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It has been shown previously [PRD 88 (2013) 093005, arXiv:1310.1770] that anon-perturbative relativistic constituent-quark model for the pi-mesonelectromagnetic form factor allows for a quantitative description of thesoft/hard transition, resulting in the correct Quantum-Chromodynamicalasymptotics, including normalization, from the low-energy data without furtherparameter tuning. This happens universally whenever the constituent-quark massis switched off. The energy range where the transition happens is thereforedetermined by the quark-mass running at intermediate energies and is nottightly constrained theoretically. Here we consider possible ways to pin downthis energy range with coming experimental data. We demonstrate that expectedexperimental uncertainties of the 12-GeV Jefferson-Lab data are larger than thespan of predictions of the model, so these data might be used for testing themodel but not for determination of the soft/hard transition scale. Contrary,the projected Electron-Ion Collider will be capable of pinning down the scale.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Constraining scenarios of the soft/hard transition for the pion  electromagnetic form factor with expected data of 12-GeV Jefferson Lab  experiments and of the Electron-Ion Collider