Bethe H., de Hoffmann F. — Mesons and fields. Volume 2. Mesons :: Электронная библиотека попечительского совета мехмата МГУ

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Bethe H., de Hoffmann F. — Mesons and fields. Volume 2. Mesons

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Название: Mesons and fields. Volume 2. Mesons

Авторы: Bethe H., de Hoffmann F.

Аннотация:

Field theory is a branch of mathematics which studies the properties of fields. A field is a mathematical entity for which addition, subtraction, multiplication and division are well-defined.
Please refer to Glossary of field theory for some basic definitions in field theory.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1955

Количество страниц: 455

Добавлена в каталог: 09.04.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Nuclear forces, two-meson interaction      304—5
Nuclear forces, Yukawa potential      206 300—301 307
Nuclear stars      344
Nucleon-nucleon collision meson production      (see also Multiple meson production)
Nucleon-nucleon collision meson production, from heavier nuclei      340
Nucleon-nucleon collision meson production, isotopic spin classification      336—39
Nucleore      295—96
Nucleore on strong coupling theory      186—92
Omega particle      374 378—79 391—92 394
One-meson diagram      270
Optical theorem      76 78
Pair suppression      (see Pair term)
Pair term and meson scattering      262
Pair term and photon processes      259—62
Pair term and scattering of light      268
Pair term in threshold photoproduotion      262
Pair term, nuclear forces due to      256—57 270 71 302 310 16—19
Pair term, separation from gradiant term      256
Pair term, suppression of      256—62 294 310 316—19 404
Pair term, virtual nucleon type      256 404
Parity of $\tau$ meson      381
Parity of $\theta^{0}$       382
Parity of antineutron      45
Parity of charged mesons      13—17
Parity of neutral mesons      17—19 329—30
Parity, definition of      16 9
Pauli principle      37 38 39 44 165 330 337
Pauli spin matrices.      38
Pauli spinors      224
Phase shifts for $\pi$ meson-nuoleon scattering      (see Scattering of mesons (particularly for theory))
Phase shifts for $\pi$ meson-nuoleon scattering, $T=\frac{1}{2}$ high energy maximum      117—18
Phase shifts for $\pi$ meson-nuoleon scattering, $\Delta=(\delta_{1}-\delta_{2})/k$ values      99—102 109—10
Phase shifts for $\pi$ meson-nuoleon scattering, ambiguity of overall sign      68
Phase shifts for $\pi$ meson-nuoleon scattering, Ashkin graphical method      75—79 87—89 121
Phase shifts for $\pi$ meson-nuoleon scattering, Coulomb interference      70—71 81 89 9 4—95
Phase shifts for $\pi$ meson-nuoleon scattering, D states      63 75 109 111 126—29 131 245—47
Phase shifts for $\pi$ meson-nuoleon scattering, disoussion      108—11 124—26
Phase shifts for $\pi$ meson-nuoleon scattering, enhancement of      53 197
Phase shifts for $\pi$ meson-nuoleon scattering, Fermi — Metropolis solution      121
Phase shifts for $\pi$ meson-nuoleon scattering, formulae for negative mesond      67 82
Phase shifts for $\pi$ meson-nuoleon scattering, formulae for positive mesons      63 66 82 83
Phase shifts for $\pi$ meson-nuoleon scattering, high energy analysis      121—24
Phase shifts for $\pi$ meson-nuoleon scattering, Maniac method      68—69
Phase shifts for $\pi$ meson-nuoleon scattering, Minami ambiguity      75 80
Phase shifts for $\pi$ meson-nuoleon scattering, notation      66—67
Phase shifts for $\pi$ meson-nuoleon scattering, photoproduction connection      182 184
Phase shifts for $\pi$ meson-nuoleon scattering, polarization to resolve ambiguities      74 80—81
Phase shifts for $\pi$ meson-nuoleon scattering, prediction from variational theory      198
