Accessing the strong interaction between $\Lambda$ baryons and charged kaons with the femtoscopy technique at the LHC

Abstract

The interaction between $\Lambda$ baryons and kaons/antikaons is a crucial ingredient for the strangeness $S=0$ and $S=-2$ sector of the meson$-$baryon interaction at low energies. In particular, the $\Lambda \overline{\mathrm{K}}$ might help in understanding the origin of states such as the $\Xi (1620)$, whose nature and properties are still under debate. Experimental data on $\Lambda$$-$$\mathrm{K}$ and $\Lambda$$-$$\overline{\mathrm{K}}$ systems are scarce, leading to large uncertainties and tension between the available theoretical predictions constrained by such data. In this Letter we present the measurements of $\Lambda$$-$K${}^{+}\oplus \overline{\Lambda }$$-$K${}^{-}$ and $\Lambda$$-$K${}^{-}\oplus \overline{\Lambda }$$-$K${}^{+}$ correlations obtained in the high-multiplicity triggered data sample in pp collisions at $\sqrt{s}=13$ TeV recorded by ALICE at the LHC. The correlation function for both pairs is modeled using the Lednicky$-$Lyuboshits analytical formula and the corresponding scattering parameters are extracted. The $\Lambda$$-$K${}^{-}\oplus \overline{\Lambda }$$-$K${}^{+}$ correlations show the presence of several structures at relative momenta $k^{\ast }$ above 200 MeV/$c$, compatible with the $\Omega$ baryon, the $\Xi (1690)$, and $\Xi (1820)$ resonances decaying into $\Lambda$$-$K${}^{-}$ pairs. The low $k^{\ast }$ region in the $\Lambda$$-$K${}^{-}\oplus \overline{\Lambda }$$-$K${}^{+}$ also exhibits the presence of the $\Xi (1620)$ state, expected to strongly couple to the measured pair. The presented data allow to access the $\Lambda$K${}^{+}$ and $\Lambda$K${}^{-}$ strong interaction with an unprecedented precision and deliver the first experimental observation of the $\Xi (1620)$ decaying into $\Lambda$K${}^{-}$.

arXiv comment24 pages, 4 captioned figures, 1 table, authors from page 18, published version, figures at http://alice-publications.web.cern.ch/node/9352

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• Indication of a p-$\varphi$ bound state from a correlation function analysis
• Searching for femtoscopic signatures of the $D\bar{D}(I=0)[X(3700)]$ bound state
• Investigating the p-${\pi }^{\pm }$ and p-p-${\pi }^{\pm }$ dynamics with femtoscopy in pp collisions at $\sqrt{s}=13$ TeV
• Double strangeness pentaquarks and other exotic hadrons in the ${\Xi }_b\to \Xi J/\Psi \varphi$ decay
• Revealing dipion correlations for the observed substructure near the ${\pi }^{+}{\pi }^{-}$ mass threshold in $\psi (3686)\to J/\psi {\pi }^{+}{\pi }^{-}$
• Reconstructing rare particle source by femtoscopic correlations