A glimpse into pion gravitational form factor

Abstract

We provide a novel approach to calculate the gravitational form factor of pion under the ladder approximation of the Bethe-Salpeter equation, with contact interactions. Central to this approach is a symmetry-preserving treatment of the dressed $\pi \pi$ amplitude, which shows explicitly the contributions from intrinsic quarks and bound states, the latter being necessary to produce the $D$-term of pion in the soft-pion limit. The approach we provide in this work can be applied to many processes of physical significance.

7 pages, 3 figures

References in corpus (10)

• Sketching the Bethe-Salpeter kernel
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Pion form factor from a contact interaction
• Basic features of the pion valence-quark distribution function
• Gravitational and higher-order form factors of the pion in chiral quark models
• D-term and structure of point-like and composed spin-0 particles
• Emergence of pion parton distributions
• Stability of the pion and the pattern of chiral symmetry breaking
• A symmetry preserving contact interaction treatment of the kaon
• Pion scalar, vector and tensor form factors from a contact interaction

Cited by in corpus (5)

• Empirical Determination of the Pion Mass Distribution
• Forces inside a strongly-coupled scalar nucleon
• Gravitational form factor $D$ of charmonium from shear stress
• Stress out of charmonia
• A contact interaction model for the $\eta$ and ${\eta }^{\prime }$ mesons in a SDE-BSE approach to QCD: masses, decay widths and transition form factors