Proton spin decomposition via QCD sum rules
HyungJoo Kim (International Institute for Sustainability with Knotted Chiral Meta Matter (WPI-SKCM)
; Philipp Gubler (Advanced Science Research Center, Japan Atomic Energy Agency, Tokai, Ibaraki 319-1195, Japan)
; Chihiro Sasaki (International Institute for Sustainability with Knotted Chiral Meta Matter (WPI-SKCM, Institute of Theoretical Physics, University of Wrocław, plac Maksa Borna 9, PL-50204 Wrocław, Poland)
We present a novel approach for investigating the spin structure of hadrons based on the two-point function in quantum field theory. In a rotating frame, we derive two independent expressions of the two-point function and identify their equivalence, which allows for a complete decomposition of the total spin of a composite system into the angular momenta of its constituent particles. Applying this approach to the proton, we analyze its spin structure in the massless quark limit. Our results indicate that the quark spin contribution accounts for approximately 27% of the total proton spin at a low-energy scale, significantly deviating from the prediction of the non-relativistic quark model.