Accessing the Island of Stability via Tauon-Catalyzed Fusion in Relativistic Laser-Plasmas

This repository contains the source code, simulation data, and the manuscript "Accessing the Island of Stability via Tauon-Catalyzed Fusion in Relativistic Laser-Plasmas." Scientific Context The synthesis of superheavy elements (SHE) on the Island of Stability (Z ≈ 114--128) is currently limited by the extreme Coulomb repulsion of high-Z nuclei and the "Neutron Gap." This project provides a theoretical validation for Tauon-Assisted Fusion, a mechanism that utilizes the deep-bound states of the tau lepton (m_τ ≈ 1777 MeV) to electrostatically screen the nuclear charge from within the core. Computational Framework The included Python software (SHE_Synthesis.py) implements a relativistic effective-mass Hamiltonian solver that rigorously accounts for: Finite Nuclear Size (FNS): Using a two-parameter Woods-Saxon potential. High-Order QED Corrections: Including Uehling vacuum polarization, Self-Energy, and Källen-Sabry potentials. Exact Decay Channel Logic: Dynamic calculation of Q-values and neutron separation energies using the Semi-Empirical Mass Formula (SEMF) with shell corrections for the Island of Stability. Repository Contents Fusion (27).pdf: The preprint manuscript. SHE_Synthesis.py: The complete Python simulation code, featuring the "Vast Isotope" generator and Exact Decay Channel solver. Vis_Script.py: The complete Python code to generate Figure 1 and Figure 3. tauon_yield_results_final.csv: The comprehensive data table (506 pathways). fig2_yield_map.png: A heat map showing isotopic yields and fusion for a standard 10,000-shot campaign (~1 week of beam time). It's actually Figure 1, but dw about that. fig3_channels.png: Diagram showing the dependence of neutron evaporation mode on excitation energy. Dependencies Python 3.8+ NumPy SciPy Pandas Keywords: Superheavy Elements, Tauon-Catalyzed Fusion, QED, Island of Stability, Nuclear Physics, Laser-Plasma Interaction, Unbihexium, Element 126 License: MIT License / Creative Commons Attribution 4.0 International