Roles of the $N(1535)$ and $a_0(980)$ in the process $Λ_c^+ \to π^+ηn$
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909519418753024 |
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| author | Li, Meng-Yuan Lyu, Wen-Tao Liu, Li-Juan Wang, En |
| author_facet | Li, Meng-Yuan Lyu, Wen-Tao Liu, Li-Juan Wang, En |
| contents | We have investigated the process $Λ_c^+ \to π^+ηn$ 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 $ηn$ 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 $π^+η$ invariant mass distribution. We further estimate the ratio $R$ = $\mathcal{B}(Λ_c^+ \to a_0(980)^+ n)/\mathcal{B}(Λ_c^+ \to π^+ηn)\approx 0.313$. Our results can be tested by BESIII, Belle~II, and the proposed Super Tau-Charm Facility experiments in the future. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02859 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Roles of the $N(1535)$ and $a_0(980)$ in the process $Λ_c^+ \to π^+ηn$ Li, Meng-Yuan Lyu, Wen-Tao Liu, Li-Juan Wang, En High Energy Physics - Phenomenology We have investigated the process $Λ_c^+ \to π^+ηn$ 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 $ηn$ 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 $π^+η$ invariant mass distribution. We further estimate the ratio $R$ = $\mathcal{B}(Λ_c^+ \to a_0(980)^+ n)/\mathcal{B}(Λ_c^+ \to π^+ηn)\approx 0.313$. Our results can be tested by BESIII, Belle~II, and the proposed Super Tau-Charm Facility experiments in the future. |
| title | Roles of the $N(1535)$ and $a_0(980)$ in the process $Λ_c^+ \to π^+ηn$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2501.02859 |