docs: restructure knowledge base into tree layout + gA extraction module
- 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)
This commit is contained in:
@@ -0,0 +1,29 @@
|
||||
---
|
||||
title: "Nuclear Structure — Overview"
|
||||
date: 2026-05-14
|
||||
tags:
|
||||
- beta-spectrum/nuclear-structure
|
||||
status: active
|
||||
aliases: [Nuclear Theory, Shape Factor, NME]
|
||||
---
|
||||
|
||||
# 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 $g_A$ from shape factor
|
||||
- [[corrections/06-recoil]] — Weak magnetism, induced currents, recoil effects
|
||||
Reference in New Issue
Block a user