Intrabeam scattering at high energies |
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| Affiliation: | 1. Department of Orthopaedics, Far Eastern Memorial Hospital, No. 21, Sec. 2, Nanya S. Rd., Banciao Dist., New Taipei City 22060, Taiwan;2. College of General Studies, Yuan Ze University, 135 Yuan-Tung Road, Zhongli Dist., Taoyuan City 32003, Taiwan;3. Department of Chemical Engineering and Biotechnology, National Taipei University of Technology, 1, Sec. 3, Zhongxiao E. Rd., Taipei 10608, Taiwan;4. Institute of Biomedical Engineering and Nanomedicine, National Health Research Institutes, No. 35, Keyan Road, Zhunan Town, Miaoli County 35053, Taiwan;5. Graduate School of Biotechnology and Bioengineering, Yuan Ze University, 135 Yuan-Tung Road, Zhongli Dist., Taoyuan City 32003, Taiwan |
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| Abstract: | The growth of a beam of charged particles due to intrabeam scattering is studied in the high energy limit. The variation of the β-functions and the dispersion around the accelerator are included. In the high γ limit, analytical results are found for the horizontal, vertical and longitudinal growth rates. For a lattice consisting only of regular cells, with no insertions, a time invariant is found and the longitudinal and transverse growth rates are simply related. The dependence of the final state of the beam on the final energy is also studied. |
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