Numerical Partial-Wave Yukawa Scattering for the Mirror-Coupled Dark Sector: Verified Mathematical Benchmark and Reproducibility Supplement (v0.2)
- 1GoodShyt Group Inc.
Abstract
Version 0.2 — Computational validation supplement — Not peer reviewed.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).
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BibTeX
@misc{watts2026numerical,
title = {{Numerical Partial-Wave Yukawa Scattering for the Mirror-Coupled Dark Sector: Verified Mathematical Benchmark and Reproducibility Supplement (v0.2)}},
author = {Deonté Watts},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23496975},
url = {https://zenodo.org/records/23496975},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Numerical Partial-Wave Yukawa Scattering for the Mirror-Coupled Dark Sector: Verified Mathematical Benchmark and Reproducibility Supplement (v0.2)
AU - Deonté Watts
PY - 2026
DA - 2026/10/20
PB - Zenodo
DO - 10.5281/zenodo.23496975
UR - https://zenodo.org/records/23496975
AB - Version 0.2 — Computational validation supplement — Not peer reviewed.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).
ER -