Interactions of High Energy Particles with NucleiNational Bureau of Standards, 1975 - 69 pages |
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Page 3
... ( iA + b ) × { 1 - exp [ Σx ; ( b − j ; ) ] } ¥ , ( r1 . . . r △ ) ik = 27 db exp ( iA.b ) d [ dr ... ... d3rAY * 2π ادر where ; and Y , are the initial and final wave functions of the target nucleus . Yi , ( 2.1 ) One can produce many ...
... ( iA + b ) × { 1 - exp [ Σx ; ( b − j ; ) ] } ¥ , ( r1 . . . r △ ) ik = 27 db exp ( iA.b ) d [ dr ... ... d3rAY * 2π ادر where ; and Y , are the initial and final wave functions of the target nucleus . Yi , ( 2.1 ) One can produce many ...
Page 4
... ( b , z ) exp exp ( − : S_dzV ( b , 2 ' ) ) d2b exp ( iA.b ) [ ** ik = 1 db exp ( ia - b ) [ 1- exp ( − ̄_dz'V ( b , 2 ' ) ) ] ,十三- A = k - k ' . 81 2π We can see that from the additivity of the potentials A V = Σ Vj , j = 1 we ...
... ( b , z ) exp exp ( − : S_dzV ( b , 2 ' ) ) d2b exp ( iA.b ) [ ** ik = 1 db exp ( ia - b ) [ 1- exp ( − ̄_dz'V ( b , 2 ' ) ) ] ,十三- A = k - k ' . 81 2π We can see that from the additivity of the potentials A V = Σ Vj , j = 1 we ...
Page 5
... ia • ▽ + eV − Kß ( ± · B − i a • E ) + ßm ] 4 . at a The time dependence of e - iEt implies i → E and we have at E ¥ = [ − α • ▽ + ßm− Kß ( Σ • B − ia · E ) + eV ] ↓ = eik2 = exp ( iz√E2 — m2 ) ❤ → eiEzq , Inserting this ...
... ia • ▽ + eV − Kß ( ± · B − i a • E ) + ßm ] 4 . at a The time dependence of e - iEt implies i → E and we have at E ¥ = [ − α • ▽ + ßm− Kß ( Σ • B − ia · E ) + eV ] ↓ = eik2 = exp ( iz√E2 — m2 ) ❤ → eiEzq , Inserting this ...
Page 6
... ( b , 2 ' ) ) , 22 [ d3rī svoеV ( b , 2 ) , where = u ( k ' ) exp ( iEz + iA . b ) , we get m f · .00 z ) 91x ( k ' , k ) = " " , û ( k ' ) rou ( k ) i ƒ db exp ( i △ -b ) [ 1 - exp ( -ie [ * dz V ( b , 2 ) ) ] M f ** 81 2π ū . So , in this ...
... ( b , 2 ' ) ) , 22 [ d3rī svoеV ( b , 2 ) , where = u ( k ' ) exp ( iEz + iA . b ) , we get m f · .00 z ) 91x ( k ' , k ) = " " , û ( k ' ) rou ( k ) i ƒ db exp ( i △ -b ) [ 1 - exp ( -ie [ * dz V ( b , 2 ) ) ] M f ** 81 2π ū . So , in this ...
Page 8
... ( B = 0 , V = Coulomb potential ) in eq ( 2.5 ) : ax -i- dz = ax . We have to diagonalize the matrix of eq ( 2.5 ) ... exp ( ia - b ) [ 1– exp ( -ie [ ** dz V ( b , z ) + i + if ** dza ( b , z ) > ) } } Xi , where 0 , -i ( x - iy ) V ' ( r ) ...
... ( B = 0 , V = Coulomb potential ) in eq ( 2.5 ) : ax -i- dz = ax . We have to diagonalize the matrix of eq ( 2.5 ) ... exp ( ia - b ) [ 1– exp ( -ie [ ** dz V ( b , z ) + i + if ** dza ( b , z ) > ) } } Xi , where 0 , -i ( x - iy ) V ' ( r ) ...
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absorption additivity of phase anomalous magnetic moment ú approximately assume attenuation b+½s beam Bureau of Standards coherent diffractive production collision Compton scattering compute Coulomb interactions Czyż d³r 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 γν Σ Σ