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 ($Z \approx 114\text{--}128$) 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 ($m_\tau \approx 1777$ 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