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}}...

Figure 1a

Figure 1b

Figure 2a ALICE

Figure 2a THERM

Figure 2b ALICE

Figure 2b THERM

Figure 2c ALICE

Figure 2c THERM

Figure 2d ALICE

Figure 2d THERM

Figure 2e ALICE

Figure 2e THERM

Figure 2f ALICE

Figure 2f THERM

Figure 2g ALICE

Figure 2g THERM

Figure 2h ALICE

Figure 2h THERM

Figure 2i ALICE

Figure 2i THERM

Figure 3a

Figure 3b

Figure 3c

Figure 3d

Figure 3e

Figure 3f

Figure 3g

Figure 3h

Figure 3i

Figure 4a left LamKs

Figure 4a left LamKchM

Figure 4a left LamKchP

Figure 4a right LamKs

Figure 4a right LamKchM

Figure 4a right LamKchP

Figure 4b 0010

Figure 4b 1030

Figure 4b 3050

Figure 5 0010

Figure 5 1030

Figure 5 3050

Figure 6a

Figure 6b

Figure 7a Normal

Figure 7a Stavinskiy

Figure 7b Normal

Figure 7b Stavinskiy

Figure 7c Normal

Figure 7c Stavinskiy

Figure 8a ALICE

Figure 8a THERM

Figure 8b ALICE

Figure 8b THERM

Figure 8c

Figure 8d

Figure 8e

Figure 8f

Figure 9a

Figure 9b

Figure 9c

Figure 9d

Figure 10a ALICE

Figure 10a THERM muOut0

Figure 10a THERM muOut1

Figure 10a THERM muOut3

Figure 10a THERM muOut6

Figure 10b ALICE

Figure 10b THERM muOut0

Figure 10b THERM muOut1

Figure 10b THERM muOut3

Figure 10b THERM muOut6

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