Interactions of High Energy Particles with NucleiNational Bureau of Standards, 1975 - 69 pages |
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Page 3
... equation of the incident particle interacting through potentials with the target particles . For instance , in the case of the Schrödinger equation E ↓ = 2m • ( 22 + V ) v in the limit E → ∞ , 2 and for the incident particle moving ...
... equation of the incident particle interacting through potentials with the target particles . For instance , in the case of the Schrödinger equation E ↓ = 2m • ( 22 + V ) v in the limit E → ∞ , 2 and for the incident particle moving ...
Page 4
... equation was worked out in ref . [ 8 ] . We introduce the electric and magnetic fields ( E , B ) in terms of which 1⁄2KoμF = -21⁄2K ( σ01 Ex + σ02E + 003 E2 ) where Σ = ( 023 , 31 , σ12 ) 023 = [ ] + 21⁄2K ( 023B2 + 031By + 012B2 ) ...
... equation was worked out in ref . [ 8 ] . We introduce the electric and magnetic fields ( E , B ) in terms of which 1⁄2KoμF = -21⁄2K ( σ01 Ex + σ02E + 003 E2 ) where Σ = ( 023 , 31 , σ12 ) 023 = [ ] + 21⁄2K ( 023B2 + 031By + 012B2 ) ...
Page 5
... equation and noting · i eiE EeiEz + eEz a Əz = a - ❤ we get Əz ( E → ∞ ) . E ( 1 - α3 ) = [ - i a • ▽ + ßm - Kẞ ( Σ · B - ia E ) + eV ] ø . Hence , in the limit E → we have to have ( 1 - α3 ) -0 , ( 1 + α3 ) 24 . . ( 2.2 ) ( 2.3 ) ...
... equation and noting · i eiE EeiEz + eEz a Əz = a - ❤ we get Əz ( E → ∞ ) . E ( 1 - α3 ) = [ - i a • ▽ + ßm - Kẞ ( Σ · B - ia E ) + eV ] ø . Hence , in the limit E → we have to have ( 1 - α3 ) -0 , ( 1 + α3 ) 24 . . ( 2.2 ) ( 2.3 ) ...
Page 6
... equation for F : a − i —— F = Kß ( Σ 1 · B1 — îα1 • E1 ) F. Əz • F is a four spinor but we can reduce it to an equation for a two component spinor because F has to satisfy the relation So , F can be taken in the form ( 1 - α3 ) F = 0 ...
... equation for F : a − i —— F = Kß ( Σ 1 · B1 — îα1 • E1 ) F. Əz • F is a four spinor but we can reduce it to an equation for a two component spinor because F has to satisfy the relation So , F can be taken in the form ( 1 - α3 ) F = 0 ...
Page 9
... equations of motion of such a particle are the so - called Proca equations . If , however , # 0 some additional terms appear ( as in the case of the Dirac equation with anomalous magnetic moment ) . With # 0 we have ( in the pseudo ...
... equations of motion of such a particle are the so - called Proca equations . If , however , # 0 some additional terms appear ( as in the case of the Dirac equation with anomalous magnetic moment ) . With # 0 we have ( in the pseudo ...
Common terms and phrases
absorption additivity of phase anomalous magnetic moment ú approximately assume attenuation b+½s beam Bureau of Standards coherent diffractive production collision Compton scattering compute Coulomb interactions Czyż d³r db exp i▲·b deuteron diagonalization diffractive production processes diffractive scattering discussed double scattering elastic scattering amplitude electromagnetic equation example excited experiments factor Feynman diagrams formula four-momentum Glauber model hadrons Hence high energy limit incident particle incident wave inelastic shadowing Interactions of High invariant mass K mesons multiple scattering National Bureau neutrino neutrons ññ Note nuclear matter nuclear targets nuclei nucleon obtained optical theorem parameters phase shifts photon photoproduction of vector physical pion production amplitude profiles quantum numbers regeneration Řº shadowing effects single scattering spin strongly interacting target nucleus total cross section vector meson VMD model wave function γν Σ Σ