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$\Lambda\rm{K}$ femtoscopy in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV

The ALICE collaboration
Phys.Rev.C 103 (2021) 055201, 2021.

Abstract (data abstract)
The first measurements of the scattering parameters of $\Lambda$K pairs in all three charge combinations ($\Lambda$K$^{+}$, $\Lambda$K$^{-}$, and $\Lambda\mathrm{K^{0}_{S}}$) are presented. The results are achieved through a femtoscopic analysis of $\Lambda$K correlations in Pb--Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV recorded by ALICE at the LHC. The femtoscopic correlations result from strong final-state interactions, and are fit with a parametrization allowing for both the characterization of the pair emission source and the measurement of the scattering parameters for the particle pairs. Extensive studies with the THERMINATOR 2 event generator provide a good description of the non-femtoscopic background, which results mainly from collective effects, with unprecedented precision. Furthermore, together with HIJING simulations, this model is used to account for contributions from residual correlations induced by feed-down from particle decays. The extracted scattering parameters indicate that the strong force is repulsive in the $\Lambda\mathrm{K^{+}}$ interaction and attractive in the $\Lambda\mathrm{K^{-}}$ and $\Lambda\mathrm{K^{0}_{S}}$ interactions. The results suggest an effect arising either from different quark--antiquark interactions between the pairs ($\rm s\overline{s}$ in $\Lambda$K$^{+}$ and $\rm u\overline{u}$ in $\Lambda$K$^{-}$) or from different net strangeness for each system (S=0 for $\Lambda$K$^{+}$, and S=$-2$ for $\Lambda$K$^{-}$). Finally, the $\Lambda$K systems exhibit source radii larger than expected from extrapolation from identical particle femtoscopic studies. This effect is interpreted as resulting from the separation in space--time of the single-particle $\Lambda$ and K source distributions.

  • Figure 1a

    Data from Figure 1a

    10.17182/hepdata.104979.v1/t1

    Invariant mass distributions in the 0--10\% centrality interval of (a) p$\uppi^{-}$ pairs showing the $\Lambda$ peak for V$^{0}$ candidates.

  • Figure 1b

    Data from Figure 1b

    10.17182/hepdata.104979.v1/t2

    Invariant mass distributions in the 0--10\% centrality interval of $\uppi^{+}\uppi^{-}$ pairs showing the $\mathrm{K^{0}_{S}}$ peak for V$^{0}$ candidates.

  • Figure 2a ALICE

    ALICE data from Figure 2a

    10.17182/hepdata.104979.v1/t3

    Measured correlation function for the $\Lambda\mathrm{K^{+}}\oplus\overline{\Lambda}\mathrm{K^{-}}$ system in the 0--10\% centrality interval.

  • Figure 2a THERM

    THERMINATOR 2 simulation data from Figure 2a

    10.17182/hepdata.104979.v1/t4

    THERMINATOR 2 simulation correlation function for the $\Lambda\mathrm{K^{+}}\oplus\overline{\Lambda}\mathrm{K^{-}}$ system in the 0--10\% centrality interval.

  • Figure 2b ALICE

    ALICE data from Figure 2b

    10.17182/hepdata.104979.v1/t5

    Measured correlation function for the $\Lambda\mathrm{K^{-}}\oplus\overline{\Lambda}\mathrm{K^{+}}$ system in the 0--10\% centrality interval.

  • Figure 2b THERM

    THERMINATOR 2 simulation data from Figure 2b

    10.17182/hepdata.104979.v1/t6

    THERMINATOR 2 simulation correlation function for the $\Lambda\mathrm{K^{-}}\oplus\overline{\Lambda}\mathrm{K^{+}}$ system in the 0--10\% centrality interval.

  • Figure 2c ALICE

    ALICE data from Figure 2c

    10.17182/hepdata.104979.v1/t7

    Measured correlation function for the $\Lambda\mathrm{K^{0}_{S}}\oplus\overline{\Lambda}\mathrm{K^{0}_{S}}$ system in the 0--10\% centrality interval.

