Interactions of High Energy Particles with NucleiNational Bureau of Standards, 1975 - 69 pages |
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Page 8
... Coulomb scattering ( B = 0 , V = Coulomb potential ) in eq ( 2.5 ) : ax -i- dz = ax . We have to diagonalize the matrix of eq ( 2.5 ) ( compare ref . [ 8 ] ) : 0 — i ( x — iy ) - ( x2 + y2 ) 1/2 0 S - 1 S = \ i ( x + iy ) 0 0 ( x2 + y2 ) ...
... Coulomb scattering ( B = 0 , V = Coulomb potential ) in eq ( 2.5 ) : ax -i- dz = ax . We have to diagonalize the matrix of eq ( 2.5 ) ( compare ref . [ 8 ] ) : 0 — i ( x — iy ) - ( x2 + y2 ) 1/2 0 S - 1 S = \ i ( x + iy ) 0 0 ( x2 + y2 ) ...
Page 9
... Coulomb field ) . The results of a long and involved analysis [ 9 , 10 ] are as follows : 1. We recover the principle of additivity of phase shifts only in the case = 1 . 2. In all the other cases ( including = 0 ) , there is no ...
... Coulomb field ) . The results of a long and involved analysis [ 9 , 10 ] are as follows : 1. We recover the principle of additivity of phase shifts only in the case = 1 . 2. In all the other cases ( including = 0 ) , there is no ...
Page 18
... Coulomb corrections which play an important role in elastic scattering from nuclei of charged hadrons , and ( ii ) the corrections for the c.m. motion which are important for light nuclei but unimportant for heavy ones . Let us consider ...
... Coulomb corrections which play an important role in elastic scattering from nuclei of charged hadrons , and ( ii ) the corrections for the c.m. motion which are important for light nuclei but unimportant for heavy ones . Let us consider ...
Page 19
... Coulomb interactions built into them ( this very tedious cal- culation has been done , e.g. , in refs . [ 16 , 17 ] , but we shall consider the effects produced by the average Coulomb potential produced by the whole nucleus [ 15 ] which ...
... Coulomb interactions built into them ( this very tedious cal- culation has been done , e.g. , in refs . [ 16 , 17 ] , but we shall consider the effects produced by the average Coulomb potential produced by the whole nucleus [ 15 ] which ...
Page 20
... Coulomb point charge amplitude : M = ik = 00 db bJ , ( Ab ) [ 1 − exp ( ix . ” ( b ) ) ] + ik [ * db bJo ( Ab ) exp [ ix . ” ( b ) + ix . ( b ) ] · Mc ( P ) + ik 5 00 0 db bJo ( Ab ) [ exp ( ixeP ( b ) ) — exp ( ixe ( b ) ) ( 1 − r ...
... Coulomb point charge amplitude : M = ik = 00 db bJ , ( Ab ) [ 1 − exp ( ix . ” ( b ) ) ] + ik [ * db bJo ( Ab ) exp [ ix . ” ( b ) + ix . ( b ) ] · Mc ( P ) + ik 5 00 0 db bJo ( Ab ) [ exp ( ixeP ( b ) ) — exp ( ixe ( b ) ) ( 1 − r ...
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