The Entanglement of Elastic and Inelastic Scattering

• URL: http://arxiv.org/abs/2306.14800v1
• Date: Mon, 26 Jun 2023 16:02:26 GMT
• Title: The Entanglement of Elastic and Inelastic Scattering
• Authors: Gerald A. Miller
• Abstract summary: A new measure of entanglement, the scattering entropy, is suggested. The amount of entanglement is found to track with the strength of the inelastic interaction. An analysis of high-energy $pp$ scattering data shows that entanglement is near maximum for lab energies greater than about 1 GeV.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The entanglement properties of systems in which elastic and inelastic reactions occur in projectile-target interactions is studied. A new measure of entanglement, the scattering entropy, based on the unitarity of the $S-$matrix (probability conservation), is suggested. Using simple models for both low- and high-energy interactions, the amount of entanglement is found to track with the strength of the inelastic interaction. The familiar example of the classical ``black disk", total absorption, model is found to correspond to maximum entanglement. An analysis of high-energy $pp$ scattering data shows that entanglement is near maximum for lab energies greater than about 1 GeV, showing that the total absorption model is a reasonable starting point for understanding the data.

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