Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.13503 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910564533403648 |
|---|---|
| author | Ding, Zuo-Ming Huang, Qi He, Jun |
| author_facet | Ding, Zuo-Ming Huang, Qi He, Jun |
| contents | This study investigates the nature of the $X_0(2900)$ and $χ_{c0}(3930)$ based on experimental results of the process $B^+$$\to$$D^+ D^- K^+$. We focus on the S-wave $D^{*-}K^{*+}$ and $D_s^+D_s^-$ molecular states, which can be related to the $X_0(2900)$ and $χ_{c0}(3930)$, respectively. Using effective Lagrangians, we construct the potential kernel of the $D^{*-}K^{*+}$$-$$D^{-}K^{+}$ and $D_s^+D_s^-$$-$$D^+D^-$ interactions with a one-boson-exchange model, and determine the scattering amplitudes and their poles through a quasipotential Bethe-Salpeter equation approach. By incorporating the potential kernel into the three-body decay process $B^+$$\to$$D^+ D^- K^+$, we evaluate the $D^-K^+$ and $D^+D^-$ invariant mass spectra, as well as the Dalitz plot, with Monte Carlo simulation. A satisfactory fit to the $D^-K^+$ and $D^+D^-$ invariant mass spectra is achieved after introducing additional Breit-Wigner resonances, the $X_1(2900)$, $ψ(3770)$, and $χ_{c2}(3930)$ states. Prominent signals of the $X_0(2900)$ and $χ_{c0}(3930)$ states appear as peaks in the $D^-K^+$ and $D^+D^-$ invariant mass spectra near 2900 and 3930 MeV, respectively. Clear event concentration of the $X_0(2900)$ and $χ_0(3930)$ states is evident as strips in the Dalitz plot. The results suggest that both $X_0(2900)$ and $χ_{c0}(3930)$ can be interpreted as molecular states, with the inclusion of $X_1(2900)$ and $χ_2(3930)$ necessary to describe structures in the regions near 2900 and 3930 MeV. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13503 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $X_0(2900)$ and $χ_{c0}(3930)$ in process $B^+\to D^+ D^- K^+$ Ding, Zuo-Ming Huang, Qi He, Jun High Energy Physics - Phenomenology This study investigates the nature of the $X_0(2900)$ and $χ_{c0}(3930)$ based on experimental results of the process $B^+$$\to$$D^+ D^- K^+$. We focus on the S-wave $D^{*-}K^{*+}$ and $D_s^+D_s^-$ molecular states, which can be related to the $X_0(2900)$ and $χ_{c0}(3930)$, respectively. Using effective Lagrangians, we construct the potential kernel of the $D^{*-}K^{*+}$$-$$D^{-}K^{+}$ and $D_s^+D_s^-$$-$$D^+D^-$ interactions with a one-boson-exchange model, and determine the scattering amplitudes and their poles through a quasipotential Bethe-Salpeter equation approach. By incorporating the potential kernel into the three-body decay process $B^+$$\to$$D^+ D^- K^+$, we evaluate the $D^-K^+$ and $D^+D^-$ invariant mass spectra, as well as the Dalitz plot, with Monte Carlo simulation. A satisfactory fit to the $D^-K^+$ and $D^+D^-$ invariant mass spectra is achieved after introducing additional Breit-Wigner resonances, the $X_1(2900)$, $ψ(3770)$, and $χ_{c2}(3930)$ states. Prominent signals of the $X_0(2900)$ and $χ_{c0}(3930)$ states appear as peaks in the $D^-K^+$ and $D^+D^-$ invariant mass spectra near 2900 and 3930 MeV, respectively. Clear event concentration of the $X_0(2900)$ and $χ_0(3930)$ states is evident as strips in the Dalitz plot. The results suggest that both $X_0(2900)$ and $χ_{c0}(3930)$ can be interpreted as molecular states, with the inclusion of $X_1(2900)$ and $χ_2(3930)$ necessary to describe structures in the regions near 2900 and 3930 MeV. |
| title | $X_0(2900)$ and $χ_{c0}(3930)$ in process $B^+\to D^+ D^- K^+$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2407.13503 |