Interactions of High Energy Particles with Nuclei |
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Page 41
... above proven equalities , that ( assuming the vertices identical , which is the case for forward amplitudes ) M ( b ) - M ( c ) , and that they cancel to a large extent ( they cancel exactly in the forward direction if opp = Opn ) .
... above proven equalities , that ( assuming the vertices identical , which is the case for forward amplitudes ) M ( b ) - M ( c ) , and that they cancel to a large extent ( they cancel exactly in the forward direction if opp = Opn ) .
Page 42
( kv ) ) = 10 , kv )1 O E - Ev 7 Then the photoproduction of V ( on a hadronic target ) has the forward amplitude Ykv | H ' | ky ) M ( 7 -- V ) = ( 0 , kv | tv 10 , kv ) E , -Ev Similarly , the elastic scattering of a high energy photon ...
( kv ) ) = 10 , kv )1 O E - Ev 7 Then the photoproduction of V ( on a hadronic target ) has the forward amplitude Ykv | H ' | ky ) M ( 7 -- V ) = ( 0 , kv | tv 10 , kv ) E , -Ev Similarly , the elastic scattering of a high energy photon ...
Page 43
Similarly , the elastic scattering of a high energy photon ( Compton scattering ) from a hadronic target has the forward amplitude ( 7-7 ) = = ( 0 , kv | tv 10 , kv ) ( ky | H ' | kv > ( kv \ H ' | kr ) ( Ex - Ev ) ( Ey - Ev ) ...
Similarly , the elastic scattering of a high energy photon ( Compton scattering ) from a hadronic target has the forward amplitude ( 7-7 ) = = ( 0 , kv | tv 10 , kv ) ( ky | H ' | kv > ( kv \ H ' | kr ) ( Ex - Ev ) ( Ey - Ev ) ...
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lo denotes the forward value . TT yv Or ( y , hadron ) 4πα Σ kg Im M ( 9 = V ) lo V yu ? V πα dov | M ( 7 -- V ) 10 12 = ( 1 + mva ) ( Im M ( 7 V ) lo ) 2 = dΩ where nu is the ratio of the real to the imaginary part of m ( 9V ) .
lo denotes the forward value . TT yv Or ( y , hadron ) 4πα Σ kg Im M ( 9 = V ) lo V yu ? V πα dov | M ( 7 -- V ) 10 12 = ( 1 + mva ) ( Im M ( 7 V ) lo ) 2 = dΩ where nu is the ratio of the real to the imaginary part of m ( 9V ) .
Page 48
... 2 ) ecid , X exp ( – Ysovx4 ( 1– » vw ) / * dz'p ( b , 2 ) 1 O z where fv , ( 0 ) is the forward production amplitude on one nucleon corresponding to the profile Yvy : The above formulae can also be obtained from the expressions M ...
... 2 ) ecid , X exp ( – Ysovx4 ( 1– » vw ) / * dz'p ( b , 2 ) 1 O z where fv , ( 0 ) is the forward production amplitude on one nucleon corresponding to the profile Yvy : The above formulae can also be obtained from the expressions M ...
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