Pion gravitational form factors at large momentum transfer in the instant-form relativistic impulse approximation approach

Abstract

We extend our relativistic theory of gravitational structure of composite hadrons to obtain the pion gravitational form factors at large momentum transfers. The approach was used in the case of intermediate region of the variable in our preceding works arXiv:2010.11640 and arXiv:2201.04991. The calculation is carried out in the framework of a relativistic composite-particle model complemented by the special relativistic form of impulse approximation. It is found that in the limit of massless and pointlike quarks, the obtained asymptotic expansion coincides with the predictions of perturbative QCD for gravitational pion form factors. The principal contribution to the asymptotics, coinciding with the predictions of QCD, is given by the relativistic effect of spin rotation. In particular, the asymptotics of the D form factor is completely determined by this kinematic effect. Several constraints on the allowed form of gravitational form factors of quarks are derived.

12 pages (revtex), no figures. V2: minor changes, accepted to PRD

References in corpus (13)

• Electron-Ion Collider in China
• Precision Studies of QCD in the Low Energy Domain of the EIC
• Nucleon spin densities in a light-front constituent quark model
• Perturbative Calculations of Gravitational Form Factors at Large Momentum Transfer
• Rigorous constraints on the matrix elements of the energy-momentum tensor
• Deeply virtual Compton scattering cross section at high Bjorken $x_B$
• 2D energy-momentum tensor distributions of nucleon in a large-$N_c$ quark model from ultra-relativistic to non-relativistic limit
• Gravitational form factors and mechanical properties of a quark at one loop in light-front Hamiltonian QCD
• Pion gravitational form factors in a relativistic theory of composite particles
• Relativistic composite-particle theory of the gravitational form factors of pion: quantitative results
• Quark spin-orbit correlations in the pion meson in light-cone quark model
• Asymptotic estimation of some multiple integrals and the electromagnetic deuteron form factors at high momentum transfer
• K0 and K+ meson electromagnetic form factors: a nonperturbative relativistic quark model versus experimental, perturbative and lattice Quantum-Chromodynamics results

Cited by in corpus (3)

• Gravitational form factor $D$ of charmonium from shear stress
• Stress out of charmonia
• A step towards estimation of the neutral-hadron size: the gravitational mass radius of pi0 meson in a relativistic theory of composite particles