  • Figure 2c THERM

    THERMINATOR 2 simulation data from Figure 2c

    10.17182/hepdata.104979.v1/t8

    THERMINATOR 2 simulation correlation function for the $\Lambda\mathrm{K^{0}_{S}}\oplus\overline{\Lambda}\mathrm{K^{0}_{S}}$ system in the 0--10\% centrality interval.

  • Figure 2d ALICE

    ALICE data from Figure 2d

    10.17182/hepdata.104979.v1/t9

    Measured correlation function for the $\Lambda\mathrm{K^{+}}\oplus\overline{\Lambda}\mathrm{K^{-}}$ system in the 10--30\% centrality interval.

  • Figure 2d THERM

    THERMINATOR 2 simulation data from Figure 2d

    10.17182/hepdata.104979.v1/t10

    THERMINATOR 2 simulation correlation function for the $\Lambda\mathrm{K^{+}}\oplus\overline{\Lambda}\mathrm{K^{-}}$ system in the 10--30\% centrality interval.

  • Figure 2e ALICE

    ALICE data from Figure 2e

    10.17182/hepdata.104979.v1/t11

    Measured correlation function for the $\Lambda\mathrm{K^{-}}\oplus\overline{\Lambda}\mathrm{K^{+}}$ system in the 10--30\% centrality interval.

  • Figure 2e THERM

    THERMINATOR 2 simulation data from Figure 2e

    10.17182/hepdata.104979.v1/t12

    THERMINATOR 2 simulation correlation function for the $\Lambda\mathrm{K^{-}}\oplus\overline{\Lambda}\mathrm{K^{+}}$ system in the 10--30\% centrality interval.

  • Figure 2f ALICE

    ALICE data from Figure 2f

    10.17182/hepdata.104979.v1/t13

    Measured correlation function for the $\Lambda\mathrm{K^{0}_{S}}\oplus\overline{\Lambda}\mathrm{K^{0}_{S}}$ system in the 10--30\% centrality interval.

  • Figure 2f THERM

    THERMINATOR 2 simulation data from Figure 2f

    10.17182/hepdata.104979.v1/t14

    THERMINATOR 2 simulation correlation function for the $\Lambda\mathrm{K^{0}_{S}}\oplus\overline{\Lambda}\mathrm{K^{0}_{S}}$ system in the 10--30\% centrality interval.

  • Figure 2g ALICE

    ALICE data from Figure 2g

    10.17182/hepdata.104979.v1/t15

    Measured correlation function for the $\Lambda\mathrm{K^{+}}\oplus\overline{\Lambda}\mathrm{K^{-}}$ system in the 30--50\% centrality interval.

  • Figure 2g THERM

    THERMINATOR 2 simulation data from Figure 2g

    10.17182/hepdata.104979.v1/t16

    THERMINATOR 2 simulation correlation function for the $\Lambda\mathrm{K^{+}}\oplus\overline{\Lambda}\mathrm{K^{-}}$ system in the 30--50\% centrality interval.

  • Figure 2h ALICE

    ALICE data from Figure 2h

    10.17182/hepdata.104979.v1/t17

    Measured correlation function for the $\Lambda\mathrm{K^{-}}\oplus\overline{\Lambda}\mathrm{K^{+}}$ system in the 30--50\% centrality interval.

  • Figure 2h THERM

    THERMINATOR 2 simulation data from Figure 2h

    10.17182/hepdata.104979.v1/t18

    THERMINATOR 2 simulation correlation function for the $\Lambda\mathrm{K^{-}}\oplus\overline{\Lambda}\mathrm{K^{+}}$ system in the 30--50\% centrality interval.

  • Figure 2i ALICE

    ALICE data from Figure 2i

    10.17182/hepdata.104979.v1/t19

    Measured correlation function for the $\Lambda\mathrm{K^{0}_{S}}\oplus\overline{\Lambda}\mathrm{K^{0}_{S}}$ system in the 30--50\% centrality interval.

