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 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