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@MISC{Collaboration:348388,
      author       = {{ALICE Collaboration}},
      title        = {{A}ccessing the strong interaction between $\Lambda$
                      baryons and charged kaons with the femtoscopy technique at
                      the {LHC}},
      reportid     = {GSI-2024-00224},
      year         = {2023},
      note         = {Journal Article GSI record: GSI-2024-00223},
      abstract     = {The interaction between $\Lambda$ baryons and
                      kaons/antikaons is a crucial part of the strangeness $S=0$
                      ($\Lambda-\mathrm{K}$) and $S=-2$
                      ($\Lambda$-$\mathrm{\overline{K}}$) sector of the
                      meson-baryon interaction at low energies and in the
                      understanding of states such as the $\Xi(1620)$, whose
                      nature and properties are still rather unknown. Experimental
                      data on $\Lambda$-K and $\Lambda$-$\mathrm{\overline{K}}$
                      systems are rather scarce, leading to large uncertainties
                      and tension between the available theoretical predictions.
                      Recently, measurements of two-particle correlations in small
                      colliding systems such as p-p collisions at LHC provided a
                      significant improvement in the knowledge of several
                      hadron-hadron interactions, in particular when strange
                      baryons and mesons are involved. Correlation functions of
                      $\Lambda - $K$^+\oplus \overline{\Lambda} - $K$^-$ and
                      $\Lambda - $K$^-\oplus \overline{\Lambda} - $K$^+$ pairs
                      were measured in Pb-Pb collisions and provided for the first
                      time experimental constraints on the scattering parameters
                      of the underlying interactions. In this letter we extend the
                      measurements to small colliding systems by presenting
                      $\Lambda - $K$^+\oplus \overline{\Lambda} - $K$^-$ and
                      $\Lambda - $K$^-\oplus \overline{\Lambda} - $K$^+$
                      correlations obtained in the high-multiplicity triggered
                      sample in p-p collisions at $\sqrt{s}=13$ TeV recorded by
                      ALICE. The interaction for both pairs is modeled using the
                      Lednicky-Lyuboshits analytical formula and the corresponding
                      scattering parameters $Ref_0$, $Imf_0$ and $d_0$ are
                      extracted by comparing the theoretical correlation to the
                      data. A repulsive interaction for the $\Lambda - $K$^+\oplus
                      \overline{\Lambda} - $K$^-$ system is found, which is in
                      agreement with previous Pb-Pb results. The non-negligible
                      $Imf_0$ indicates a significant coupling to inelastic
                      channels, such as $\pi$N and $\Sigma$K. 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 $\Omega$,
                      $\Xi(1690)$ and $\Xi(1820)$ resonances decaying into
                      $\Lambda-\mathrm{K}^-$ 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 $\Lambda -
                      $K$^-\oplus \overline{\Lambda} - $K$^+$ interaction is hence
                      modeled assuming a resonant contribution, through the
                      formation of the $\Xi(1620)$ state, and a non-resonant one,
                      which dominates the intermediate $k^\ast$ region. The
                      extracted non-resonant scattering parameters are compatible
                      with the Pb-Pb measurements and the extracted pole
                      properties of the $\Xi(1620)$ agree with the recent Belle
                      measurement of $\Xi(1620)\rightarrow\Xi\pi$. The presented
                      data allow to access the $\Lambda - $K$^+\oplus
                      \overline{\Lambda} - $K$^-$ and $\Lambda - $K$^-\oplus
                      \overline{\Lambda} - $K$^+$ interaction with an
                      unprecedented precision and the first experimental
                      observation of the $\Xi(1620)$ decaying into the
                      $\Lambda-\mathrm{K}^-$ channel.},
      cin          = {ALI / DTL / CIT / EXM / ALICE@CERN},
      cid          = {I:(DE-Ds200)ALI-20080822OR105 /
                      I:(DE-Ds200)DTL-20051214OR031 /
                      I:(DE-Ds200)CIT-20110310OR121 /
                      I:(DE-Ds200)EXM-20080818OR100 / I:(DE-Ds200)Coll-CERN-ALICE},
      pnm          = {612 - Cosmic Matter in the Laboratory (POF4-612) / HGS-HIRe
                      - HGS-HIRe for FAIR (HGS-HIRe) / SUC-GSI-Heidelberg -
                      Strategic university cooperation GSI-U Heidelberg
                      (SUC-GSI-HE) / SUC-GSI-Frankfurt - Strategic university
                      cooperation GSI-U Frankfurt/M (SUC-GSI-FR) /
                      SUC-GSI-Darmstadt - Strategic university cooperation GSI-TU
                      Darmstadt (SUC-GSI-DA)},
      pid          = {G:(DE-HGF)POF4-612 / G:(DE-Ds200)HGS-HIRe /
                      G:(DE-Ds200)SUC-GSI-HE / G:(DE-Ds200)SUC-GSI-FR /
                      G:(DE-Ds200)SUC-GSI-DA},
      experiment   = {EXP:(DE-H253)LHC-Exp-ALICE-20150101},
      typ          = {PUB:(DE-HGF)32},
      doi          = {10.17182/HEPDATA.143518},
      url          = {https://repository.gsi.de/record/348388},
}