  • Figure 2i THERM

    THERMINATOR 2 simulation data from Figure 2i

    10.17182/hepdata.104979.v1/t20

    THERMINATOR 2 simulation correlation function for the $\Lambda\mathrm{K^{0}_{S}}\oplus\overline{\Lambda}\mathrm{K^{0}_{S}}$ system in the 30--50\% centrality interval.

  • Figure 3a

    Data from Figure 3a

    10.17182/hepdata.104979.v1/t21

    Measured correlation function for the $\Lambda\mathrm{K^{+}}\oplus\overline{\Lambda}\mathrm{K^{-}}$ system in the 0--10\% centrality interval.

  • Figure 3b

    Data from Figure 3b

    10.17182/hepdata.104979.v1/t22

    Measured correlation function for the $\Lambda\mathrm{K^{-}}\oplus\overline{\Lambda}\mathrm{K^{+}}$ system in the 0--10\% centrality interval.

  • Figure 3c

    Data from Figure 3c

    10.17182/hepdata.104979.v1/t23

    Measured correlation function for the $\Lambda\mathrm{K^{0}_{S}}\oplus\overline{\Lambda}\mathrm{K^{0}_{S}}$ system in the 0--10\% centrality interval.

  • Figure 3d

    Data from Figure 3d

    10.17182/hepdata.104979.v1/t24

    Measured correlation function for the $\Lambda\mathrm{K^{+}}\oplus\overline{\Lambda}\mathrm{K^{-}}$ system in the 10--30\% centrality interval.

  • Figure 3e

    Data from Figure 3e

    10.17182/hepdata.104979.v1/t25

    Measured correlation function for the $\Lambda\mathrm{K^{-}}\oplus\overline{\Lambda}\mathrm{K^{+}}$ system in the 10--30\% centrality interval.

  • Figure 3f

    Data from Figure 3f

    10.17182/hepdata.104979.v1/t26

    Measured correlation function for the $\Lambda\mathrm{K^{0}_{S}}\oplus\overline{\Lambda}\mathrm{K^{0}_{S}}$ system in the 10--30\% centrality interval.

  • Figure 3g

    Data from Figure 3g

    10.17182/hepdata.104979.v1/t27

    Measured correlation function for the $\Lambda\mathrm{K^{+}}\oplus\overline{\Lambda}\mathrm{K^{-}}$ system in the 30--50\% centrality interval.

  • Figure 3h

    Data from Figure 3h

    10.17182/hepdata.104979.v1/t28

    Measured correlation function for the $\Lambda\mathrm{K^{-}}\oplus\overline{\Lambda}\mathrm{K^{+}}$ system in the 30--50\% centrality interval.

  • Figure 3i

    Data from Figure 3i

    10.17182/hepdata.104979.v1/t29

    Measured correlation function for the $\Lambda\mathrm{K^{0}_{S}}\oplus\overline{\Lambda}\mathrm{K^{0}_{S}}$ system in the 30--50\% centrality interval.

  • Figure 4a left LamKs

    LamKs results from the left panel of Figure 4a

    10.17182/hepdata.104979.v1/t30

    Extracted imaginary and real components of the complex scattering length, $\Im f_{0}$ and $\Re f_{0}$, for the $\Lambda\mathrm{K^{0}_{S}}$ system.

  • Figure 4a left LamKchM

    LamKchM results from the left panel of Figure 4a

    10.17182/hepdata.104979.v1/t31

    Extracted imaginary and real components of the complex scattering length, $\Im f_{0}$ and $\Re f_{0}$, for the $\Lambda\mathrm{K^{-}}$ system.

  • Figure 4a left LamKchP

    LamKchP results from the left panel of Figure 4a

    10.17182/hepdata.104979.v1/t32

    Extracted imaginary and real components of the complex scattering length, $\Im f_{0}$ and $\Re f_{0}$, for the $\Lambda\mathrm{K^{+}}$ system.

