PreprintCC BY 4.0arXiv
Entropy from inclusive scattering
Abstract
Introduction of probabilities from multiple inclusive cross-sections is studied in the unitary pomeron exchange models with no interaction between the pomerons themselves. Discrepancy is observed between the emerging inelasic cross-section and the one following from unitarity. It diminishes with energy and disappears in the high-energy limit. Probabilities and entropy are calculated numerically. As a function of energy squared s the entropy grows as \ln\ln s rather than as \ln s, contrary to naive predictions. For the BFKL pomeron the entropy abruptly changes its slope in the rapidity region where consistency of the modelis is approximately restored
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BibTeX
@misc{braun2026entropy,
title = {{Entropy from inclusive scattering}},
author = {M. A. Braun},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.12923},
eprint = {2608.12923},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.12923},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Entropy from inclusive scattering
AU - M. A. Braun
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2608.12923
UR - https://arxiv.org/abs/2608.12923
AB - Introduction of probabilities from multiple inclusive cross-sections is studied in the unitary pomeron exchange models with no interaction between the pomerons themselves. Discrepancy is observed between the emerging inelasic cross-section and the one following from unitarity. It diminishes with energy and disappears in the high-energy limit. Probabilities and entropy are calculated numerically. As a function of energy squared s the entropy grows as \ln\ln s rather than as \ln s, contrary to naive predictions. For the BFKL pomeron the entropy abruptly changes its slope in the rapidity region where consistency of the modelis is approximately restored
ER -