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 analysis approximately assume attenuation beam coherent collision complete components compute consider contribution corrections Coulomb Coulomb interactions coupling cross section db exp db exp i▲·b depend describe deuteron diffractive production processes discussed effects elastic scattering elastic scattering amplitude equation example excited existence experimental experiments expression fact factor field final formula forward given gives Glauber ground hadrons Hence high energy limit important incident particle inelastic initial Institute interactions introduce magnetic mass measurement momentum transfer multiple scattering Note nuclear nuclear targets nuclei nucleon numbers objects obtained parameters phase shifts photon photoproduction physical position possible problem profiles regeneration shadowing single Standards step strong structure technical vector meson wave function weak