Dynamical resonances $\mathrm{\Lambda }(1405)$, $\mathrm{\Lambda }(1670)$, and $f_0(980)$ in the process ${\mathrm{\Lambda }}_c^{+}\to p{K}^{+}{K}^{-}$

Motivated by new BESIII measurements of the singly Cabibbo-suppressed process ${\mathrm{\Lambda }}_c^{+}\to p{K}^{+}{K}^{-}$, we investigate the ${\mathrm{\Lambda }}_c^{+}\to p{K}^{+}{K}^{-}$ reaction by taking into account contributions from the low-lying excited baryons $\mathrm{\Lambda }(1405)$ and $\mathrm{\Lambda }(1670)$, which are dynamically generated via the $S$-wave pseudoscalar meson-octet baryon interaction. In addition, contributions from the light scalar mesons $f_0(980)\mathrm{/}{a}_0(980)$ dynamically generated via the $S$-wave pseudoscalar meson-pseudoscalar meson interaction, as well as the vector meson $\phi (1020)$, are also considered. The theoretical calculations could reproduce the invariant mass distributions of $K^{-}p$ and $K^{+}{K}^{-}$ measured by the BESIII Collaboration well. Specifically, a near-threshold enhancement and a cusp structure around 1670~MeV in the $p{K}^{-}$ invariant mass spectrum are obtained, which are associated with the $\mathrm{\Lambda }(1405)$ and $\mathrm{\Lambda }(1670)$ resonances, respectively. Furthermore, contributions from the scalar meson $f_0(980)$ and vector meson $\phi (1020)$ are clearly observed in the $K^{+}{K}^{-}$ invariant mass distribution. Future high-precision measurements by the BESIII, Belle II, and the proposed Super Tau-Charm Facility experiments will substantially deepen our understanding of the intrinsic properties of the low-lying excited $\mathrm{\Lambda }$ states and the $f_0(980)\mathrm{/}{a}_0(980)$ meson.