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arXiv · 2601.20816

Elastic phase shift analysis reveals the geometric origin of the residue phase

S. Ceci·R. Omerović·H. Osmanović·M. Uroić·M. Vukšić·B. Zauner
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Abstract

We show that the complex-plane structure of light hadron resonances is governed by a unified geometric framework where the threshold position plays a decisive role. By applying this framework to $\pi\pi$, $\pi K$, and $\pi N$ phase shifts, we show that the residue phase $\theta$ is primarily determined by the geometric phase $\delta_0$ (the angle between pole and real axis seen from the threshold). While vector resonances exhibit excellent alignment with this geometric baseline, scalar resonances show systematic deviations of $10^\circ$--$15^\circ$, which we identify as the dynamical imprint of Adler zeros.

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S. Ceci, R. Omerović, H. Osmanović, M. Uroić, M. Vukšić, B. Zauner. 2026-01-28. Elastic phase shift analysis reveals the geometric origin of the residue phase. https://arxiv.org/abs/2601.20816

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