Roles of $f_{0}(500)$ and $f_{0}(980)$ in the $D_{(s)}^{+}\rightarrowπ^{+}π^{+}π^{-}$ decays
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913587695452160 |
|---|---|
| author | Wang, Zhong-Yu Liang, Wei |
| author_facet | Wang, Zhong-Yu Liang, Wei |
| contents | With the recent measurements of the $D_{s}^{+}\rightarrow π^{+}π^{+}π^{-}$ and $D^{+}\rightarrow π^{+}π^{+}π^{-}$ decays by the LHCb Collaboration, we study these two decay processes by considering the final state interaction formalism. Taking into account the external and internal $W$-emission dominant mechanisms at the quark level, our model can naturally explain why the $D_{s}^{+}$ decay only has a contribution from the $f_{0}(980)$ resonance, while the $D^{+}$ decay has contributions from both the $f_{0}(500)$ and $f_{0}(980)$ states. The magnitudes and phases of $π^{+}π^{-}$ for $S$-wave amplitudes in our model are in agreement with the experimental measurements. These results support the interpretations of $f_{0}(500)$ and $f_{0}(980)$ as the $ππ$ and $K\bar{K}$ resonances, respectively, where they are dynamically generated from the $S$-wave pseudoscalar-pseudoscalar meson interactions within the chiral unitary approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18134 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Roles of $f_{0}(500)$ and $f_{0}(980)$ in the $D_{(s)}^{+}\rightarrowπ^{+}π^{+}π^{-}$ decays Wang, Zhong-Yu Liang, Wei High Energy Physics - Phenomenology With the recent measurements of the $D_{s}^{+}\rightarrow π^{+}π^{+}π^{-}$ and $D^{+}\rightarrow π^{+}π^{+}π^{-}$ decays by the LHCb Collaboration, we study these two decay processes by considering the final state interaction formalism. Taking into account the external and internal $W$-emission dominant mechanisms at the quark level, our model can naturally explain why the $D_{s}^{+}$ decay only has a contribution from the $f_{0}(980)$ resonance, while the $D^{+}$ decay has contributions from both the $f_{0}(500)$ and $f_{0}(980)$ states. The magnitudes and phases of $π^{+}π^{-}$ for $S$-wave amplitudes in our model are in agreement with the experimental measurements. These results support the interpretations of $f_{0}(500)$ and $f_{0}(980)$ as the $ππ$ and $K\bar{K}$ resonances, respectively, where they are dynamically generated from the $S$-wave pseudoscalar-pseudoscalar meson interactions within the chiral unitary approach. |
| title | Roles of $f_{0}(500)$ and $f_{0}(980)$ in the $D_{(s)}^{+}\rightarrowπ^{+}π^{+}π^{-}$ decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2411.18134 |