- Organize into tree structure: corrections/, nuclear-structure/, gA-extraction/, refs/ - Move all correction notes to corrections/ (01-09) - Move nuclear structure to nuclear-structure/ with index - Add gA-extraction/ with SSM algorithm, sNME/ESSM formalism, Tc99 case study, and implementation TODO - Reorganize refs by topic (electromagnetic/, forbidden-decay/) - Update all wikilinks to new paths - Remove radiative_spec.md (code algorithm, not reference) - Lint: all wikilinks verified valid - Comprehensive gA extraction research based on Paulsen et al. (2024) and Song et al. (2025)
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title, date, tags, status, aliases
| title | date | tags | status | aliases | ||||
|---|---|---|---|---|---|---|---|---|
| Nuclear Structure — Overview | 2026-05-14 |
|
active |
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Nuclear Structure Effects in β Decay
Overview
Nuclear structure enters the β spectrum through the shape factor C(Z,W), which encodes how the nuclear wave functions and transition matrix elements modify the spectrum beyond the point-nucleus Coulomb interaction.
Contents
- nuclear-structure/01-shape-factors — Shape factor
C(Z,W): decomposition, multipole expansion, impulse approximation, induced currents
Key Concepts
- Shape factor decomposition:
C(W) = g_V^2 C_V(W) + g_A^2 C_A(W) + g_V g_A C_{VA}(W) - Forbidden decays: Nonunique transitions are sensitive to
g_A→ basis for SSM - sNME: Small relativistic vector NME — critical for precision but hard to compute
Related
- gA-extraction/01-ssm-algorithm — How to extract
g_Afrom shape factor - corrections/06-recoil — Weak magnetism, induced currents, recoil effects