1972Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsRequires access

Bounds on the Pion's Charge Radius

D.N. Levin, V. S. Mathur, С. Окубо

Open publisher page 12 citations

Abstract

The strongest possible lower and upper bounds on the electromagnetic radius of the pion are derived in terms of the modulus of the timelike form factor. Numerical evaluation indicates that the radius is bounded above by the vector-dominance value and that the form factor will not behave as a "dipole" until $t={(2E)}^{2}>17$ Ge${\mathrm{V}}^{2}$, if at all. The location and number of possible zeros of the form factor are discussed.

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What this paper is about

The strongest possible lower and upper bounds on the electromagnetic radius of the pion are derived in terms of the modulus of the timelike form factor. Numerical evaluation indicates that the radius is bounded above by the vector-dominance value and that the form factor will not behave as a "dipole" until $t={(2E)}^{2}>17$ Ge${\mathrm{V}}^{2}$, if at all. The location and number of possible zeros of the form factor are discussed.

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Available abstract

The strongest possible lower and upper bounds on the electromagnetic radius of the pion are derived in terms of the modulus of the timelike form factor. Numerical evaluation indicates that the radius is bounded above by the vector-dominance value and that the form factor will not behave as a "dipole" until $t={(2E)}^{2}>17$ Ge${\mathrm{V}}^{2}$, if at all. The location and number of possible zeros of the form factor are discussed.

Key concepts: Charge radius, Pion, Physics, RADIUS, Form factor (electronics), Bounded function, Upper and lower bounds, Dipole

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