Phase shifts for $\pi$ meson-nuoleon scattering, qualitative argument      63
Phase shifts for $\pi$ meson-nuoleon scattering, relation to slow meson capture      99—102 110
Phase shifts for $\pi$ meson-nuoleon scattering, renormalized Tamm — Dahopff theory      251—52
Phase shifts for $\pi$ meson-nuoleon scattering, resonance      (see there)
Phase shifts for $\pi$ meson-nuoleon scattering, results from experiment, high energy      69 107 122
Phase shifts for $\pi$ meson-nuoleon scattering, results from experiment, low energy      85 92 96 99 102 107
Phase shifts for $\pi$ meson-nuoleon scattering, results from experiment, slope near zero      101—2
Phase shifts for $\pi$ meson-nuoleon scattering, S shift as relativistic correction      111
Phase shifts for $\pi$ meson-nuoleon scattering, state theory      252—56
Phase shifts for $\pi$ meson-nuoleon scattering, Yang ambiguity      68 72—74 78 86 91—92 123 183—85
Photoelectric transition      (see Photoproduction of $\pi$ mesons)
Photoproduction from hydrogen double meson production      364
Photoproduction from hydrogen double meson production, $\pi^{+}$ mesons, angular distribution      137 145 55 183
Photoproduction from hydrogen double meson production, $\pi^{+}$ mesons, angular distribution coefficients      152—56
Photoproduction from hydrogen double meson production, $\pi^{+}$ mesons, Chew’s theory      280 82
Photoproduction from hydrogen double meson production, $\pi^{+}$ mesons, Electric quadrupole      174—77 180—81 279—81 287
Photoproduction from hydrogen double meson production, $\pi^{+}$ mesons, Electric-dipole      174—76 180—81
Photoproduction from hydrogen double meson production, $\pi^{+}$ mesons, experimental methods      145
Photoproduction from hydrogen double meson production, $\pi^{+}$ mesons, fraction due to S state      100
Photoproduction from hydrogen double meson production, $\pi^{+}$ mesons, Kroil — Ruderman theory      277—78
Photoproduction from hydrogen double meson production, $\pi^{+}$ mesons, magnetic dipole      174 77 180 279—81 285 287
Photoproduction from hydrogen double meson production, $\pi^{+}$ mesons, P state      174—83
Photoproduction from hydrogen double meson production, $\pi^{+}$ mesons, phenomenological theory      141 44 283—88
Photoproduction from hydrogen double meson production, $\pi^{+}$ mesons, resonance      151 156 176 178—79 181—83 284 287
Photoproduction from hydrogen double meson production, $\pi^{+}$ mesons, Ross’ theory      180—83 274—77
Photoproduction from hydrogen double meson production, $\pi^{+}$ mesons, S state      172 17 6 180
Photoproduction from hydrogen double meson production, $\pi^{+}$ mesons, total cross section      136—37 150 61
Photoproduction from hydrogen double meson production, $\pi^{+}$ mesons, Watson theory      283—88
Photoproduction from hydrogen double meson production, $\pi^{+}$ mesons, weak coupling theory      134 137 145
Photoproduction from hydrogen double meson production, $\pi^{-}$ mesons      364
Photoproduction from hydrogen double meson production, $\pi^{0}$ mesons, angular distribution      139 159 61
Photoproduction from hydrogen double meson production, $\pi^{0}$ mesons, angular distribution coefficients      160
Photoproduction from hydrogen double meson production, $\pi^{0}$ mesons, Chew’s theory      280 282
Photoproduction from hydrogen double meson production, $\pi^{0}$ mesons, effect of magnetic moment      138 39
Photoproduction from hydrogen double meson production, $\pi^{0}$ mesons, electric quadrupole      161 279 281 287
Photoproduction from hydrogen double meson production, $\pi^{0}$ mesons, experimental methods      155—56
Photoproduction from hydrogen double meson production, $\pi^{0}$ mesons, Kroll — Rudertnan theory      279
