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.

arXiv comment12 pages (revtex), no figures. V2: minor changes, accepted to PRD

References in corpus (31)

• Electron-Ion Collider in China
• The angular momentum controversy: What's it all about and does it matter?
• Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
• Hadron tomography by generalized distribution amplitudes in pion-pair production process ${\gamma }^{\ast }\gamma \to {\pi }^0{\pi }^0$ and gravitational form factors for pion
• Precision Studies of QCD in the Low Energy Domain of the EIC
• Charge form factor of $\pi$ and $K$ mesons
• Nucleon spin densities in a light-front constituent quark model
• Covariant multipole expansion of local currents for massive states of any spin
• Relativistic instant-form approach to the structure of two-body composite systems (short version)
• Relativistic instant-form approach to the structure of two-body composite systems
• On operator relations for gravitational form factors of a spin-0 hadron
• Perturbative Calculations of Gravitational Form Factors at Large Momentum Transfer
• The radius of the rho meson determined from its decay constant
• Rigorous constraints on the matrix elements of the energy-momentum tensor
• Deeply virtual Compton scattering cross section at high Bjorken $x_B$
• The dynamic origins of fermionic D-terms
• On a possible estimation of the constituent--quark parameters from Jefferson Lab experiments on pion form factor
• Charge Form Factors of Quark-Model Pions II
• Relativistic Instant--Form Approach To The Structure Of Two-Body Composite Systems. Nonzero Spin
• Relativistic Instant--Form Approach to the Structure of Two-Body Composite Systems. II. Nonzero Spin
• Gravitational form factors of $\rho$ meson with a light-cone constituent quark model
• 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
• Transition from a relativistic constituent-quark model to the quantum-chromodynamical asymptotics: a quantitative description of the pion electromagnetic form factor at intermediate values of the momentum transfer
• Form Factors of Composite Systems by Generalized Wigner-Eckart Theorem for Poincaré group
• The K-meson form factor and charge radius: linking low-energy data to future high-energy Jefferson Laboratory results
• 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