8 research outputs found
A Lattice Study of Quark and Glue Momenta and Angular Momenta in the Nucleon
We report a complete calculation of the quark and glue momenta and angular
momenta in the proton. These include the quark contributions from both the
connected and disconnected insertions. The quark disconnected insertion loops
are computed with noise, and the signal-to-noise is improved with
unbiased subtractions. The glue operator is comprised of gauge-field tensors
constructed from the overlap operator. The calculation is carried out on a
quenched lattice at for Wilson fermions with
, and which correspond to pion masses at , and ~MeV, respectively. The chirally extrapolated and quark
momentum/angular momentum fraction is found to be , the
strange momentum/angular momentum fraction is , and that of
the glue is . The previous study of quark spin on the same
lattice revealed that it carries a fraction of of proton spin. The
orbital angular momenta of the quarks are then obtained from subtracting the
spin from their corresponding angular momentum components. We find that the
quark orbital angular momentum constitutes of the proton spin with
almost all of it coming from the disconnected insertions.Comment: Renormalization section is expanded to include more details. There
are slight changes in the final numbers. A few modification and corrections
are made in the rest of the tex