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Accessing the strong interaction between $\Lambda$ baryons and charged kaons with the femtoscopy technique at the LHC
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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 $\Lambda{\mathrm{\overline{K}}}$ might help in understanding the origin of states such as the $\Xi\mathrm{(1620)}$, whose nature and properties are still under debate. Experimental data on $\Lambda$$-$${\mathrm{K}}$ and $\Lambda$$-$${\mathrm{\overline{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 $k^*$ above 200 MeV/$c$, compatible with the $\Omega$ baryon, the $\Xi\mathrm{(1690)}$, and $\Xi\mathrm{(1820)}$ resonances decaying into $\Lambda$$-$K$^-$ pairs. The low $k^*$ region in the $\Lambda$$-$K$^-\oplus \overline{\Lambda}$$-$K$^+$ also exhibits the presence of the $\Xi\mathrm{(1620)}$ 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 $\Xi\mathrm{(1620)}$ decaying into $\Lambda$K$^-$.
Forward citations
Cited by 8 Pith papers
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Quantum interference effects enhanced in $\pi^+p$ femtoscopic correlation functions
The π⁺p correlation peak near 140 MeV/c arises from quantum interference of incident and scattered waves, while the Δ decay peaks near 220 MeV/c; their m_T-dependent mix explains the ALICE peak shift.
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Signatures of Odd-Parity $s$-wave $\Xi^*$ States in Femtoscopic Correlation Functions
Using a unitarized hidden-gauge model, the authors dynamically generate Xi(1950)-like and Xi(2120)-like poles and predict femtoscopic correlation functions for six vector-baryon channels.
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Spectroscopic and femtoscopic insights into vector-baryon interactions in the strangeness $-1$ sector
The authors predict three Lambda* and two Sigma* resonances from vector-baryon interactions and provide femtoscopy correlation functions for six channels in the S=-1 sector.
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Eigenstates in coupled-channel scattering amplitude and their effects on spectrum
In coupled-channel scattering, the observable above-threshold resonance originates from the virtual-state pole, while the subthreshold quasibound state becomes a shadow pole, an interchange shown and applied to Xi resonances.
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Femtoscopic study of the $S=-1$ meson-baryon interaction: $K^-p$, $\pi^-\Lambda$ and $K^+\Xi^-$ correlations
Chiral unitary models reproduce the measured kaon-proton correlation and give first predictions for pion-Lambda and kaon-Xi-minus correlations using new production-weight methods.
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On the possible existence of a $S=-3, \, I=1$ pentaquark
A unitarized chiral calculation with next-to-leading-order terms generates a possible I=1 triply strange pentaquark near the Kbar-Xi threshold for one LEC set.
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Bridging correlation and spectroscopy measurements to access the hadron interaction behind molecular states: the case of the $\Xi$(1620) and $\Xi$(1690) in the $K^- \Lambda$ system
A model constrained by ALICE correlation data reproduces the LHCb K−Λ mass spectrum above 1680 MeV but overshoots the threshold region dominated by the Xi(1620).
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Higher partial waves in femtoscopy
Femtoscopy correlation functions can be corrected for higher partial waves via a sum over angular momentum, and the simplified Lednicky-Lyuboshitz formula, while elegant, breaks down for l >= 1.
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