Interactions of High Energy Particles with Nuclei |
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Page 2
The expression 1 - eix ; ( b ) = y ; ( b ) is called the profile of the jth nucleon , incident particle collision . Assuming x ( b ) = = Σx ; ( b - s ; ) and assuming that the particle goes through the target so 2.
The expression 1 - eix ; ( b ) = y ; ( b ) is called the profile of the jth nucleon , incident particle collision . Assuming x ( b ) = = Σx ; ( b - s ; ) and assuming that the particle goes through the target so 2.
Page 7
... a1 and a2 generated by two sources of the elec- tromagnetic field ( at two different positions ) are , in general , noncommuting operators and there is no way of adding phase shifts ( or , equivalently , multiplying profiles ) .
... a1 and a2 generated by two sources of the elec- tromagnetic field ( at two different positions ) are , in general , noncommuting operators and there is no way of adding phase shifts ( or , equivalently , multiplying profiles ) .
Page 11
2rik When the incident wave already has a profile different from unity we get : incident wave : transmitted wave : g ( x , y ) eikz z g ( x , y ) eik ( 1 - y ( x , y ) ) ( this is all under the assumption z « < L ) .
2rik When the incident wave already has a profile different from unity we get : incident wave : transmitted wave : g ( x , y ) eikz z g ( x , y ) eik ( 1 - y ( x , y ) ) ( this is all under the assumption z « < L ) .
Page 12
... problem because there are experimental pro- jects under way ) . The geometry of the process is shown in figure 3 . 255 O A COMPONENTS ( b ) ( 0 ) O B COMPONENTS The profile describing the collision of two elements is : Yjk ( b ...
... problem because there are experimental pro- jects under way ) . The geometry of the process is shown in figure 3 . 255 O A COMPONENTS ( b ) ( 0 ) O B COMPONENTS The profile describing the collision of two elements is : Yjk ( b ...
Page 15
... η = Ξηι . Optical theorem and unitarity Let us first consider the " elementary " collisions ( whose scattering amplitude is determined by the profile ( b ) ) . As the wave passes a scatterer it gets modified by a factor 1 - y ( b ) ...
... η = Ξηι . Optical theorem and unitarity Let us first consider the " elementary " collisions ( whose scattering amplitude is determined by the profile ( b ) ) . As the wave passes a scatterer it gets modified by a factor 1 - y ( b ) ...
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