Interactions of High Energy Particles with NucleiNational Bureau of Standards, 1975 - 69 pages |
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Page 2
... Hence we shall start with the very successful model of such processes : the Glauber model . 2. Description of Multiple Scattering 2.1 . General Remarks To construct the relevant formulae for the theory of multiple scattering one can ...
... Hence we shall start with the very successful model of such processes : the Glauber model . 2. Description of Multiple Scattering 2.1 . General Remarks To construct the relevant formulae for the theory of multiple scattering one can ...
Page 3
... hence , neglecting second derivatives of , we obtain the following equation for 4 : 2ikeika = 24 2m dz h2 Veikzy , 24 - dz = 214 Ve where we have used p = kh , v = Р m The amplitude for the particle to scatter from k to 3.
... hence , neglecting second derivatives of , we obtain the following equation for 4 : 2ikeika = 24 2m dz h2 Veikzy , 24 - dz = 214 Ve where we have used p = kh , v = Р m The amplitude for the particle to scatter from k to 3.
Page 5
... Hence , in the limit E → we have to have ( 1 - α3 ) -0 , ( 1 + α3 ) 24 . . ( 2.2 ) ( 2.3 ) This is because the right - hand side of ( 2.3 ) does not contain the energy , E. We multiply eq ( 2.3 ) from the left by 12 ( 1 + as ) and get ...
... Hence , in the limit E → we have to have ( 1 - α3 ) -0 , ( 1 + α3 ) 24 . . ( 2.2 ) ( 2.3 ) This is because the right - hand side of ( 2.3 ) does not contain the energy , E. We multiply eq ( 2.3 ) from the left by 12 ( 1 + as ) and get ...
Page 6
... hence the Glauber model : But when K # 0 the principle of additivity of phase shifts breaks down . Let us consider this case in more detail . a From the equation - i Əz :) ] + eV - Kẞ ( Σ1 · В1 - iα · E ) = 0 we can eliminate the ...
... hence the Glauber model : But when K # 0 the principle of additivity of phase shifts breaks down . Let us consider this case in more detail . a From the equation - i Əz :) ] + eV - Kẞ ( Σ1 · В1 - iα · E ) = 0 we can eliminate the ...
Page 7
Wiesław Czyż. Hence we have to use a z - ordered product to express x in a compact form : Each infinitesimal step Χ x = { exp ( if dz'a ( x , y , z ) 81 Xi . + x ( z + △ z ) − x ( z ) = iAzK ( 81 ∙ B1 — ¿ 81 · E1σ2 ) x ( ≈ ) , x ( z ...
Wiesław Czyż. Hence we have to use a z - ordered product to express x in a compact form : Each infinitesimal step Χ x = { exp ( if dz'a ( x , y , z ) 81 Xi . + x ( z + △ z ) − x ( z ) = iAzK ( 81 ∙ B1 — ¿ 81 · E1σ2 ) x ( ≈ ) , x ( z ...
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