## Interactions of High Energy Particles with NucleiNational Bureau of Standards, 1975 - 69 pages |

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... additivity of the potentials V = Σ V11 j = 1 we recover

... additivity of the potentials V = Σ V11 j = 1 we recover

**additivity of phase**shifts . There are many simplifications made in obtaining the fundamental formula ( 2.1 ) ; the reliability of this formula is of primary importance . The most ... Page 6

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**additivity of phase**shifts - hence the Glauber model : But when K # 0 the principle of**additivity of phase**shifts breaks down . Let us consider this case in more detail . a dz From the equation - i + eV - Kß ( Σ1 · В1 - iα1 • E1 ) ... Page 7

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**additivity**principle is violated : a1 and a2 generated by two sources of the elec- tromagnetic field ( at two different positions ) are , in general , noncommuting operators and there is no way of adding**phase**shifts ( or , equivalently ... Page 8

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**additivity of phase**shifts . In general the additivity does not occur . Take , e.g. , pure Coulomb scattering ( B = 0 , V = Coulomb potential ) in eq ( 2.5 ) : ax -i- dz where = ax . We have to diagonalize the matrix of eq ( 2.5 ) ... Page 9

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**additivity of phase**shifts " is also violated . Let us consider a vector particle ( hence a very relevant kind of ...**additivity of phase**shifts only in the case = 1 . 2. In all the other cases ( including = 0 ) , there is no**additivity**...### Common terms and phrases

absorption additivity of phase anomalous magnetic moment Ãº 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