phenomenon 117.5 The reaction proceeds far below the Coulomb barrier

open in the book · parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:897 · p. 2580

derivation/grounding/testing not yet fully declared

Rests on

depends_on equation 107.2 eq:nuclear-ke2 ¶
depends_on equation 9.93 eq:slt-wkb-coulomb-gamma ¶
depends_on theorem 9.76 Semiclassical transmission through a barrier ¶
- depends_on corollary 9.62 The semiclassical wave ¶
  - depends_on equation 9.62 eq:slt-wkb-ansatz ¶
  - depends_on equation 9.61 eq:slt-wkb-kappa ¶
  - depends_on proposition 9.61 Eikonal and transport equations ¶
    - depends_on equation 9.64 eq:slt-wkb-series ¶
    - depends_on proposition 9.60 Exact Riccati form ¶
      - depends_on equation 9.62 eq:slt-wkb-ansatz ¶ ↺
      - depends_on equation 9.60 eq:slt-wkb-normal-form ¶
      - proves proof ch:07-odes-sturm-liouville@proof-30 ¶
    - proves proof ch:07-odes-sturm-liouville@proof-31 ¶
  - proves proof ch:07-odes-sturm-liouville@proof-32 ¶
- depends_on proposition 9.63 The transport equation is flux conservation ¶
  - depends_on corollary 9.62 The semiclassical wave ¶ ↺
  - proves proof ch:07-odes-sturm-liouville@proof-33 ¶
- depends_on theorem 9.72 Connection formulae ¶
  - depends_on corollary 9.62 The semiclassical wave ¶ ↺
  - depends_on equation 9.79 eq:slt-wkb-airy-ai ¶
  - depends_on equation 9.80 eq:slt-wkb-airy-bi ¶
  - depends_on equation 9.76 eq:slt-wkb-airy-equation ¶
  - depends_on equation 9.74 eq:slt-wkb-airy-scale ¶
  - proves proof ch:07-odes-sturm-liouville@proof-37 ¶
- proves proof ch:07-odes-sturm-liouville@proof-39 ¶
proves proof ch:19-exp-nuclear-transmutation@proof-3 ¶

Supports

tests experiment Cockcroft and Walton: lithium split by accelerated protons ¶
- cites (data) derived bib 3261 Disintegration of Lithium by Swift Protons ¶
- cites (evidence) derived bib 3261 Disintegration of Lithium by Swift Protons ¶ ↺
- cites (method) derived bib 830 Experiments with high velocity positive ions.---(I) Further developments in the method of obtaining high velocity positive ions ¶
- cites (data) derived bib 831 Experiments with high velocity positive ions. II. -The disintegration of elements by high velocity protons ¶
- cites (data) derived bib 831 Experiments with high velocity positive ions. II. -The disintegration of elements by high velocity protons ¶ ↺
- cites (evidence) derived bib 831 Experiments with high velocity positive ions. II. -The disintegration of elements by high velocity protons ¶ ↺
- cites (context) derived bib 3-4 Zur Quantentheorie des Atomkernes ¶
- cites (context) derived bib 3-4 Zur Quantentheorie des Atomkernes ¶ ↺
- cites (context) derived bib 3073 Wave Mechanics and Radioactive Disintegration ¶
- cites (context) derived bib 3073 Wave Mechanics and Radioactive Disintegration ¶ ↺
- cites (context) derived bib 2 Quantum Mechanics and Radioactive Disintegration ¶
- cites (context) derived bib 2 Quantum Mechanics and Radioactive Disintegration ¶ ↺
- … 1 more

Neighborhood

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Edges

type	direction	node	provenance	where
`cites` (data)	→	Disintegration of Lithium by Swift Protons	derived	parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:900
`cites`	→	Zur Quantentheorie des Atomkernes	derived	parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:904
`cites`	→	Wave Mechanics and Radioactive Disintegration	derived	parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:904
`depends_on`	→	eq:nuclear-ke2	declared	parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:905
`depends_on`	→	eq:slt-wkb-coulomb-gamma	declared	parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:905
`depends_on`	→	Semiclassical transmission through a barrier	declared	parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:905
`proves`	←	ch:19-exp-nuclear-transmutation@proof-3	declared	parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:908
`tests`	←	Cockcroft and Walton: lithium split by accelerated protons	declared	parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:541