Femtoscopic study of coupled-channels <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>N</mml:mi><mml:mi mathvariant="normal">Ξ</mml:mi></mml:mrow></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow></mml:math> interactions
Yuki Kamiya, Kenji Sasaki, Tokuro Fukui, Tetsuo Hyodo, Kenji Morita, Kazuyuki Ogata, Akira Ohnishi, Tetsuo Hatsuda
Abstract
The momentum correlation functions of $S=\ensuremath{-}2$ baryon pairs ($p{\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}$ and $\mathrm{\ensuremath{\Lambda}}\mathrm{\ensuremath{\Lambda}}$) produced in high-energy $pp$ and $pA$ collisions are investigated on the basis of the coupled-channels formalism. The strong interaction is described by the coupled-channels HAL QCD potential obtained by lattice QCD simulations near physical quark masses, while the hadronic source function is taken to be a static Gaussian form. The coupled-channels effect, the threshold difference, the realistic strong interaction, and the Coulomb interaction are fully taken into account for the first time in the femtoscopic analysis of baryon-baryon correlations. The characteristic features of the experimental data for the $p{\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}$ and $\mathrm{\ensuremath{\Lambda}}\mathrm{\ensuremath{\Lambda}}$ pairs at the Large Hadron Collider are reproduced quantitatively with a suitable choice of nonfemtoscopic parameters and the source size. The agreement between theory and experiment indicates that the $N\mathrm{\ensuremath{\Xi}}$ ($\mathrm{\ensuremath{\Lambda}}\mathrm{\ensuremath{\Lambda}}$) interaction is moderately (weakly) attractive without having a quasibound (bound) state.