposed Super Tau-Charm Facility experiments in the future.

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Meng-Yuan Li, Wen-Tao Lyu, Li-Juan Liu, En Wang. 2025-01-06. Roles of the $N(1535)$ and $a_0(980)$ in the process $\Lambda_c^+ \to \pi^+\eta n$. https://doi.org/10.1103/physrevd.111.034046

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