Interactions of High Energy Particles with Nuclei |
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Page 2
... is shifted to the position of the jth nucleon : ik fi ( 8 ) = * S ) b dụb exp ( ia.b ) { 1- exp [ ix ; ( b - s ; ) ] } , where k is the momentum of the incident particle in laboratory frame A is the two - dimensional momentum ...
... is shifted to the position of the jth nucleon : ik fi ( 8 ) = * S ) b dụb exp ( ia.b ) { 1- exp [ ix ; ( b - s ; ) ] } , where k is the momentum of the incident particle in laboratory frame A is the two - dimensional momentum ...
Page 3
and assuming that the particle goes through the target so fast that all the nucleons are ' frozen ' at certain positions , we get for the amplitude ik Msi = db ) 2 . l dru ... dor \ , * ( no ... ra ) sa ra ) | < ob exp ( ia.b ) x { 1- ...
and assuming that the particle goes through the target so fast that all the nucleons are ' frozen ' at certain positions , we get for the amplitude ik Msi = db ) 2 . l dru ... dor \ , * ( no ... ra ) sa ra ) | < ob exp ( ia.b ) x { 1- ...
Page 7
In any case , the additivity principle is violated : Q , and Q2 generated by two sources of the electromagnetic field ( at two different positions ) are , in general , noncommuting operators and there is no way of adding phase shifts ...
In any case , the additivity principle is violated : Q , and Q2 generated by two sources of the electromagnetic field ( at two different positions ) are , in general , noncommuting operators and there is no way of adding phase shifts ...
Page 17
Hence 1-1 n ( b , sı ... sa ) 12 gives ( compare the formulae ( 3.5 ) of the standard partial wave analysis ) the production cross section at the impact parameter b = ( 1 + 12 ) / k with all nucleons frozen at the positions sı , ..SA .
Hence 1-1 n ( b , sı ... sa ) 12 gives ( compare the formulae ( 3.5 ) of the standard partial wave analysis ) the production cross section at the impact parameter b = ( 1 + 12 ) / k with all nucleons frozen at the positions sı , ..SA .
Page 43
... je where q is the three momentum transfer and r ; are position vectors of the nucleons in the target nucleus , it gives the following contribution to the total photon - nucleus cross section ( which is proportional to A ) : 4 .
... je where q is the three momentum transfer and r ; are position vectors of the nucleons in the target nucleus , it gives the following contribution to the total photon - nucleus cross section ( which is proportional to A ) : 4 .
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