Interactions of High Energy Particles with NucleiNational Bureau of Standards, 1975 - 69 pages |
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Page 4
... introduce the electric and magnetic fields ( E , B ) in terms of which 1⁄2KoμF = -21⁄2K ( σ01 Ex + σ02E + 003 E2 ) where Σ = ( 023 , 31 , σ12 ) 023 = [ ] + 21⁄2K ( 023B2 + 031By + 012B2 ) = -Kia E + KΣ.B , συ ] -09-09-09 στ 031 = συ ...
... introduce the electric and magnetic fields ( E , B ) in terms of which 1⁄2KoμF = -21⁄2K ( σ01 Ex + σ02E + 003 E2 ) where Σ = ( 023 , 31 , σ12 ) 023 = [ ] + 21⁄2K ( 023B2 + 031By + 012B2 ) = -Kia E + KΣ.B , συ ] -09-09-09 στ 031 = συ ...
Page 11
... introduce a new variable q ) . z√k2 - d2 + 8.b≈kr- 1 q2r 2 k Remark : eikr i q2r 2 k 2111 eur / d2q exp ( − 1 ) ƒ ( ke 1+ q ) ≈ ‡ ƒ ( k € 1 ) etr . 2rik When the incident wave already has a profile different from unity we get ...
... introduce a new variable q ) . z√k2 - d2 + 8.b≈kr- 1 q2r 2 k Remark : eikr i q2r 2 k 2111 eur / d2q exp ( − 1 ) ƒ ( ke 1+ q ) ≈ ‡ ƒ ( k € 1 ) etr . 2rik When the incident wave already has a profile different from unity we get ...
Page 22
... introduce screening there will be , on the average , a certain fraction of nucleons inaccessible to the incident hadron . Hence the above formula can be applied to a certain " effective " number of nucleons . Indeed one can show ...
... introduce screening there will be , on the average , a certain fraction of nucleons inaccessible to the incident hadron . Hence the above formula can be applied to a certain " effective " number of nucleons . Indeed one can show ...
Page 23
... introduce the transverse component of the c.m. vector r = 1 A 1⁄2 Sj , and the relative coordinates which are not independent any more : s1 = s ; -r , 8 , s ' + r A Ź s ; ' = 0 = 0 . The operator M ( A ; $ 1 ... SA ) = ik f · r : / 2π ...
... introduce the transverse component of the c.m. vector r = 1 A 1⁄2 Sj , and the relative coordinates which are not independent any more : s1 = s ; -r , 8 , s ' + r A Ź s ; ' = 0 = 0 . The operator M ( A ; $ 1 ... SA ) = ik f · r : / 2π ...
Page 24
... introducing a Dirac & function into the amplitudes : ik A M ( A ) = d3b exp ( i △ · b ) [ ď3r1 ...... d3ra ¥ o * ( F1 , · · · xa ) { 1 - ĤI [ 1- ( b- ) ] } 2π XVo ( ri , ... ra ) 8 ( 3 ) ( Στ ) j = 1 This ( 3 ) function eliminates ...
... introducing a Dirac & function into the amplitudes : ik A M ( A ) = d3b exp ( i △ · b ) [ ď3r1 ...... d3ra ¥ o * ( F1 , · · · xa ) { 1 - ĤI [ 1- ( b- ) ] } 2π XVo ( ri , ... ra ) 8 ( 3 ) ( Στ ) j = 1 This ( 3 ) function eliminates ...
Common terms and phrases
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