Interactions of High Energy Particles with NucleiNational Bureau of Standards, 1975 - 69 pages |
From inside the book
Results 11-15 of 22
Page 23
... db exp ( i △ · b ) ƒ d3r | ø ( r ) l2 [ v , ( b − 1⁄2s ) + Yn ( b + 1⁄2s ) - Yр ( b − 1⁄2s ) Yn ( b + 1⁄2s ) ] . In the case of more complicated targets the situation is much more involved and often leads to some serious ...
... db exp ( i △ · b ) ƒ d3r | ø ( r ) l2 [ v , ( b − 1⁄2s ) + Yn ( b + 1⁄2s ) - Yр ( b − 1⁄2s ) Yn ( b + 1⁄2s ) ] . In the case of more complicated targets the situation is much more involved and often leads to some serious ...
Page 33
... expression for Ko , where • + ∞ P.p ( b ) = po dz [ 1+ exp ( ~~ ) ] " . - Rn.p Cn.p The final formula is MKL → KS 0 = 1 ik 22π :) . db exp ( i △ · b ) { exp [ ixño ( b ) ] — exp [ ixà ° ( b ) ] } . The elementary amplitudes can be ...
... expression for Ko , where • + ∞ P.p ( b ) = po dz [ 1+ exp ( ~~ ) ] " . - Rn.p Cn.p The final formula is MKL → KS 0 = 1 ik 22π :) . db exp ( i △ · b ) { exp [ ixño ( b ) ] — exp [ ixà ° ( b ) ] } . The elementary amplitudes can be ...
Page 46
... db exp [ i ( kv— kv ′ ) · b ] { 1— exp [ ixv ( b ) ] } 2π ikr M ( y → V ) is given graphically below 2π = ƒ db exp ( i △ .b ) [ 1 − ( 1 − ( V | г | V ) ) 4 ] . V In the high energy limit ( w → ∞ ) one can also describe this ...
... db exp [ i ( kv— kv ′ ) · b ] { 1— exp [ ixv ( b ) ] } 2π ikr M ( y → V ) is given graphically below 2π = ƒ db exp ( i △ .b ) [ 1 − ( 1 − ( V | г | V ) ) 4 ] . V In the high energy limit ( w → ∞ ) one can also describe this ...
Page 47
... db exp ( i △ · b ) ( V | I | y ) Ê ( 1 − ( V | T | V ) ) 11 , 2π Summing the geometric series we then obtain 1 = 1 M ( Y → V ) = ikr 2π [ db exp ( i △ · b ) [ 1- ( 1- ( V | TV ) ) 4 ] . ( V│T│V ) But ( V│T│Y ) ( V | F | V ) ...
... db exp ( i △ · b ) ( V | I | y ) Ê ( 1 − ( V | T | V ) ) 11 , 2π Summing the geometric series we then obtain 1 = 1 M ( Y → V ) = ikr 2π [ db exp ( i △ · b ) [ 1- ( 1- ( V | TV ) ) 4 ] . ( V│T│V ) But ( V│T│Y ) ( V | F | V ) ...
Page 48
... db exp ( i △ · b ) [ ° dz p ( b , 2 ) e1a¡¡ • ∞ × exp [ − 1⁄220 v4 ( 1−7vx ) [ ̧ ” dz′p ( b , 2 ′ ) ---- where fv , ( 0 ) is the forward production amplitude on one nucleon corresponding to the profile YvŸ . The above formulae can ...
... db exp ( i △ · b ) [ ° dz p ( b , 2 ) e1a¡¡ • ∞ × exp [ − 1⁄220 v4 ( 1−7vx ) [ ̧ ” dz′p ( b , 2 ′ ) ---- where fv , ( 0 ) is the forward production amplitude on one nucleon corresponding to the profile YvŸ . The above formulae can ...
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