A step towards estimation of the neutral-hadron size: the gravitational mass radius of pi0 meson in a relativistic theory of composite particles

Abstract

We extend our nonperturbative essentially relativistic approach, elaborated previously, to perform an approximate estimation of the size of pi0 meson. We present detailed argumentation for choosing the mass mean square radius (MSR) for this purpose. Its value calculated in our approach, using three model quark-antiquark wave functions in pion, is (0.5-0.53) fm. The neutral-pion electromagnetic form factor is zero in accordance with the charge-conjugation symmetry. We demonstrate ambiguities encountered when using standard definitions of mechanical MSR for the size. We discuss MSRs obtained in various approaches and their comparison with each other and with our results.

12 revtex pages, 2 figures. V2: minor changes, version accepted by PRD

References in corpus (19)

• Electron-Ion Collider in China
• Defining the Proton Radius: a Unified Treatment
• Gluon gravitational structure of hadrons of different spin
• Gravitational form factors of the proton from lattice QCD
• Charge Distributions of Moving Nucleons
• Precision Studies of QCD in the Low Energy Domain of the EIC
• Gravitational form factors of light mesons
• Ambiguities in the definition of local spatial densities in light hadrons
• Covariant multipole expansion of local currents for massive states of any spin
• 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 $x_B$
• Pion gravitational form factors in a relativistic theory of composite particles
• Empirical Determination of the Pion Mass Distribution
• Stress inside the pion in holographic light-front QCD
• Gravitational form factors of pion from top-down holographic QCD
• Relativistic composite-particle theory of the gravitational form factors of pion: quantitative results
• Pion gravitational form factors at large momentum transfer in the instant-form relativistic impulse approximation approach
• Energy momentum tensor on and off the light cone: exposition with scalar Yukawa theory

Cited by in corpus (2)

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