Applications of the Feynman-Hellmann theorem in hadron structure

الأصل · EN

The Feynman-Hellmann (FH) relation offers an alternative way of accessing hadronic matrix elements through artificial modifications to the QCD Lagrangian. In particular, a FH-motivated method provides a new approach to calculations of disconnected contributions to matrix elements and high-momentum nucleon and pion form factors. Here we present results for the total nucleon axial charge, including a statistically significant non-negative total disconnected quark contribution of around -5% at an unphysically heavy pion mass. Extending the FH relation to finite-momentum transfers, we also present calculations of the pion and nucleon electromagnetic form factors up to momentum transfers of around 7-8 GeV². Results for the nucleon are not able to confirm the existence of a sign change for the ratio Gₑ/Gₘ, but suggest that future calculations at lighter pion masses will provide fascinating insight into this behaviour at large momentum transfers.