Abstract
We propose a novel measure of chaotic scattering amplitudes. It takes the form of a log-normal distribution function for the ratios of (consecutive) spacings between two (consecutive) peaks of the scattering amplitude. We show that the same measure applies to the quantum mechanical scattering on a leaky torus as well as to the decay of highly excited string states into two tachyons. Quite remarkably, the obey the same distribution that governs the nontrivial zeros of Riemann function.
- Received 12 September 2022
- Revised 10 November 2022
- Accepted 8 December 2022
DOI:https://doi.org/10.1103/PhysRevLett.129.261601
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society