unzhakov
030ae3e4b9
- 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)
30 lines
1.0 KiB
Markdown
30 lines
1.0 KiB
Markdown
---
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title: "Nuclear Structure — Overview"
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date: 2026-05-14
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tags:
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- beta-spectrum/nuclear-structure
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status: active
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aliases: [Nuclear Theory, Shape Factor, NME]
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---
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# Nuclear Structure Effects in β Decay
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## Overview
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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.
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## Contents
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- [[nuclear-structure/01-shape-factors]] — Shape factor $C(Z,W)$: decomposition, multipole expansion, impulse approximation, induced currents
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## Key Concepts
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- **Shape factor decomposition:** $C(W) = g_V^2 C_V(W) + g_A^2 C_A(W) + g_V g_A C_{VA}(W)$
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- **Forbidden decays:** Nonunique transitions are sensitive to $g_A$ → basis for SSM
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- **sNME:** Small relativistic vector NME — critical for precision but hard to compute
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## Related
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- [[gA-extraction/01-ssm-algorithm]] — How to extract $g_A$ from shape factor
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- [[corrections/06-recoil]] — Weak magnetism, induced currents, recoil effects
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