Interactions of High Energy Particles with NucleiNational Bureau of Standards, 1975 - 69 pages |
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Page 3
... limit E → ∞ we have to have V ~ EV ' where V ' is energy independent . Otherwise the high energy solution of the Schrödinger equation reduces to the Born approximation . 3 A ¥ + k2 ¥ = ᏙᎲ , 2m h2 ↓ = eik2 ( x , y , z ) , 22 Ay ...
... limit E → ∞ we have to have V ~ EV ' where V ' is energy independent . Otherwise the high energy solution of the Schrödinger equation reduces to the Born approximation . 3 A ¥ + k2 ¥ = ᏙᎲ , 2m h2 ↓ = eik2 ( x , y , z ) , 22 Ay ...
Page 5
... limit E → we have to have ( 1 − αз ) → 0 , ( 1 + α3 ) 24 . . ( 2.2 ) ( 2.3 ) This is because the right - hand side of ( 2.3 ) does not contain the energy , E. We multiply eq ( 2.3 ) from the left by 12 ( 1 + aз ) and get ( note that ...
... limit E → we have to have ( 1 − αз ) → 0 , ( 1 + α3 ) 24 . . ( 2.2 ) ( 2.3 ) This is because the right - hand side of ( 2.3 ) does not contain the energy , E. We multiply eq ( 2.3 ) from the left by 12 ( 1 + aз ) and get ( note that ...
Page 9
... high energy limit whereas in the second case they do not . K One may ask oneself a question : is there any simple way of telling which values of x and x result in decoupling of various spin states in the high energy limit ? The answer ...
... high energy limit whereas in the second case they do not . K One may ask oneself a question : is there any simple way of telling which values of x and x result in decoupling of various spin states in the high energy limit ? The answer ...
Page 10
... high energy limit and for the gyromagnetic ratio g = 2 ( hence when ( 2.7 ) is valid because the definition of g is through the equation M = g ( e / 2m ) S ) the projection of the polarization on the direction of motion is constant ...
... high energy limit and for the gyromagnetic ratio g = 2 ( hence when ( 2.7 ) is valid because the definition of g is through the equation M = g ( e / 2m ) S ) the projection of the polarization on the direction of motion is constant ...
Page 14
... high energy limit . For example , the limit when A and B become very large was considered [ 13 ] ( compare also [ 12 ] ) : lim M = A , B → ∞ = ik if db exp ( i △ b ) [ 1– exp ( −AB [ 2T / d2s ( a ) d2s ( b ) p ( a ) ( s ( a ) ) y ...
... high energy limit . For example , the limit when A and B become very large was considered [ 13 ] ( compare also [ 12 ] ) : lim M = A , B → ∞ = ik if db exp ( i △ b ) [ 1– exp ( −AB [ 2T / d2s ( a ) d2s ( b ) p ( a ) ( s ( a ) ) y ...
Common terms and phrases
absorption additivity of phase anomalous magnetic moment ú approximately assume attenuation beam Bureau of Standards coherent diffractive production collision Compton scattering compute Coulomb interactions Czyż d³r db bJo 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 Απ γν ΦΩ