Interactions of High Energy Particles with Nuclei |
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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 Ex = ( f ?
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 Ex = ( f ?
Page 4
Take a tig.7 - eVgo + Y2KowFw » — m ) = 0 0 1 and multiply it by yo : yo = B = ( cVx live - P -m x = ( - ) -C ] Come --8m ) * α to get 0 - 1 0 0 მ . tia.v - eV + 372KowFwv — Bm = 0 . at This equation was worked out in ref . [ 8 ] .
Take a tig.7 - eVgo + Y2KowFw » — m ) = 0 0 1 and multiply it by yo : yo = B = ( cVx live - P -m x = ( - ) -C ] Come --8m ) * α to get 0 - 1 0 0 მ . tia.v - eV + 372KowFwv — Bm = 0 . at This equation was worked out in ref . [ 8 ] .
Page 5
Inserting this into the Dirac equation and noting a -i qiExp = EeiExp + eie : eizp дz ( -1 ) ♡ we get Əz E ( 1 - a3 ) o = [ - ia : v + Bm - KB ( D.B - ia E ) + eV ] . ( 2.3 ) Hence , in the limit Ewe have to have ( 1 - a3 ) 6-0 , ( 1 + ...
Inserting this into the Dirac equation and noting a -i qiExp = EeiExp + eie : eizp дz ( -1 ) ♡ we get Əz E ( 1 - a3 ) o = [ - ia : v + Bm - KB ( D.B - ia E ) + eV ] . ( 2.3 ) Hence , in the limit Ewe have to have ( 1 - a3 ) 6-0 , ( 1 + ...
Page 6
Let us consider this case in more detail . a From the equation -2 + eV – KB ( 2. • B1 - ia . • E ) = 0 we can eliminate the ' trivial tek az [: - ) ] = dependence on V by substituting y dz'V ( x y , z ) R = Fexp ( -ie | « V ( 2 ...
Let us consider this case in more detail . a From the equation -2 + eV – KB ( 2. • B1 - ia . • E ) = 0 we can eliminate the ' trivial tek az [: - ) ] = dependence on V by substituting y dz'V ( x y , z ) R = Fexp ( -ie | « V ( 2 ...
Page 9
When ñ = 0 the equations of motion of such a particle are the so - called Proca equations . If , however , k # 0 some additional terms appear ( as in the case of the Dirac equation with anomalous magnetic moment ) .
When ñ = 0 the equations of motion of such a particle are the so - called Proca equations . If , however , k # 0 some additional terms appear ( as in the case of the Dirac equation with anomalous magnetic moment ) .
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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 |