Interactions of High Energy Particles with Nuclei |
From inside the book
Results 1-5 of 9
Page 3
One can also use some arguments based on approximate solutions of the wave equation of the incident particle interacting through potentials with the target particles . For instance , in the case of the Schrödinger equation E ↓ = 2m ...
One can also use some arguments based on approximate solutions of the wave equation of the incident particle interacting through potentials with the target particles . For instance , in the case of the Schrödinger equation E ↓ = 2m ...
Page 4
Take at + iq • ▽ — eV ¥ ° + 1⁄2 Koμ » F » — m ) 4 : + ir • -eVy ° + 1⁄2Ko1Fμm ) = 0 Ο ~ [ - ] - [ 1- απ 8 0 to get ( i — + ia • ▽ ―eV + ß1⁄41⁄2Kσ „ F “ — ßm ) = 0 . με at This equation was worked out in ref . [ 8 ] .
Take at + iq • ▽ — eV ¥ ° + 1⁄2 Koμ » F » — m ) 4 : + ir • -eVy ° + 1⁄2Ko1Fμm ) = 0 Ο ~ [ - ] - [ 1- απ 8 0 to get ( i — + ia • ▽ ―eV + ß1⁄41⁄2Kσ „ F “ — ßm ) = 0 . με at This equation was worked out in ref . [ 8 ] .
Page 5
... i → E and we have at E ¥ = [ − α • ▽ + ßm− Kß ( Σ • B − ia · E ) + eV ] ↓ = eik2 = exp ( iz√E2 — m2 ) ❤ → eiEzq , Inserting this into the Dirac equation and noting · i eiE EeiEz + eEz a Əz = a - ❤ we get Əz ( E → ∞ ) .
... i → E and we have at E ¥ = [ − α • ▽ + ßm− Kß ( Σ • B − ia · E ) + eV ] ↓ = eik2 = exp ( iz√E2 — m2 ) ❤ → eiEzq , Inserting this into the Dirac equation and noting · i eiE EeiEz + eEz a Əz = a - ❤ we get Əz ( E → ∞ ) .
Page 6
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 ' trivial ' dependence on V by substituting ❤ = f - F exp ( -ie [ ' _ dz'V ( z ...
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 ' trivial ' dependence on V by substituting ❤ = f - F exp ( -ie [ ' _ dz'V ( z ...
Page 9
When = 0 the 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 ) .
When = 0 the 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 ) .
What people are saying - Write a review
We haven't found any reviews in the usual places.
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
Bibliographic information
| Title | Interactions of High Energy Particles with Nuclei Volume 139 of NBS monograph |
| Author | Wiesław Czyż |
| Publisher | National Bureau of Standards, 1975 |
| Original from | the University of Michigan |
| Digitized | 21 Nov 2007 |
| Length | 69 pages |
| Export Citation | BiBTeX EndNote RefMan |