Photoproduction from hydrogen double meson production, $\pi^{0}$ mesons, magnetic dipole      161 179 279 81 286 287
Photoproduction from hydrogen double meson production, $\pi^{0}$ mesons, P state      170—71 178—79
Photoproduction from hydrogen double meson production, $\pi^{0}$ mesons, phehomenoldgicil theory      141 44 263—88
Photoproduction from hydrogen double meson production, $\pi^{0}$ mesons, predominance of $T=\frac{1}{2}, j=\frac{3}{2}$ state      177—79 280
Photoproduction from hydrogen double meson production, $\pi^{0}$ mesons, resonance      178—83 280 284 287
Photoproduction from hydrogen double meson production, $\pi^{0}$ mesons, Ross’ theory      180—82 275—78
Photoproduction from hydrogen double meson production, $\pi^{0}$ mesons, S state      171 279
Photoproduction from hydrogen double meson production, $\pi^{0}$ mesons, total crpss section      138 156—59
Photoproduction from hydrogen double meson production, $\pi^{0}$ mesons, Watson theory      283 88
Photoproduction from hydrogen double meson production, $\pi^{0}$ mesons, weak coupling theory      135
Photoproduction from hydrogen double meson production, ratio of $\pi^{+}$ to $\pi^{0}$       144 177—79 286
Photoproduction from hydrogen double meson production, S state      172—74
Photoproduction of $\pi$ mesons      (see Photoproduction from specific substances)
Photoproduction of $\pi$ mesons from deuterium, comparison with hydrogen      101 165
Photoproduction of $\pi$ mesons from deuterium, elastic      165—69
Photoproduction of $\pi$ mesons from deuterium, interference of proton and neutron      101 162 166
Photoproduction of $\pi$ mesons from deuterium, ratio of positive to negative mesons      100—101 162—63 278 284
Photoproduction of $\pi$ mesons from helium      169—71
Photoproduction of $\pi$ mesons from neutrons      100—101 165 277 284
Photoproduction of $\pi$ mesons, $\pi$ momentum dependence      142—43
Photoproduction of $\pi$ mesons, angular momentum arguments      141—44
Photoproduction of $\pi$ mesons, Brueckner, Case, and Watdon theory      35 166 67 173 192 93 284
Photoproduction of $\pi$ mesons, catastrophic transition      136
Photoproduction of $\pi$ mesons, Chew’s theory      175 275 279—82
Photoproduction of $\pi$ mesons, classical calculation      139—41
Photoproduction of $\pi$ mesons, coupling constant      173 278—79
Photoproduction of $\pi$ mesons, effect of magnetic moment on      134 166
Photoproduction of $\pi$ mesons, energy momentum relations      132 83
Photoproduction of $\pi$ mesons, Fermi vs. Yang solution      166 183 86
Photoproduction of $\pi$ mesons, Gell — Mann and Watson theory      174—77 179—80 275
Photoproduction of $\pi$ mesons, Kroll and Rudertnan theory      173 260—62 277—79
Photoproduction of $\pi$ mesons, pair suppression hypothesis      260 62
Photoproduction of $\pi$ mesons, photoelectric transition      134
Photoproduction of $\pi$ mesons, polarization of recoil nucleon      81 288
Photoproduction of $\pi$ mesons, ratio of $\pi^{+}$ to $\pi^{-}$       162—65 171
Photoproduction of $\pi$ mesons, ratio of $\pi^{+}$ to $\pi^{0}$       144
Photoproduction of $\pi$ mesons, Ross’ theory      180 83 271—77
Photoproduction of $\pi$ mesons, shaking-off transition      134
Photoproduction of $\pi$ mesons, strong coupling theory, new      165
Photoproduction of $\pi$ mesons, strong coupling theory, old      139—41
Photoproduction of $\pi$ mesons, Tamm — Dancoff formalism      271—77
Photoproduction of $\pi$ mesons, theory near threshold      176—77 277
Photoproduction of $\pi$ mesons, Watson theory      169 282 88
Photoproduction of $\pi$ mesons, weak coupling theory      133—39 172—73
Pi mesons      (see Individual properties)
Plural meson production j      844—45
Polarization and $\pi^{0}$ disintegration      9—13
