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arXiv · 2602.13922

Decoherence, Perturbations and Symmetry in Lindblad Dynamics -- Implications for Diffractive Dissociation

A. Y. Klimenko
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Abstract

We extend a perturbative Dyson-type treatment and discrete-symmetry constraints from the Schrödinger and von Neumann equations to a dephasing Lindblad framework. This work develops further the odd-symmetric formulation involving dual temporal conditions from general dynamical considerations to specific tools of quantum mechanics. Applying the resulting scaling relations to published single- and double-diffractive data in $pp$ and $p\bar{p}$ collisions (ISR, UA4, UA5, CDF, D0, ALICE, and E710), we show that single-diffraction cross sections are well described by a three-parameter fit with a relative RMS deviation of $\sim 4\%$, substantially improving upon conventional approximations that neglect decoherence. The extracted decoherence factor is consistently $ϕ\approx 0.89$, in agreement across SD, DD, and E710-based (direct) estimates, and is naturally interpreted as $ϕ=1$ for CP-invariant dephasing but $ϕ<1$ for CPT-invariant dephasing, favouring the latter.

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A. Y. Klimenko. 2026-05-08. Decoherence, Perturbations and Symmetry in Lindblad Dynamics -- Implications for Diffractive Dissociation. https://doi.org/10.1140/epjc%2Fs10052-026-15689-x

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