Charmonium-nucleon femtoscopic correlation function
Zhi-Wei Liu, Di Ge, Jun-Xu Lu, Ming-Zhu Liu, Li‐Sheng Geng
Abstract
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.