Eur. Phys. J. C (2025) 85: 1216
https://doi.org/10.1140/epjc/s10052-025-14867-7

Regular Article - Theoretical Physics

${\mathrm{\Lambda }}_c(2910)$ and ${\mathrm{\Lambda }}_c(2940)$ productions in association with $D_{s0}^{\ast }{(2317)}^{-}$ and $D_{s1}{(2460)}^{-}$ via $K^{-}p$ scattering

¹ School of Physics, Southeast University, 210094, Nanjing, People’s Republic of China
² INFN, Sezione di Genova, Via Dodecaneso 33, 16146, Genoa, Italy
³ Lanzhou Center for Theoretical Physics, Lanzhou University, 730000, Lanzhou, People’s Republic of China

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Received: 26 July 2025
Accepted: 28 September 2025
Published online: 29 October 2025

Abstract

In the present work, we investigate the productions of ${\mathrm{\Lambda }}_c(2910)$ and ${\mathrm{\Lambda }}_c(2940)$ in association with $D_{s0}^{\ast }{(2317)}^{-}$ and $D_{s1}{(2460)}^{-}$ through $K^{-}p$ scattering process, where ${\mathrm{\Lambda }}_c(2910)$ and ${\mathrm{\Lambda }}_c(2940)$ are identified as $N{D}^{\ast }$ molecular states with $J^P$ quantum numbers to be $1/2^{-}$ and $3/2^{-}$, respectively, while $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ are respectively treated as $S-$wave DK and $D^{\ast }K$ molecular states. Utilizing an effective Lagrangian approach, we evaluated the cross sections for $K^{-}p\to D_{s0}^{\ast }{(2317)}^{-}{\mathrm{\Lambda }}_c(2910)/{\mathrm{\Lambda }}_c(2940)$ and $K^{-}p\to D_{s1}{(2460)}^{-}{\mathrm{\Lambda }}_c(2910)/{\mathrm{\Lambda }}_c(2940)$. Our estimations at $p_K=20$ GeV yield the following cross sections: $$\begin{array}{cc}\hfill \sigma (K^{-}p\to D_{s0}^{\ast }{(2317)}^{-}{\mathrm{\Lambda }}_c(2910))=& (1.7_{-1.3}^{+5.5})\text{nb},\hfill \\ \hfill \sigma (K^{-}p\to D_{s0}^{\ast }{(2317)}^{-}{\mathrm{\Lambda }}_c(2940))=& (49.1_{-38.0}^{+147.2})\text{nb},\hfill \\ \hfill \sigma (K^{-}p\to D_{s1}{(2460)}^{-}{\mathrm{\Lambda }}_c(2910))=& (84.5_{-65.4}^{+244.1})\text{nb},\hfill \\ \hfill \sigma (K^{-}p\to D_{s1}{(2460)}^{-}{\mathrm{\Lambda }}_c(2940))=& (13.7_{-10.6}^{+39.6})\text{nb},\hfill \end{array}$$where the central values are estimated with ${\mathrm{\Lambda }}_r=1.1$ GeV, and the errors come from the variation of the model parameter ${\mathrm{\Lambda }}_r$ from 1.0 to 1.2 GeV, and the uncertainties of the relevant coupling constants. In addition, the differential cross sections for the relevant processes are evaluated, and our estimations indicate that these differential cross sections reach the maximum at the forward angle limit.