Roles of $a_0(980)$ and $a_0(1710)$ in Cabibbo-suppressed process $D^+\to π^0π^+η$
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| Format: | Preprint |
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2025
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| _version_ | 1866918156947161088 |
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| author | Zhang, Xiao-Hui Zhu, Jing-Yu Liu, Li-Juan Wang, En |
| author_facet | Zhang, Xiao-Hui Zhu, Jing-Yu Liu, Li-Juan Wang, En |
| contents | Motivated by the BESIII amplitude analysis of the single Cabibbo-suppressed process $D^+\to π^0π^+η$, we investigate this reaction by taking into account the contributions from the $a_0(980)$, $ρ$, and $a_0(1710)$, where the scalar meson $a_0(980)$ could be dynamically generated from the $S$-wave pseudoscalar meson-pseudoscalar meson interaction within the chiral unitary approach. Our theoretical predictions for the $π^0η$, $π^+η$, and $π^+π^0$ invariant mass distributions are in agreement with the BESIII measurements, especially the clear peaks around 1~GeV in the $π^0η$ and $π^+η$ invariant mass distributions could be associated with the dynamically generated state $a_0(980)$. Furthermore, we demonstrate that the intermediate $a_0(1710)$ is also necessary to describe the enhancement structure around $1.6\sim 1.7$~GeV in the $π^{0/+}η$ invariant mass distribution. More precise experimental measurements of this process could provide deeper insights into the nature of the scalar mesons $a_0(980)$ and $a_0(1710)$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_03493 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Roles of $a_0(980)$ and $a_0(1710)$ in Cabibbo-suppressed process $D^+\to π^0π^+η$ Zhang, Xiao-Hui Zhu, Jing-Yu Liu, Li-Juan Wang, En High Energy Physics - Phenomenology Motivated by the BESIII amplitude analysis of the single Cabibbo-suppressed process $D^+\to π^0π^+η$, we investigate this reaction by taking into account the contributions from the $a_0(980)$, $ρ$, and $a_0(1710)$, where the scalar meson $a_0(980)$ could be dynamically generated from the $S$-wave pseudoscalar meson-pseudoscalar meson interaction within the chiral unitary approach. Our theoretical predictions for the $π^0η$, $π^+η$, and $π^+π^0$ invariant mass distributions are in agreement with the BESIII measurements, especially the clear peaks around 1~GeV in the $π^0η$ and $π^+η$ invariant mass distributions could be associated with the dynamically generated state $a_0(980)$. Furthermore, we demonstrate that the intermediate $a_0(1710)$ is also necessary to describe the enhancement structure around $1.6\sim 1.7$~GeV in the $π^{0/+}η$ invariant mass distribution. More precise experimental measurements of this process could provide deeper insights into the nature of the scalar mesons $a_0(980)$ and $a_0(1710)$. |
| title | Roles of $a_0(980)$ and $a_0(1710)$ in Cabibbo-suppressed process $D^+\to π^0π^+η$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2508.03493 |