Pion gravitational form factors in an algebraic rainbow-ladder model

Abstract

Within rainbow-ladder truncation, we identify three contributions to the pion's gravitational form factors---graviton coupling to the quark, to the gluon dressing the quark, and to the gluon binding the pion---and separate them into quark and gluon parts. Using an algebraic quark model with a dynamical basis, we obtain $A(0)=1$, $D(0)=-1$ in the chiral limit, and momentum fractions $⟨x{⟩}_q=0.896$, $⟨x{⟩}_g=0.104$. The D-term obeys the same partition at the model scale.

arXiv comment6 pages, 1 figure