  • Figure 4a right LamKs

    LamKs results from the right panel of Figure 4a

    10.17182/hepdata.104979.v1/t33

    Extracted effective range of the interaction, $d_{0}$, for the $\Lambda\mathrm{K^{0}_{S}}$ system.

  • Figure 4a right LamKchM

    LamKchM results from the right panel of Figure 4a

    10.17182/hepdata.104979.v1/t34

    Extracted effective range of the interaction, $d_{0}$, for the $\Lambda\mathrm{K^{-}}$ system.

  • Figure 4a right LamKchP

    LamKchP results from the right panel of Figure 4a

    10.17182/hepdata.104979.v1/t35

    Extracted effective range of the interaction, $d_{0}$, for the $\Lambda\mathrm{K^{+}}$ system.

  • Figure 4b 0010

    Results for 0--10\% centrality from Figure 4b

    10.17182/hepdata.104979.v1/t36

    The extracted $\lambda_{\mathrm{Fit}}$ and radius parameter for the $\Lambda$K system in the 0--10\% centrality interval.

  • Figure 4b 1030

    Results for 10--30\% centrality from Figure 4b

    10.17182/hepdata.104979.v1/t37

    The extracted $\lambda_{\mathrm{Fit}}$ and radius parameter for the $\Lambda$K system in the 10--30\% centrality interval.

  • Figure 4b 3050

    Results for 30--50\% centrality from Figure 4b

    10.17182/hepdata.104979.v1/t38

    The extracted $\lambda_{\mathrm{Fit}}$ and radius parameter for the $\Lambda$K system in the 30--50\% centrality interval.

  • Figure 5 0010

    Results for 0--10\% centrality from Figure 5

    10.17182/hepdata.104979.v1/t39

    Extracted fit $R_{\mathrm{inv}}$ parameters as a function of pair transverse mass ($m_{\mathrm{T}}$) for the $\Lambda$K system in the 0--10\% centrality...

  • Figure 5 1030

    Results for 10--30\% centrality from Figure 5

    10.17182/hepdata.104979.v1/t40

    Extracted fit $R_{\mathrm{inv}}$ parameters as a function of pair transverse mass ($m_{\mathrm{T}}$) for the $\Lambda$K system in the 10--30\% centrality...

  • Figure 5 3050

    Results for 30--50\% centrality from Figure 5

    10.17182/hepdata.104979.v1/t41

    Extracted fit $R_{\mathrm{inv}}$ parameters as a function of pair transverse mass ($m_{\mathrm{T}}$) for the $\Lambda$K system in the 30--50\% centrality...

  • Figure 6a

    Data from Figure 6a

    10.17182/hepdata.104979.v1/t42

    Spherical harmonics component $C_{00}$ of the $\Lambda\mathrm{K^{+}}$ correlation function for the 0--10\% centrality interval.

  • Figure 6b

    Data from Figure 6b

    10.17182/hepdata.104979.v1/t43

    Spherical harmonics component $\Re C_{11}$ of the $\Lambda\mathrm{K^{+}}$ correlation function for the 0--10\% centrality interval.

  • Figure 7a Normal

    Data from Figure 7a (normal)

    10.17182/hepdata.104979.v1/t44

    Correlation functions for the $\Lambda\mathrm{K^{+}}\oplus\overline{\Lambda}\mathrm{K^{-}}$ system built using the normal mixed-event reference distribution for the 0--10\% centrality interval.

  • Figure 7a Stavinskiy

    Data from Figure 7a (Stavinskiy)

    10.17182/hepdata.104979.v1/t45

    Correlation functions for the $\Lambda\mathrm{K^{+}}\oplus\overline{\Lambda}\mathrm{K^{-}}$ system built using the Stavinskiy method for the 0--10\% centrality interval.

  • Figure 7b Normal

    Data from Figure 7b (normal)

    10.17182/hepdata.104979.v1/t46

    Correlation functions for the $\Lambda\mathrm{K^{+}}\oplus\overline{\Lambda}\mathrm{K^{-}}$ system built using the normal mixed-event reference distribution for the 10--30\% centrality interval.

