Charmonium-nucleon femtoscopic correlation function

This study investigates the femtoscopic correlation functions of charmonium-nucleon pairs, utilizing the lattice QCD phase shifts provided by the HAL QCD Collaboration. A “model-independent” formalism is employed to transform scattering phase shifts directly into momentum correlation functions, thereby circumventing the approximations inherent in traditional methods, such as the Lednický-Lyuboshits model. The <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mi>J</a:mi><a:mo>/</a:mo><a:mi>ψ</a:mi><a:mtext>−</a:mtext><a:mi>p</a:mi></a:mrow></a:math> correlation functions, including spin-averaged and partial-wave results, are predicted using near-physical pion mass lattice results. The <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mrow><c:msub><c:mrow><c:mi>η</c:mi></c:mrow><c:mrow><c:mi>c</c:mi></c:mrow></c:msub><c:mtext>−</c:mtext><c:mi>p</c:mi></c:mrow></c:math> correlation function is calculated for the first time. The derived correlation functions provide critical references for future experiments, such as those at the LHC, where high-precision measurements of charmonium-nucleon correlations could unveil valuable insights into nonperturbative QCD dynamics.