Decoherence, perturbations and symmetry in Lindblad dynamics: implications for diffractive dissociation

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 pp̄ p 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 ~ 4%, ∼ 4 % , substantially improving upon conventional approximations that neglect decoherence. The extracted decoherence factor is consistently φ ≈ 0.89, ϕ ≈ 0.89 , in agreement across SD, DD, and E710-based (direct) estimates, and is naturally interpreted as φ =1 ϕ = 1 for CP-invariant dephasing but φ <1 ϕ < 1 for CPT-invariant dephasing, favouring the latter.