Polarization in inesdn-nuoleon scattering      79—81
Polarization in photoproduction      81 288
Positronium      13
Production of mesons      (see Electron production of pions Meson-nucleon Multiple Nucleon-nucleon Photoproduction Plural
Projection operator      219
Propagation function      264 257—60 295
Propagation function for nucleon      257
Propagation function, exact and magnetic moment      295
Proton operator      44
Proton, doubly charged      357
Proton, negative      45 357
Proton-proton scattering      36 308 311 320—121
Proton-proton scattering, phase shifts      312
Quadrupole moment      (see Deuteron)
Radiation damping theory      195 212 13 345
Radiative tobpture      (see Capture)
Radiative transitions      141—43 (see also Mesic atoms)
Radius of nucleon in old strong coupling      188 290

Radius of nucleus      (see Mesio atoms nuclear
RANGE      (see ?Effective range)
Rayleigh — Schroedinger perturbation theory      199
Reaction channel      212 231
references      408—34
Relativistic integral equation for meson scattering      (see also Nuclear forces Renormalization Tamm-Dancoff
Relativistic integral equation for meson scattering, asymptotic behavior      234—38
Relativistic integral equation for meson scattering, Bom approximation      228—29
Relativistic integral equation for meson scattering, coupling constant upper limit      237
Relativistic integral equation for meson scattering, differential equation method      238—40
Relativistic integral equation for meson scattering, elimination of singularity      228
Relativistic integral equation for meson scattering, exact vs. Born solution      229 30
Relativistic integral equation for meson scattering, fundamental equation      217 21
Relativistic integral equation for meson scattering, isotopic spin      22—23
Relativistic integral equation for meson scattering, kernel      226
Relativistic integral equation for meson scattering, P state      242—44 251—52
Relativistic integral equation for meson scattering, reduction of wave function      224
Relativistic integral equation for meson scattering, S state numerical solution      240 42
Relativistic integral equation for meson scattering, S state numerical solution, Salpeter method      240 41
Relativistic integral equation for meson scattering, scattering terms      219
Relativistic integral equation for meson scattering, self-energy terms, omission of      221—23
Relativistic integral equation for meson scattering, self-energy terms, singularity of      252
Relativistic integral equation for meson scattering, self-energy terms, special for S states      253
Relativistic integral equation for meson scattering, separability      225—27
Relativistic integral equation for meson scattering, states considered      216—17
Renormalization      (see Magnetic moment Nuclear Relativistic Self-energy Tamm
Renormalization and sign of S phase shift      254—56
Renormalization for $T=j=\frac{1}{2}$ states      252—54
Renormalization for a static field      266
Renormalization of charge      259
Renormalization of coupling constant      209 247
Renormalization of mass      209 247 252
Renormalization of nuoleon propagation function      264
Renormalization, applied to P evaluation      251—52
Renormalization, covariant theory of Cini      248
Renormalization, Dyson’s theory      249—51
Renormalization, fundamental ambiguity      265
Renormalization, noncovariant      247—48
Renormalization, two-meson diagram      255
Renormalization, Visscher’sjfcheory      251—52
Renormalization, zero-meson diagram      2 55
Repulsive core of meson-nucleon force      244—45 270
Repulsive core of nucleon-nucleon force      37 306—12 316 319
Repulsive core of nucleon-nucleon force and heavy mesons      309
