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
Wiesław Czyż. Let us consider first the Coulomb corrections for heavy nuclei . One can , in principle , use the individual amplitudes which have Coulomb interactions built into them ( this very tedious cal- culation has been done , e.g. ...
Wiesław Czyż. Let us consider first the Coulomb corrections for heavy nuclei . One can , in principle , use the individual amplitudes which have Coulomb interactions built into them ( this very tedious cal- culation has been done , e.g. ...
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 ...
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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