$Λ_{c}(2910)$ and $Λ_{c}(2940)$ productions in $π^{-} p$ scattering process
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| Formato: | Preprint |
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2025
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| _version_ | 1866915291224604672 |
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| author | Guo, Quan-Yun Chen, Dian-Yong |
| author_facet | Guo, Quan-Yun Chen, Dian-Yong |
| contents | In the present work, we propose to investigate the productions of $Λ_{c}(2910)$ and $Λ_{c}(2940)$ in the $π^{-} p \rightarrow D^{-} D^{0} p$ processes by utilizing an effective Lagrangian approach, where $Λ_c(2910)$ and $Λ_c(2940)$ are considered as $D^\ast N$ molecular states with $J^P$ quantum numbers to be $1/2^-$ and $3/2^-$, respectively. With the cutoff parameter determined by the upper limit of the cross sections for $π^- p \to D^{\ast-} Λ_c(2286)$, the ratios of the cross sections for $π^- p \to D^{\ast-} Λ_c(2286)$, $π^- p \to D^{-} Λ_c(2286)$, $π^- p \to D^{-} Λ_c(2910)$, and $π^- p \to D^{-} Λ_c(2940)$ are estimated to be $1:4.8:1.42:0.26$ at $p_π=30$ GeV. Considering that the $Λ_{c}(2910)$ and $Λ_{c}(2940)$ state can further decay into $D^{0}p$, we estimate the cross sections for $π^{-} p \rightarrow D^{-} D^{0} p$ process and the differential cross sections depending on the $D^0 p$ invariant mass spectrum. Our estimations indicate that the total cross sections are $(0.49^{+1.56}_{-0.38})$ nb when $p_π=15~\mathrm{GeV}$, where the uncertainties result from the variation of the $Λ_{r}$. By comparing the contributions of the $s$, $u$, and $t$-channels, we conclude that the $t$-channel plays the predominant role. Moreover, the present estimations suggest that the structure around 2.9 GeV in the $D^0 p$ invariant mass spectrum of the $π^{-} p \rightarrow D^{-} D^{0} p$ process should correspond to $Λ_c(2910)$ rather than $Λ_c(2940)$, which can be tested by further experimental measurements at J-PARC in the future. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03277 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $Λ_{c}(2910)$ and $Λ_{c}(2940)$ productions in $π^{-} p$ scattering process Guo, Quan-Yun Chen, Dian-Yong High Energy Physics - Phenomenology High Energy Physics - Experiment In the present work, we propose to investigate the productions of $Λ_{c}(2910)$ and $Λ_{c}(2940)$ in the $π^{-} p \rightarrow D^{-} D^{0} p$ processes by utilizing an effective Lagrangian approach, where $Λ_c(2910)$ and $Λ_c(2940)$ are considered as $D^\ast N$ molecular states with $J^P$ quantum numbers to be $1/2^-$ and $3/2^-$, respectively. With the cutoff parameter determined by the upper limit of the cross sections for $π^- p \to D^{\ast-} Λ_c(2286)$, the ratios of the cross sections for $π^- p \to D^{\ast-} Λ_c(2286)$, $π^- p \to D^{-} Λ_c(2286)$, $π^- p \to D^{-} Λ_c(2910)$, and $π^- p \to D^{-} Λ_c(2940)$ are estimated to be $1:4.8:1.42:0.26$ at $p_π=30$ GeV. Considering that the $Λ_{c}(2910)$ and $Λ_{c}(2940)$ state can further decay into $D^{0}p$, we estimate the cross sections for $π^{-} p \rightarrow D^{-} D^{0} p$ process and the differential cross sections depending on the $D^0 p$ invariant mass spectrum. Our estimations indicate that the total cross sections are $(0.49^{+1.56}_{-0.38})$ nb when $p_π=15~\mathrm{GeV}$, where the uncertainties result from the variation of the $Λ_{r}$. By comparing the contributions of the $s$, $u$, and $t$-channels, we conclude that the $t$-channel plays the predominant role. Moreover, the present estimations suggest that the structure around 2.9 GeV in the $D^0 p$ invariant mass spectrum of the $π^{-} p \rightarrow D^{-} D^{0} p$ process should correspond to $Λ_c(2910)$ rather than $Λ_c(2940)$, which can be tested by further experimental measurements at J-PARC in the future. |
| title | $Λ_{c}(2910)$ and $Λ_{c}(2940)$ productions in $π^{-} p$ scattering process |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2502.03277 |