Repulsive core of nucleon-nucleon force and high order potentials      309
Repulsive core of nucleon-nucleon force from proton-proton scattering      308
Repulsive core of nucleon-nucleon force in Levy’s theory      306—12
Resonance      69 113—17 121 124 130—31 179 190 198 233 244 321 353—55 361 Photoproduotion Scattering
S events      373 375—76 83—85
Sachs’ phenomenological theory      (see Magnetic moment phenomenological
Scattering length for N-N      17 36
Scattering length for N-P      17 36 37 316
Scattering length for P-P      36 37
Scattering matrix      126
Scattering of $\mu$ mesons      186 191
Scattering of $\pi$ mesons      (see also Phase shifts Relativistic Renormalization Scattering Tamm
Scattering of $\pi$ mesons from carbon      71
Scattering of $\pi$ mesons from deuterium      8 48 81 113—15 167 404
Scattering of $\pi$ mesons, attractive long range potential      109 126 129 131 244—46
Scattering of $\pi$ mesons, Brueckner — Watson theory      61—62 193 215
Scattering of $\pi$ mesons, Chew’s theoty      195—99 230—34
Scattering of $\pi$ mesons, Chew’s theoty, numerical results      198 232—34
Scattering of $\pi$ mesons, Chew’s theoty, variational method      197 230 32
Scattering of $\pi$ mesons, Drell — Henley theory      195
Scattering of $\pi$ mesons, Dysons theory      199 249—51
Scattering of $\pi$ mesons, Estates      126—29 131 245—47
Scattering of $\pi$ mesons, low energy limit      265—70
Scattering of $\pi$ mesons, Low’s theory      406—7
Scattering of $\pi$ mesons, mirror linage sets      81—82
Scattering of $\pi$ mesons, negative energy intermediate states      21
Scattering of $\pi$ mesons, old strong coupling theory      189—91
Scattering of $\pi$ mesons, optical theorem      76 78
Scattering of $\pi$ mesons, recoil nucleon polarization      79—81
Scattering of $\pi$ mesons, relativistic theory, P state results      243
Scattering of $\pi$ mesons, relativistic theory, S state result      241
Scattering of $\pi$ mesons, repulsive core      72 109
Scattering of $\pi$ mesons, resonance theory      130—31
Scattering of $\pi$ mesons, weak coupling theory      21—25
Scattering of $\pi^{+}$ from protons      (see also Phase shifts Relativistic Scattering
Scattering of $\pi^{+}$ from protons, angular distribution      29—35 84 93 119—21 124
Scattering of $\pi^{+}$ from protons, angular distribution coefficients      31—32 120 124
Scattering of $\pi^{+}$ from protons, Coulomb interference      25 31 81 83 85—89 94—95
Scattering of $\pi^{+}$ from protons, experimental data      30 32 84 93 99 120—21 124 405
Scattering of $\pi^{+}$ from protons, resonance cross section      113—14
Scattering of $\pi^{+}$ from protons, resonance fit      130—31
Scattering of $\pi^{+}$ from protons, spin flip      64
Scattering of $\pi^{+}$ from protons, Steinberger solutions      86—89
Scattering of $\pi^{+}$ from protons, total cross section      24 27 87 94 111—14
Scattering of $\pi^{+}$ from protons, total cross section, energy dependence      28
Scattering of $\pi^{+}$ from protons, weak coupling theory      24—25
Scattering of $\pi^{+}$ from protons, weak coupling theory, angular distribution      25
Scattering of $\pi^{+}$ from protons, weak coupling theory, total cross section      24
Scattering of $\pi^{-}$ from protons      (see also Phase shifts Relativistic Scattering
Scattering of $\pi^{-}$ from protons, charge exchange, i.e., $\pi^{-} \rightarrow \pi^{0}$ , angular distribution      25 29—35 84 90 119 121
Scattering of $\pi^{-}$ from protons, charge exchange, i.e., $\pi^{-} \rightarrow \pi^{0}$ , angular distribution coefficients      31—32 84 90 119
Scattering of $\pi^{-}$ from protons, charge exchange, i.e., $\pi^{-} \rightarrow \pi^{0}$ , experimental data      30 32 84 90 96—97 119
