Femtoscopic study of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>S</mml:mi> <mml:mo>=</mml:mo> <mml:mo>−</mml:mo> <mml:mn>1</mml:mn> </mml:math> meson-baryon interaction: <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msup> <mml:mi>K</mml:mi> <mml:mo>−</mml:mo> </mml:msup> <mml:mi>p</mml:mi> </mml:math> , <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>−</mml:mo> </mml:msup> <mml:mi mathvariant="normal">Λ</mml:mi> </mml:math> , and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msup> <mml:mi>K</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:msup> <mml:mi mathvariant="normal">Ξ</mml:mi> <mml:mo>−</mml:mo> </mml:msup> </mml:math> correlations
P. Encarnación, A. Feijoo, V. M. Sarti, À. Ramos
Abstract
We study the femtoscopic correlation functions of meson-baryon pairs in the strangeness <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>S</a:mi> <a:mo>=</a:mo> <a:mo>−</a:mo> <a:mn>1</a:mn> </a:math> sector, employing unitarized s-wave scattering amplitudes derived from the chiral Lagrangian up to next-to-leading order. For the first time, we deliver predictions on the <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:msup> <c:mi>π</c:mi> <c:mo>−</c:mo> </c:msup> <c:mi mathvariant="normal">Λ</c:mi> </c:math> and <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"> <f:msup> <f:mi>K</f:mi> <f:mo>+</f:mo> </f:msup> <f:msup> <f:mi mathvariant="normal">Ξ</f:mi> <f:mo>−</f:mo> </f:msup> </f:math> correlation functions which are feasible to be measured at the Large Hadron Collider. We also demonstrate that the employed model is perfectly capable of reproducing the <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:msup> <i:mi>K</i:mi> <i:mo>−</i:mo> </i:msup> <i:mi>p</i:mi> </i:math> correlation function data measured by the same collaboration, without the need to modify the coupling strength to the <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"> <k:msup> <k:mover accent="true"> <k:mi>K</k:mi> <k:mo stretchy="false">¯</k:mo> </k:mover> <k:mn>0</k:mn> </k:msup> <k:mi>n</k:mi> </k:math> channel, as has been recently suggested. In all cases, the effects of the source size on the correlation are tested. In addition, we present detailed analysis of the different coupled-channel contributions, together with the quantification of the relative relevance of the different terms in the interaction. These calculations require the knowledge of the so-called production weights, for which we present two novel methods to compute them.