Pion gravitational form factors in a relativistic theory of composite particles

Abstract

We extend our relativistic theory of electroweak properties of composite systems to describe simultaneously the gravitational form factors of hadrons. The approach is based on a version of the instant-form relativistic quantum mechanics and makes use of the modified impulse approximation. We exploit the general method of the relativistic invariant parametrizaton of local operators to write the energy-momentum tensor of a particle with an arbitrary spin. We use the obtained results to calculate the gravitational form factors of the pion assuming point-like constituent quarks. All but one parameters of our first-principle model were fixed previously in works on electromagnetic form factors. The only free parameter, $D_q$, is a characteristic of the gravitational form factor of a constituent quark. The derived form factors of the pion satisfy the constraints given by the general principles of the quantum field theory of hadron structure. The calculated gravitational form factors and gravitational mean-square radius are in a reasonable agreement with known results.

15 pages RevTeX. V2: no changes but EPS figures converted to PDF for better performance. V3: Discussion extended, results unchanged: version accepted by Phys. Rev. D

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Cited by in corpus (12)

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• Pion gravitational form factors in the QCD instanton vacuum I
• Pion gravitational form factors in the QCD instanton vacuum II
• Quark spin-orbit correlations in the pion meson in light-cone quark model
• Quark spin-orbit correlations in spin-0 and spin-1 mesons using the light-front quark model
• Pion gravitational form factors at large momentum transfer in the instant-form relativistic impulse approximation approach
• A step towards estimation of the neutral-hadron size: the gravitational mass radius of pi0 meson in a relativistic theory of composite particles
• K0 and K+ meson electromagnetic form factors: a nonperturbative relativistic quark model versus experimental, perturbative and lattice Quantum-Chromodynamics results
• Scale-anomaly-induced binding pressure in hadrons
• Scalar-glueball-mediated scale-anomaly dominance of the confining pressure of the pion in holographic QCD