Numerical Partial-Wave Yukawa Scattering for the Mirror-Coupled Dark Sector: Verified Mathematical Benchmark and Reproducibility Supplement (v0.2)

Version 0.2 — Computational validation supplement — Not peer reviewed. Evidence status per the package: executed, internally cross-checked nonrelativistic numerical calculations; not externally replicated. In-package CONFIDENTIAL — PROPRIETARY marking waived for public deposit under standing PI approval.

Abstract

The July 2026 Mirror-Coupled Dark Sector (MCDS) theory series by Deonté O'dell Watts proposes a dark fermion interacting through a massive U(1)D vector with a conjectural coupling match αD(μ*) ≃ αEM(μ*). Its benchmark mχ = 10 GeV, mA′ = 35 MeV, αD ≃ 1/137 has κ = αD mχ / mA′ ≃ 2.085 and is outside a conservative weak Born regime. We provide two numerically independent, in-house quantum radial-equation solvers—adaptive Runge–Kutta and fixed-grid Numerov—and compare their phase shifts and transport observables. The resulting calculations are contingent on a single-channel, nonrelativistic Yukawa potential and cannot by themselves adjudicate the proposed coupling equality or astrophysical constraints.

This deposit is a numerical reproducibility supplement and does not overwrite the existing MCDS theory manuscripts. Related theory records are linked below.

Files: benchmark manuscript PDF and full MCDS_Yukawa_PartialWave_Validation_v0_2.zip (solvers, results CSVs, figures, protocol, provenance, preserved source PDFs).