Interactions of High Energy Particles with NucleiNational Bureau of Standards, 1975 - 69 pages |
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Page 20
... assume ( for the sake of simplicity ) the independent particle model wave function of the nucleus : 1— exp ( îx . ( b ) ) = ƒ d . ...... .d23⁄4 , A Îμœ ‚ ) { 1– ÎÌ ( 1 − x ( b − s ) } , ( 8 ; ) ர் j = 1 Y p ( s ; ) j = 1 A d2 exp ...
... assume ( for the sake of simplicity ) the independent particle model wave function of the nucleus : 1— exp ( îx . ( b ) ) = ƒ d . ...... .d23⁄4 , A Îμœ ‚ ) { 1– ÎÌ ( 1 − x ( b − s ) } , ( 8 ; ) ர் j = 1 Y p ( s ; ) j = 1 A d2 exp ...
Page 23
... assuming the wave function to be in the form of a product of the c.m. wave function and the internal wave function . M = ( R ( r ) | exp ( i △ ⋅r ) | R ( r ) ) ( Þ 。( rı ′ . . . ra ′ ) | M ′ | Þ 。( rı ′ . . . ra ′ ) ) Ο ... 0 This ...
... assuming the wave function to be in the form of a product of the c.m. wave function and the internal wave function . M = ( R ( r ) | exp ( i △ ⋅r ) | R ( r ) ) ( Þ 。( rı ′ . . . ra ′ ) | M ′ | Þ 。( rı ′ . . . ra ′ ) ) Ο ... 0 This ...
Page 27
... assume that the deformation is defined by the momentum transfer A ) . Then we should replace p ( 8 ) → I ( △ , s ) = [ ** dz po ' * ( △ , 8 , 2 ) do ( 6 , 2 ) and the amplitude is M ( ( A ) = 1 √ α ik d2b d2s eia · bI ( △ , s ) { 1 ...
... assume that the deformation is defined by the momentum transfer A ) . Then we should replace p ( 8 ) → I ( △ , s ) = [ ** dz po ' * ( △ , 8 , 2 ) do ( 6 , 2 ) and the amplitude is M ( ( A ) = 1 √ α ik d2b d2s eia · bI ( △ , s ) { 1 ...
Page 30
... assume known : | { ; ) = Σdij | λ ; ) | Xi ) = Σcij | X ; ) 2 | Xi ) , | X ; ) form orthonormal sets ( 4.1 ) of states . | λ ; ) = Σ Σ c ;; d ; 1 | Mı ) = | λi ) , hence Σcij djr = dil . j So , The states ) are assumed to be eigenstates ...
... assume known : | { ; ) = Σdij | λ ; ) | Xi ) = Σcij | X ; ) 2 | Xi ) , | X ; ) form orthonormal sets ( 4.1 ) of states . | λ ; ) = Σ Σ c ;; d ; 1 | Mı ) = | λi ) , hence Σcij djr = dil . j So , The states ) are assumed to be eigenstates ...
Page 33
... assuming isospin symmetry : ƒK ° n ( 0 ) = ƒk * p ( 0 ) , ƒÃon ( 0 ) = ƒÂ ̄p ( 0 ) , ƒK ° p ( 0 ) = ƒk * n ( 0 ) , fKp ( 0 ) = ƒK ̄n ( 0 ) . The standard way of calculating these amplitudes is : ( i ) the imaginary parts are obtained ...
... assuming isospin symmetry : ƒK ° n ( 0 ) = ƒk * p ( 0 ) , ƒÃon ( 0 ) = ƒÂ ̄p ( 0 ) , ƒK ° p ( 0 ) = ƒk * n ( 0 ) , fKp ( 0 ) = ƒK ̄n ( 0 ) . The standard way of calculating these amplitudes is : ( i ) the imaginary parts are obtained ...
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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