TY - JOUR
T1 - Measure for Chaotic Scattering Amplitudes
AU - Bianchi, Massimo
AU - Firrotta, Maurizio
AU - Sonnenschein, Jacob
AU - Weissman, Dorin
N1 - Publisher Copyright:
© 2022 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"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.
PY - 2022/12/23
Y1 - 2022/12/23
N2 - We propose a novel measure of chaotic scattering amplitudes. It takes the form of a log-normal distribution function for the ratios rn=δn/δn+1 of (consecutive) spacings δn 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 rn obey the same distribution that governs the nontrivial zeros of Riemann ζ function.
AB - We propose a novel measure of chaotic scattering amplitudes. It takes the form of a log-normal distribution function for the ratios rn=δn/δn+1 of (consecutive) spacings δn 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 rn obey the same distribution that governs the nontrivial zeros of Riemann ζ function.
UR - http://www.scopus.com/inward/record.url?scp=85144606082&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.129.261601
DO - 10.1103/PhysRevLett.129.261601
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C2 - 36608195
AN - SCOPUS:85144606082
SN - 0031-9007
VL - 129
JO - Physical Review Letters
JF - Physical Review Letters
IS - 26
M1 - 261601
ER -