experiment Cockcroft and Walton: lithium split by accelerated protons
open in the book ·
parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:539
Rests on
-
assumes
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 ¶
-
depends_on
corollary 9.62
The semiclassical wave
¶
-
tests
phenomenon 40.6
Mass–energy equivalence
¶
- depends_on equation 40.4 eq:rdyn-E-p ¶
- proves proof ch:04-relativistic-dynamics@proof-3 ¶
-
tests
phenomenon 117.4
Lithium disintegrates into two alpha particles
¶
- depends_on equation 40.6 eq:rdyn-rest-energy ¶
- depends_on equation 117.17 eq:tmut-lithium ¶
- depends_on equation 117.12 eq:tmut-twobody ¶
- proves proof ch:19-exp-nuclear-transmutation@proof-2 ¶
-
tests
phenomenon 117.5
The reaction proceeds far below the Coulomb barrier
¶
- 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 ¶ ↺
- proves proof ch:19-exp-nuclear-transmutation@proof-3 ¶
Supports
- 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
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
assumes |
→ | Semiclassical transmission through a barrier | declared | parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:542 |
cites
(data) |
→ | Disintegration of Lithium by Swift Protons | derived | parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:668 |
cites
(evidence) |
→ | Disintegration of Lithium by Swift Protons | derived | parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:1050 |
cites
(method) |
→ | Experiments with high velocity positive ions.---(I) Further developments in the method of obtaining high velocity positive ions | derived | parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:1053 |
cites
(data) |
→ | Experiments with high velocity positive ions. II. -The disintegration of elements by high velocity protons | derived | parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:671 |
cites
(data) |
→ | Experiments with high velocity positive ions. II. -The disintegration of elements by high velocity protons | derived | parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:674 |
cites
(evidence) |
→ | Experiments with high velocity positive ions. II. -The disintegration of elements by high velocity protons | derived | parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:1057 |
cites
(context) |
→ | Zur Quantentheorie des Atomkernes | derived | parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:794 |
cites
(context) |
→ | Zur Quantentheorie des Atomkernes | derived | parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:1060 |
cites
(context) |
→ | Wave Mechanics and Radioactive Disintegration | derived | parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:794 |
cites
(context) |
→ | Wave Mechanics and Radioactive Disintegration | derived | parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:1062 |
cites
(context) |
→ | Quantum Mechanics and Radioactive Disintegration | derived | parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:794 |
cites
(context) |
→ | Quantum Mechanics and Radioactive Disintegration | derived | parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:1062 |
cites
(data) |
→ | The AME 2020 atomic mass evaluation (II). Tables, graphs and references* | derived | parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:676 |
tests |
→ | Mass–energy equivalence | declared | parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:541 |
tests |
→ | Lithium disintegrates into two alpha particles | declared | parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:541 |
tests |
→ | The reaction proceeds far below the Coulomb barrier | declared | parts/11-qft-standard-model/19-exp-nuclear-transmutation.tex:541 |