Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass

• DOI: 10.1103/physrevd.101.094513
• Publication Date: 2020-05-28T21:14:28Z
• Authors: C. Alexandrou; S. Bacchio; M. Constantinou; J. Finkenrath; K. Hadjiyiannakou; K. Jansen; G. Koutsou; H. Panagopoulos; G. Spanoudes
• Keywords: Proton spin crisis; Lattice (music)

We evaluate the gluon and quark contributions to spin of proton using an ensemble gauge configuration generated at physical pion mass. compute all valence sea high accuracy. perform a non-perturbative renormalization for both matrix elements. find that contribution up, down, strange charm quarks intrinsic is $\frac{1}{2}\sum_{q=u,d,s,c}\Delta\Sigma^{q^+}=0.191(15)$ total $\sum_{q=u,d,s,c}J^{q^+}=0.285(45)$. The $J^g=0.187(46)$ yielding $J=J^q+J^g=0.473(71)$ confirming sum. momentum fraction carried by in found be $0.618(60)$ gluons $0.427(92)$, sum which gives $1.045(118)$ rule. All scale scheme dependent quantities are given $\mathrm{ \overline{MS}}$ 2 GeV.