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 ...
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absorption additivity analysis approximately assume attenuation beam coherent collision complete components compute consider contribution corrections Coulomb Coulomb interactions coupling cross section db exp db exp i▲·b depend describe deuteron diffractive production processes discussed effects elastic scattering elastic scattering amplitude equation example excited existence experimental experiments expression fact factor field final formula forward given gives Glauber ground hadrons Hence high energy limit important incident particle inelastic initial Institute interactions introduce magnetic mass measurement momentum transfer multiple scattering Note nuclear nuclear targets nuclei nucleon numbers objects obtained parameters phase shifts photon photoproduction physical position possible problem profiles regeneration shadowing single Standards step strong structure technical vector meson wave function weak