Elementary Nuclear Theory Second Edition

This compact treatment of the basic theory of nuclear forces, structures, and reactions bases its explanations almost entirely on the familiar results of nonrelativistic quantum theory. Suitable for advanced undergraduates and graduate students, it presents careful and concise discussions of experimental ideas. The three-part treatment begins with the descriptive theory of nuclei, covering basic facts, including size, spins and statistics, and beta-disintegration and the neutrino. The second part explores quantitative theory of nuclear forces, and the final section examines complex nuclei and beta-decay. 1956 ed.

A. DESCRIPTIVE THEORY OF NUCLEI

1

(32)

I. Basic Facts about Nuclei

1

(6)

II. The Size of Nuclei

7

(7)

A. Methods of Determining Size

7

(5)

B. Conclusions Regarding the. Constituents of Nuclei

12

(2)

III. ΒDisintegration (Descriptive)

14

(3)

A. Stability of Isobars

15

(1)

B. Application to Nuclear Abundance

16

(1)

IV. Further Facts on Nuclear Disintegrations

17

(2)

A. γRays

17

(1)

B. Summary of Decay Processes

17

(2)

V. Spin and Statistics

19

(6)

A. Spin and Its Measurement

19

(1)

B. Statistics

20

(2)

C. Nuclei of Nonzero Spin

22

(3)

VI. βDisintegration and the Neutrino

25

(4)

A. Distribution of Electron Energies

25

(1)

B. Experimental Evidence for the Neutrino

26

(3)

VII. πMesons and Others

29

(4)

A. Charged π-Mesons

30

(1)

B. Neutral π-Mesons

30

(1)

C. μMesons

30

(1)

D. Other Mesons

31

(2)

B. QUANTITATIVE THEORY OF NUCLEAR FORCES

33

(124)

VIII. Physical Properties of Proton, Neutron, and Deuteron

33

(9)

A. Proton

34

(1)

B. Neutron

35

(1)

C. Deuteron

36

(3)

D. Nonadditivity of the Nucleon Moments

39

(3)

IX. Ground State of the Deuteron

42

(8)

A. Binding Energy

42

(2)

B. Wave Equation

44

(3)

C. Excited States of the Deuteron

47

(3)

X. Scattering of Neutrons by. Free Protons

50

(12)

A. Phase Shifts as a Function of Angular Momentum

51

(1)

B. Spherical Symmetry of Scattering

52

(1)

C. Total Cross Section

53

(1)

D. Scattering Length

54

(1)

E. Effective Range

55

(3)

F. Experimental Results on Neutron-Proton Scattering

58

(1)

G. Singlet State of the Deuteron

59

(3)

XI. Effects of Molecular Binding; Coherent Scattering

62

(13)

A. Effects of Binding of Proton in Molecules

62

(2)

B. Coherent Scattering and Its Measurement

64

(8)

C. Results of Low-Energy Scattering Experiments

72

(3)

XII. Interaction of the Deuteron with Radiation

75

(10)

A. Photodisintegration

75

(4)

B. Experiments on Photodisintegration

79

(2)

C. Capture of Neutrons by Protons

81

(2)

D. Interaction and Mesonic Effects

83

(1)

E. Photoeffect and the Potential Parameters

83

(2)

XIII. Scattering of Protons by Protons

85

(13)

A. Theory of ProtonProton Scattering

86

(4)

B. EffectiveRange Theory; ProtonProton Scattering

90

(4)

C. Experiments on ProtonProton Scattering

94

(2)

D. Equivalence of NeutronProton and ProtonProton Forces

96

(2)

XIV. NonCentral Forces

98

(10)

A. States of the Deuteron

99

(7)

B. NeutronProton Scattering

106

(1)

C. Photodisintegration and Neutron Capture by Protons

106

(2)

XV. Saturation of Nuclear Forces

108

(11)

A. Exchange Forces

109

(3)

B. Spin and Isotopic Spin

112

(3)

C. Charge Independence

115

(4)

XVI. Nucleon Scattering at High Energies

119

(14)

A. Neutron-Proton Scattering

120

(5)

B. Proton-Proton Scattering

125

(1)

C. Inelastic Proton-Proton Scattering

126

(2)

D. Charge Independence

128

(1)

E. The Nucleon Core

129

(2)

F. Phase-Shift Analysis

131

(1)

G. Conclusions

132

(1)

XVII. Polarization of Nucleons

133

(14)

A. Quantum Mechanics of Polarized Beams

133

(3)

B. The Scattering Matrix

136

(3)

C. Measurement of Polarized Beams

139

(4)

D. Experiments with Polarized Neutrons

143

(4)

XVIII. Sketch of the Meson Theory of Nuclear Forces

147

(10)

A. Charged and Neutral Mesons; Symmetric Theory

149

(3)

B. Scalar and Pseudoscalar Mesons

152

(2)

C. Coupling of Pseudoscalar Meson and Nucleon

154

(3)

C. COMPLEX NUCLEI. βDECAY

XIX. The Structure of Nuclei

157

(20)

A. The Liquid Drop; Semi-empirical Energies

157

(3)

B. The Fermi Gas

160

(2)

C. The Shell Model

162

(11)

D. The Collective Nuclear Model

173

(4)

XX. Nuclear Reactions and Scattering

177

(40)

A. Elastic and Total Cross Sections

177

(2)

B. Resonances and the Dispersion Formula

179

(7)

C. Observations on Resonances

186

(4)

D. The Compound Nucleus

190

(10)

E. Density of Nuclear Energy Levels—Nuclear Temperature

200

(2)

F. The Optical Model

202

(6)

G. High-Energy Reactions

208

(1)

H. Emission and Absorption of γRays

209

(8)

XXI. βDisintegration

217

(17)

A. Allowed Transitions

219

(3)

B. Lifetimes in Allowed Transitions

222

(3)

C. Lifetimes in Forbidden Transitions

225

(1)

D. Fermi and Gamow-Teller Selection Rules

226

(4)

E. Electron Capture

230

(1)

F. Neutrino and Antineutrino

231

(3)

Some Numerical Relations

234

(2)

Appendix: Table of Nuclear Species

236

(29)

Author Index

265

(4)

Subject Index

269

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Elementary Nuclear Theory Second Edition

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