Constraining the $${\overline{\textrm{K}}}{\textrm{N}}$$ coupled channel dynamics using femtoscopic correlations at the LHC
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<jats:title>Abstract</jats:title><jats:p>The interaction of <jats:inline-formula><jats:alternatives><jats:tex-math>$$\textrm{K}^{-}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mtext>K</mml:mtext> <mml:mo>-</mml:mo> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula>with protons is characterised by the presence of several coupled channels, systems like <jats:inline-formula><jats:alternatives><jats:tex-math>$${\overline{\textrm{K}}}^0$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mover> <mml:mtext>K</mml:mtext> <mml:mo>¯</mml:mo> </mml:mover> </mml:mrow> <mml:mn>0</mml:mn> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula>n and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\uppi \Sigma $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>π</mml:mi> <mml:mi>Σ</mml:mi> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> with a similar mass and the same quantum numbers as the <jats:inline-formula><jats:alternatives><jats:tex-math>$$\textrm{K}^{-}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mtext>K</mml:mtext> <mml:mo>-</mml:mo> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula>p state. The strengths of these couplings to the <jats:inline-formula><jats:alternatives><jats:tex-math>$$\textrm{K}^{-}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mtext>K</mml:mtext> <mml:mo>-</mml:mo> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula>p system are of crucial importance for the understanding of the nature of the <jats:inline-formula><jats:alternatives><jats:tex-math>$$\Lambda (1405)$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Λ</mml:mi> <mml:mo>(</mml:mo> <mml:mn>1405</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> resonance and of the attractive <jats:inline-formula><jats:alternatives><jats:tex-math>$$\textrm{K}^{-}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mtext>K</mml:mtext> <mml:mo>-</mml:mo> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula>p strong interaction. In this article, we present measurements of the <jats:inline-formula><jats:alternatives><jats:tex-math>$$\textrm{K}^{-}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mtext>K</mml:mtext> <mml:mo>-</mml:mo> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula>p correlation functions in relative momentum space obtained in pp collisions at <jats:inline-formula><jats:alternatives><jats:tex-math>$$\sqrt{s}~=~13$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msqrt> <mml:mi>s</mml:mi> </mml:msqrt> <mml:mspace /> <mml:mo>=</mml:mo> <mml:mspace /> <mml:mn>13</mml:mn> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> Te, in p–Pb collisions at <jats:inline-formula><jats:alternatives><jats:tex-math>$$\sqrt{s_{\textrm{NN}}}~=~5.02$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msqrt> <mml:msub> <mml:mi>s</mml:mi> <mml:mtext>NN</mml:mtext> </mml:msub> </mml:msqrt> <mml:mspace /> <mml:mo>=</mml:mo> <mml:mspace /> <mml:mn>5.02</mml:mn> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> Te, and (semi)peripheral Pb–Pb collisions at <jats:inline-formula><jats:alternatives><jats:tex-math>$$\sqrt{s_{\textrm{NN}}}~=~5.02$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msqrt> <mml:msub> <mml:mi>s</mml:mi> <mml:mtext>NN</mml:mtext> </mml:msub> </mml:msqrt> <mml:mspace /> <mml:mo>=</mml:mo> <mml:mspace /> <mml:mn>5.02</mml:mn> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> Te. The emitting source size, composed of a core radius anchored to the <jats:inline-formula><jats:alternatives><jats:tex-math>$$\textrm{K}^{+}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mtext>K</mml:mtext> <mml:mo>+</mml:mo> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula>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 <jats:inline-formula><jats:alternatives><jats:tex-math>$${\overline{\textrm{K}}}^0$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mover> <mml:mtext>K</mml:mtext> <mml:mo>¯</mml:mo> </mml:mover> </mml:mrow> <mml:mn>0</mml:mn> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula>n and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\uppi \Sigma $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>π</mml:mi> <mml:mi>Σ</mml:mi> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> inelastic channels on the measured <jats:inline-formula><jats:alternatives><jats:tex-math>$$\textrm{K}^{-}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mtext>K</mml:mtext> <mml:mo>-</mml:mo> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula>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 <jats:inline-formula><jats:alternatives><jats:tex-math>$$\omega $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>ω</mml:mi> </mml:math></jats:alternatives></jats:inline-formula>, 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 <jats:inline-formula><jats:alternatives><jats:tex-math>$$\textrm{K}^{-}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mtext>K</mml:mtext> <mml:mo>-</mml:mo> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula>p interaction indicates that, while the <jats:inline-formula><jats:alternatives><jats:tex-math>$$\uppi \Sigma $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>π</mml:mi> <mml:mi>Σ</mml:mi> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>–<jats:inline-formula><jats:alternatives><jats:tex-math>$$\textrm{K}^{-}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mtext>K</mml:mtext> <mml:mo>-</mml:mo> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula>p dynamics is well reproduced by the model, the coupling to the <jats:inline-formula><jats:alternatives><jats:tex-math>$${\overline{\textrm{K}}}^0$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mover> <mml:mtext>K</mml:mtext> <mml:mo>¯</mml:mo> </mml:mover> </mml:mrow> <mml:mn>0</mml:mn> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula>n channel in the model is currently underestimated.</jats:p>
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- The European Physical Journal C
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The European Physical Journal C 83 (4), 2023-04-28
Springer Science and Business Media LLC