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$Λ_{c} (2910)$ and $Λ_{c} (2940)$ productions in $π^{-} p$ scattering process

Quan-Yun Guo ¹ and Dian-Yong Chen ^1,2,*

¹School of Physics, Southeast University, Nanjing 210094, People’s Republic of China
²Lanzhou Center for Theoretical Physics, Lanzhou University, Lanzhou 730000, China

^*Corresponding author: chendy@seu.edu.cn

Phys. Rev. D 111, 114011 – Published 16 June, 2025

DOI: https://doi.org/10.1103/pplc-7r3c

Abstract

In the present work, we propose to investigate the productions of $Λ_{c} (2910)$ and $Λ_{c} (2940)$ in the $π^{-} p \to D^{-} D^{0} p$ processes by utilizing an effective Lagrangian approach, where $Λ_{c} (2910)$ and $Λ_{c} (2940)$ are considered as $D^{*} N$ 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 $π^{-} p \to D^{* -} Λ_{c} (2286)$ , the ratios of the cross sections for $π^{-} p \to D^{* -} Λ_{c} (2286)$ , $π^{-} p \to D^{-} Λ_{c} (2286)$ , $π^{-} p \to D^{-} Λ_{c} (2910)$ , 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 $π^{-} p \to D^{-} D^{0} p$ process and the differential cross sections depending on the $D^{0} p$ invariant mass spectrum. Our estimations indicate that the total cross sections are $(0.4 9_{- 0.38}^{+ 1.56}) nb$ when $p_{π} = 15 GeV$ , 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 $π^{-} p \to D^{-} D^{0} p$ 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.

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Phys. Rev. D 111, 114011– Published 16 June, 2025

Vol. 111, Iss. 11 — 1 June 2025

Received 9 February 2025
Accepted 15 May 2025

DOI: https://doi.org/10.1103/pplc-7r3c

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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$Λ_{c} (2910)$ and $Λ_{c} (2940)$ productions in $π^{-} p$ scattering process

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Λc(2910) and Λc(2940) productions in π−p scattering process

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References (75)

$Λ_{c} (2910)$ and $Λ_{c} (2940)$ productions in $π^{-} p$ scattering process