Abstract (data abstract)

The interaction of K$^-$ with protons is characterised by the presence of several coupled channels, systems like $\mathrm{\overline{K}^0 n}$ and $\pi \Sigma$ with a similar mass and the same quantum numbers as the K$^-$p state. The strengths of these couplings to the K$^-$p system are of crucial importance for the understanding of the nature of the $\Lambda(1405)$ resonance and of the attractive K$^-$p strong interaction. In this article, we present measurements of the K$^-$p correlation functions in relative momentum space obtained in pp collisions at $\sqrt{s}$ = 13 TeV, in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV, and (semi)peripheral Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV. The emitting source size, composed of a core radius anchored to the K$^+$p correlation and of a resonance halo specific to each particle pair, varies between 1 and 2 fm in these collision systems. The strength and the effects of the $\mathrm{\overline{K}^0 n}$ and $\pi \Sigma$ inelastic channels on the measured K$^-$p correlation function are investigated in the different colliding systems by comparing the data with state-of-the-art models of chiral potentials. A novel approach to determine the conversion weights $\omega$, necessary to quantify the amount of produced inelastic channels in the correlation function, is presented. In this method, particle yields are estimated from thermal model predictions, and their kinematic distribution from blast-wave fits to measured data. The comparison of chiral potentials to the measured K$^-$p interaction indicates that, while the $\pi \Sigma$-K$^-$p dynamics is well reproduced by the model, the coupling to the $\mathrm{\overline{K}^0 n}$ channel in the model is currently underestimated.

Table 1

Data from Figure 1

10.17182/hepdata.132766.v1/t1

K$^+$p (K$^+$p $\oplus$ K$^-\overline{\mathrm p}$) correlation function in pp collisions at $\sqrt{s}=13$ TeV.
Table 2a

Data from Figure 2 (left panel)

10.17182/hepdata.132766.v1/t2

K$^+$p (K$^+$p $\oplus$ K$^-\overline{\mathrm p}$) correlation function in p-Pb collisions at $\sqrt{s_{\mathrm {NN}}}=5.02 $ TeV (0-20%).
Table 2b

Data from Figure 2 (middle panel)

10.17182/hepdata.132766.v1/t3

K$^+$p (K$^+$p $\oplus$ K$^-\overline{\mathrm p}$) correlation function in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV (20-40%).
Table 2c

Data from Figure 2 (right panel)

10.17182/hepdata.132766.v1/t4

K$^+$p (K$^+$p $\oplus$ K$^-\overline{\mathrm p}$) correlation function in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}} = 5.02$ TeV (40-100%).
Table 3a

Data from Figure 3 (left panel)

10.17182/hepdata.132766.v1/t5

K$^+$p (K$^+$p $\oplus$ K$^-\overline{\mathrm p}$) correlation function in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}} = 5.02$ TeV (60-70%).
Table 3b

Data from Figure 3 (middle panel)

10.17182/hepdata.132766.v1/t6

K$^+$p (K$^+$p $\oplus$ K$^-\overline{\mathrm p}$) correlation function in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}} = 5.02$ TeV (70-80%).
Table 3c

Data from Figure 3 (right panel)

10.17182/hepdata.132766.v1/t7

K$^+$p (K$^+$p $\oplus$ K$^-\overline{\mathrm p}$) correlation function in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}} = 5.02$ TeV (80-90%).
Table 4

Data from Figure 4

10.17182/hepdata.132766.v1/t8

K$^-$p (K$^-$p $\oplus$ K$^+\overline{\mathrm p}$) correlation function in pp collisions at $\sqrt{s}=13$ TeV.
Table 5a

Data from Figure 5 (left panel)

10.17182/hepdata.132766.v1/t9

K$^-$p (K$^-$p $\oplus$ K$^+\overline{\mathrm p}$) correlation function in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}} = 5.02$ TeV (0-20%).
Table 5b

Data from Figure 5 (middle panel)

10.17182/hepdata.132766.v1/t10

K$^-$p (K$^-$p $\oplus$ K$^+\overline{\mathrm p}$) correlation function in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}} = 5.02$ TeV (20-40%).
Table 5c

Data from Figure 5 (left panel)

10.17182/hepdata.132766.v1/t11

K$^-$p (K$^-$p $\oplus$ K$^+\overline{\mathrm p}$) correlation function in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}} = 5.02$ TeV (40-100%).
Table 6a

Data from Figure 6 (left panel)

10.17182/hepdata.132766.v1/t12

K$^-$p (K$^-$p $\oplus$ K$^+\overline{\mathrm p}$) correlation function in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}} = 5.02$ TeV (60-70%).
Table 6b

Data from Figure 5 (middle panel)

10.17182/hepdata.132766.v1/t13

K$^-$p (K$^-$p $\oplus$ K$^+\overline{\mathrm p}$) correlation function in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}} = 5.02$ TeV (70-80%).
Table 6c

Data from Figure 6 (left panel)

10.17182/hepdata.132766.v1/t14

K$^-$p (K$^-$p $\oplus$ K$^+\overline{\mathrm p}$) correlation function in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}} = 5.02$ TeV (80-90%).
Table 7a

Data from Figure 7

10.17182/hepdata.132766.v1/t15

Scaling factor ($\alpha_j $) for $\mathrm{\overline{K}^0 n}$ extracted from the different fits of the K$^-$ p correlation function as a...
Table 7b

Data from Figure 7

10.17182/hepdata.132766.v1/t16

Scaling factor ($\alpha_j $) for $\pi \Sigma$ extracted from the different fits of the K$^-$ p correlation function as a...
Table 8

Correlation from fit to FIG. 4 5 6

10.17182/hepdata.132766.v1/t17

This table shows the correlation coefficient between the $\alpha_{\mathrm{\overline{K}^0 n}}$ and $\alpha_{\pi \Sigma}$ parameters extracted from the different fits to...

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Table 4

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