  • Figure 7b Stavinskiy

    Data from Figure 7b (Stavinskiy)

    10.17182/hepdata.104979.v1/t47

    Correlation functions for the $\Lambda\mathrm{K^{+}}\oplus\overline{\Lambda}\mathrm{K^{-}}$ system built using the Stavinskiy method for the 10--30\% centrality interval.

  • Figure 7c Normal

    Data from Figure 7c (normal)

    10.17182/hepdata.104979.v1/t48

    Correlation functions for the $\Lambda\mathrm{K^{+}}\oplus\overline{\Lambda}\mathrm{K^{-}}$ system built using the normal mixed-event reference distribution for the 30--50\% centrality interval.

  • Figure 7c Stavinskiy

    Data from Figure 7c (Stavinskiy)

    10.17182/hepdata.104979.v1/t49

    Correlation functions for the $\Lambda\mathrm{K^{+}}\oplus\overline{\Lambda}\mathrm{K^{-}}$ system built using the Stavinskiy method for the 30--50\% centrality interval.

  • Figure 8a ALICE

    ALICE data from Figure 8a

    10.17182/hepdata.104979.v1/t50

    One-dimensional $\Lambda\mathrm{K^{+}}\oplus\overline{\Lambda}\mathrm{K^{-}}$ correlation function for the experimental data in the 0--10\% centrality interval.

  • Figure 8a THERM

    THERMINATOR 2 simulation data from Figure 8a

    10.17182/hepdata.104979.v1/t51

    One-dimensional $\Lambda\mathrm{K^{+}}\oplus\overline{\Lambda}\mathrm{K^{-}}$ correlation function for the THERMINATOR 2 simulation with impact parameter b = 2 fm.

  • Figure 8b ALICE

    ALICE data from Figure 8b

    10.17182/hepdata.104979.v1/t52

    $\Re C_{11}$ component of a spherical harmonic decomposition for the experimental data in the 0--10\% centrality interval.

  • Figure 8b THERM

    THERMINATOR 2 simulation data from Figure 8b

    10.17182/hepdata.104979.v1/t53

    $\Re C_{11}$ component of a spherical harmonic decomposition for the THERMINATOR 2 simulation with impact parameter b = 2 fm.

  • Figure 8c

    Data from Figure 8c

    10.17182/hepdata.104979.v1/t54

    The pair source distribution from the THERMINATOR 2 simulation in the out direction.

  • Figure 8d

    Data from Figure 8d

    10.17182/hepdata.104979.v1/t55

    The pair source distribution from the THERMINATOR 2 simulation in the side direction.

  • Figure 8e

    Data from Figure 8e

    10.17182/hepdata.104979.v1/t56

    The pair source distribution from the THERMINATOR 2 simulation in the long direction.

  • Figure 8f

    Data from Figure 8f

    10.17182/hepdata.104979.v1/t57

    The temporal characteristics of the pair source distribution from the THERMINATOR 2 simulation.

  • Figure 9a

    Data from Figure 9a

    10.17182/hepdata.104979.v1/t58

    Probing the effect of varying the source shift in the outward direction, $\mu_{\mathrm{out}}$, within the THERMINATOR 2 framework. To achieve...

  • Figure 9b

    Data from Figure 9b

    10.17182/hepdata.104979.v1/t59

    Probing the effect of varying the source shift in the outward direction, $\mu_{\mathrm{out}}$, within the THERMINATOR 2 framework. To achieve...

  • Figure 9c

    Data from Figure 9c

    10.17182/hepdata.104979.v1/t60

    Probing the effect of varying the source shift in the outward direction, $\mu_{\mathrm{out}}$, within the THERMINATOR 2 framework. To achieve...

  • Figure 9d

    Data from Figure 9d

    10.17182/hepdata.104979.v1/t61

    Probing the effect of varying the source shift in the outward direction, $\mu_{\mathrm{out}}$, within the THERMINATOR 2 framework. To achieve...

