Bremsstrahlung cross-section with screening and Coulomb corrections at high energies |
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| Institution: | 1. LASA, Università degli Studi di Milano and INFN-Milano, via F.lli Cervi 201, I-20090 Segrate, MI, Italy;2. Dipartimento di Fisica, Università di Ferrara and INFN – Ferrara, via Saragat 1, I-44122 Ferrara, Italy;3. Institute for Health and Consumer Protection, Joint Research Centre, European Commission, TP 500, I-21020 Ispra, VA, Italy;4. INFN, Laboratori Nazionali di Legnaro, viale dell׳Università 2, I-35020, Legnaro, PD, Italy;1. INFN Sezione di Milano Bicocca, I-20126 Milano, Italy;2. Università degli Studi dell''Insubria, I-22100 Como, Italy;3. Università degli Studi di Milano Bicocca, I-20126 Milano, Italy;1. Nuclear and Radiation Engineering Department, Alexandria University, Alexandria, Egypt;2. Egyptian Atomic Energy Authority, ETRR-2, Cairo, Egypt;3. Scientific and Technical Consultation Office (SATCO), Cairo, Egypt;1. Center for Free-Electron Laser Science, DESY, Notkestrasse 85, 22607 Hamburg, Germany;2. Hamburg Centre for Ultrafast Imaging, Luruper Chaussee 149, 22761 Hamburg, Germany;3. Institute of Nuclear Physics, Polish Academy of Sciences, Radzikowskiego 152, 31-342 Krakow, Poland;4. Department of Physics, University of Hamburg, Jungiusstrasse 9, 20335 Hamburg, Germany;1. National Metrology Institute of Japan, National Institute of Advanced Industrial Science and Technology, 1-1-1 Umezono, Tsukuba, Ibaraki 305-8568, Japan;2. High Energy Accelerator Research Organization, 1-1 Oho, Tsukuba, Ibaraki 305-0801, Japan |
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| Abstract: | Using analytical formulae which are exact in Born approximation, the doubly differential bremsstrahlung cross-section with form-factor screening is calculated. For the atomic form factor parameters are applied which approximate self-consistent Dirac–Hartree–Fock–Slater calculations. The evaluation of the bremsstrahlung spectrum requires a single numerical integration. The results are superior to the customary Bethe approximation, in particular at the high-energy part of the spectrum. At high energies the screening correction can be added to any Coulomb-corrected cross-section without screening. In the present work, we are using a cross-section calculated by means of Sommerfeld–Maue functions with additional higher-order terms. |
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