Abstract
The ratio of the total and differential cross section for the inelastic positron-nucleus scattering (ē, N)-process to the total (γ, N) -cross section is derived in Born approximation for electric and magnetic dipole transitions. The result agrees with that obtained for the (e, N)-processes.
Using the relativistic Coulomb Eigenfunctions for the continuous spectrum of the positrons, the Coulomb correction, the effect of screening and that of finite nuclear size agree with the (e, N)-process, when the annihilation of positrons with atomic electrons is neglected, and for positron energiesE +1,2 >10 MeV. The effect of finite nuclear size is only calculated in Born approximation. ForE +1,2 ≦2 MeV only the Coulomb correction differs from that obtained for the (e, N)-process. In the angular distribution for the (ē, N)-process there should be no interference of positron waves scattered by different multipoles, where the inelastic scattered positrons are detected. Numerical calculations have been carried out for nuclei withZ=6.29 and 82 and scattering angles ϑ=1°, 132°, 160° and 180° of the positron. This theory can be compared with the experiments in progress by W.C.Barber et al. using positrons for the inelastic scattering process at nuclei. The two-and three-virtual quanta-exchange effect in the (ē, N)-cross section is below 1.3% for positron energies between 10≦E +1 ≦300 MeV, and decreases rapidly for higher energies. This theory is also valied for inelastic scattering processes with positiveμ-mesons at nuclei; one has only to change the mass in the following equations.
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I am very indebted to Prof. W.C.Barber (High-Energy Physics Laboratory, Stanford, Calif.) for pointing out to me the importance of the inelastic positron-nucleus scattering processes.
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Rodenberg, R. Inelastische Positronenstreuung am Atomkern. Z. Physik 166, 439–446 (1962). https://doi.org/10.1007/BF01384177
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DOI: https://doi.org/10.1007/BF01384177