Glimpse into the pion gravitational form factor
Zanbin Xing, Minghui Ding, Lei Chang
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 $\ensuremath{\pi}\ensuremath{\pi}$ 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.
Topics & Concepts
PionPhysicsForm factor (electronics)GravitationAmplitudeParticle physicsLimit (mathematics)QuarkSymmetry (geometry)Bethe–Salpeter equationQuantum electrodynamicsMathematical physicsTheoretical physicsQuantum mechanicsGeometryMathematicsMathematical analysisQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studiesHigh-Energy Particle Collisions Research