Can the Pion's Charge Radius be Large?

David N. Levin; Susumu Okubo

doi:10.1103/PhysRevD.6.3149

Can the Pion's Charge Radius be Large?

David N. Levin^* and Susumu Okubo^†

The University of Rochester, Department of Physics and Astronomy, Rochester, New York 14627

^*Address after September 1, 1972: Department of Physics, University of California-Los Angeles, Los Angeles, Calif. 90024.
^†Address between September 1 and December 31, 1972: Research Institute for Fundamental Physics, Kyoto University. Address between January 1 and May 31, 1973: Institute of Theoretical Physics, Göteborg, Sweden.

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Phys. Rev. D 6, 3149 – Published 1 December, 1972

DOI: https://doi.org/10.1103/PhysRevD.6.3149

Abstract

Analyticity has been used to derive dispersive inequalities which bound the spacelike behavior of the pion's charge form factor in terms of the timelike variation of the modulus of the form factor and the $p$ -wave $π π$ scattering phase shift. The large charge radius, suggested by the Serpukhov-UCLA measurement of $π e$ scattering, is only compatible with timelike data which involve a large $p$ -wave $π π$ phase shift just above threshold.

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Physical Review D

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Can the Pion's Charge Radius be Large?

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Can the Pion's Charge Radius be Large?

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