Scattering of $\pi^{-}$ from protons, charge exchange, i.e., $\pi^{-} \rightarrow \pi^{0}$ , forward scattering      84 85 90
Scattering of $\pi^{-}$ from protons, charge exchange, i.e., $\pi^{-} \rightarrow \pi^{0}$ , Steinberger solutions      86 91—92
Scattering of $\pi^{-}$ from protons, charge exchange, i.e., $\pi^{-} \rightarrow \pi^{0}$ , tetrahedron method      89
Scattering of $\pi^{-}$ from protons, charge exchange, i.e., $\pi^{-} \rightarrow \pi^{0}$ , total cross section      24 27 29 8
Scattering of $\pi^{-}$ from protons, charge exchange, i.e., $\pi^{-} \rightarrow \pi^{0}$ , zero energy      99—102
Scattering of $\pi^{-}$ from protons, Coulomb interference      25 31 81
Scattering of $\pi^{-}$ from protons, direct, i.e., $\pi^{-} \rightarrow \pi^{-}$       183 102
Scattering of $\pi^{-}$ from protons, direct, i.e., $\pi^{-} \rightarrow \pi^{-}$ , angular distribution      25 29—35 84 119 121
Scattering of $\pi^{-}$ from protons, direct, i.e., $\pi^{-} \rightarrow \pi^{-}$ , angular distribution coefficients      31—32 119
Scattering of $\pi^{-}$ from protons, direct, i.e., $\pi^{-} \rightarrow \pi^{-}$ , experimental data      30 32 84 96 102 119 121
Scattering of $\pi^{-}$ from protons, direct, i.e., $\pi^{-} \rightarrow \pi^{-}$ , Steinberger solutions      86
Scattering of $\pi^{-}$ from protons, direct, i.e., $\pi^{-} \rightarrow \pi^{-}$ , total cross section      24 27 29 87 96—98 102
Scattering of $\pi^{-}$ from protons, direct, i.e., $\pi^{-} \rightarrow \pi^{-}$ , with 1.4 Bev mesons      360—62
Scattering of $\pi^{-}$ from protons, resonanoe cross section      115 117
Scattering of $\pi^{-}$ from protons, sum of $\pi^{-} \rightarrow \pi^{-}$ plus $\pi^{-} \rightarrow \pi^{0}$       114 17 120—21 130—31 404—5
Scattering of $\pi^{-}$ from protons, sum of $\pi^{-} \rightarrow \pi^{-}$ plus $\pi^{-} \rightarrow \pi^{0}$ , second maximum      117
Scattering of $\pi^{-}$ from protons, weak coupling theory      24—25
Scattering of $\pi^{-}$ from protons, weak coupling theory, angular distribution      25
Scattering of $\pi^{-}$ from protons, weak coupling theory, total oross section      24
Scattering of quanta by electrons      21 24 186 265
Scattering of quanta by nucleons      260
Scattering of quanta by protons      288—89
Scattering terms, definition      219
Schroedinger equation      200 201 205 206 217 249 302 306 3081
Schwinger — Jauch-Hu mixture      (see Nuclear forces mixture
Selection rules for $\pi^{0}$ decay      (see Spin of $\pi^{0}$ )
Self-energy      (see also Meson scattering Nuclear Old Relativistic Tamm-Dancoff
Self-energy and finite nucleon size      187
Self-energy correction to nucleon propagation function      257—58
Self-energy of $\pi^{-}$       5
Self-energy of meson      187 221 248 251 309
Self-energy of nucleon      202—4 208 221 248 251 257—58 309
Self-energy of vacuum      221 248
Self-energy of virtual nucleon      253
Self-energy, operator of electron      261
Self-energy, photons      261
Shadow scattering      118
Shaking-off transition      (see Photoproduction of $\pi$ mesons)
Shape function of nucleon      188
Showers      365—66
Sigma particles      374 378 79 387 391—93
Slowing down of $\mu$ mesons      14
Slowing down of $\pi^{-}$ in deuterium      14
Slowing down of $\pi^{-}$ in hydrogen      15
Spin inertia      189
Spin of charged $\tau$ mesons      381
Spin of charged of $\Lambda^{0}$       391
Spin of charged of $\pi^{0}$ mesons      7—8
Spin of charged of $\pi^{\pm}$ , meson      365—66
Spin of charged of $\Sigma^{\pm}$ meson      8—13
Spin of charged of $\theta$       382 392
Spin of charged of K particles      392
Spin-orbit interaction      37 42 65 298
Stars      (see Nuclear stars)

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