A Levinson's theorem for particle form factors

Francesco Rosini; Simone Pacetti

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arXiv · 2604.09207

A Levinson's theorem for particle form factors

Francesco Rosini·Simone Pacetti

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Abstract

We present and demonstrate a version of Levinson's theorem especially dedicated to the asymptotic behavior of form factor phases. Indeed, as required by analyticity, form factors are multi-valued complex functions of a square four-momentum defined in the complex plane with a cut along the positive real axis. Their phases evaluated on the upper edge of this cut, i.e., on the time-like region, tend asymptotically to integer multiples of $\pi$ radians. The Levinson's theorem establishes a univocal relation between such multiples and properties of form factors related to the dynamics of the electromagnetic interaction of the corresponding hadrons.

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Francesco Rosini, Simone Pacetti. 2026-04-10. A Levinson's theorem for particle form factors. https://arxiv.org/abs/2604.09207

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