  • Figure 10a ALICE

    ALICE data from Figure 10a

    10.17182/hepdata.104979.v1/t62

    Spherical harmonics component $C_{00}$ of the $\Lambda\mathrm{K^{+}}$ correlation function for the 0--10\% centrality interval.

  • Figure 10a THERM muOut0

    THERMINATOR 2 simulation with a shift $\mu_{\mathrm{out}} = 0$ fm from Figure 10a

    10.17182/hepdata.104979.v1/t63

    Spherical harmonics component $C_{00}$ of the $\Lambda\mathrm{K^{+}}$ correlation function from the THERMINATOR 2 simulation implemented with a shift $\mu_{\mathrm{out}} =...

  • Figure 10a THERM muOut1

    THERMINATOR 2 simulation with a shift $\mu_{\mathrm{out}} = 1$ fm from Figure 10a

    10.17182/hepdata.104979.v1/t64

    Spherical harmonics component $C_{00}$ of the $\Lambda\mathrm{K^{+}}$ correlation function from the THERMINATOR 2 simulation implemented with a shift $\mu_{\mathrm{out}} =...

  • Figure 10a THERM muOut3

    THERMINATOR 2 simulation with a shift $\mu_{\mathrm{out}} = 3$ fm from Figure 10a

    10.17182/hepdata.104979.v1/t65

    Spherical harmonics component $C_{00}$ of the $\Lambda\mathrm{K^{+}}$ correlation function from the THERMINATOR 2 simulation implemented with a shift $\mu_{\mathrm{out}} =...

  • Figure 10a THERM muOut6

    THERMINATOR 2 simulation with a shift $\mu_{\mathrm{out}} = 6$ fm from Figure 10a

    10.17182/hepdata.104979.v1/t66

    Spherical harmonics component $C_{00}$ of the $\Lambda\mathrm{K^{+}}$ correlation function from the THERMINATOR 2 simulation implemented with a shift $\mu_{\mathrm{out}} =...

  • Figure 10b ALICE

    ALICE data from Figure 10b

    10.17182/hepdata.104979.v1/t67

    Spherical harmonics component $\Re C_{11}$ of the $\Lambda\mathrm{K^{+}}$ correlation function for the 0--10\% centrality interval.

  • Figure 10b THERM muOut0

    THERMINATOR 2 simulation with a shift $\mu_{\mathrm{out}} = 0$ fm from Figure 10b

    10.17182/hepdata.104979.v1/t68

    Spherical harmonics component $\Re C_{11}$ of the $\Lambda\mathrm{K^{+}}$ correlation function from the THERMINATOR 2 simulation implemented with a shift $\mu_{\mathrm{out}}...

  • Figure 10b THERM muOut1

    THERMINATOR 2 simulation with a shift $\mu_{\mathrm{out}} = 1$ fm from Figure 10b

    10.17182/hepdata.104979.v1/t69

    Spherical harmonics component $\Re C_{11}$ of the $\Lambda\mathrm{K^{+}}$ correlation function from the THERMINATOR 2 simulation implemented with a shift $\mu_{\mathrm{out}}...

  • Figure 10b THERM muOut3

    THERMINATOR 2 simulation with a shift $\mu_{\mathrm{out}} = 3$ fm from Figure 10b

    10.17182/hepdata.104979.v1/t70

    Spherical harmonics component $\Re C_{11}$ of the $\Lambda\mathrm{K^{+}}$ correlation function from the THERMINATOR 2 simulation implemented with a shift $\mu_{\mathrm{out}}...

  • Figure 10b THERM muOut6

    THERMINATOR 2 simulation with a shift $\mu_{\mathrm{out}} = 6$ fm from Figure 10b

    10.17182/hepdata.104979.v1/t71

    Spherical harmonics component $\Re C_{11}$ of the $\Lambda\mathrm{K^{+}}$ correlation function from the THERMINATOR 2 simulation implemented with a shift $\mu_{\mathrm{out}}...

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