论文标题
平行板之间带电颗粒的超相关束的场。通过图像和应用程序的HL-LHC的方法和应用方法的精确2D解决方案
Fields of an ultra-relativistic beam of charged particles between parallel plates. Exact 2D solutions by the method of images and applications to the HL-LHC
论文作者
论文摘要
E和B场的精确2D分析表达式及其电势由无限制的完美导电板和铁电磁杆之间的相对论带电粒子的线性光束产生。通过从线性电荷图像和复杂空间中的电流图像中求和的磁场序列来获得解决方案。对导体表面E场的正常成分的了解使计算诱导的电荷表面密度成为可能。此外，在从中间平面偏移任意光束的情况下，我们在梁附近的磁场的线性近似值中得出了新的分析表达式。 The mathematical features of exact solutions and limitations for the applicability of linear approximations are specified.The primary goals of the future high-luminosity p-p and heavy-ion LHC programme are the search for yet unobserved effects of physics beyond the SM, searches for rare or low-sensitivity processes in the Higgs sector, and probing in more detail the mechanism of EW symmetry breaking.该程序依赖于加速器的稳定操作。但是，随着光束发光度的增加，发生了许多不稳定现象，特别是在田间发射，从而增强了电子云效应。对于质子梁的情况，我们应用精确的2D溶液来估计未来高光度LHC准直发器的电场激活的电子场发射的强度。计算表明，场发射强度对准直仪表粗糙度非常敏感。另外，从中值路径的相对较小且意外的束位移，约20％的准仪仪半间隙，发射强度增加了1.e+7。这将部分中和光束空间电荷，违反加速动力学并增强不稳定性效应。
Exact 2D analytic expressions for E and B fields and their potentials created by a linear beam of relativistic charged particles between infinite perfectly conductive plates and ferromagnetic poles are derived. The solutions are obtained by summing an infinite sequence of fields from linear charge-images and current-images in complex space. Knowledge of the normal component of the E field on the conductor surface makes it possible to calculate the induced electric charge surface density. In addition, we derive within an improved linear approximation new analytical expressions for fields near the beam in the case of an arbitrary beam offset from the median plane. The mathematical features of exact solutions and limitations for the applicability of linear approximations are specified.The primary goals of the future high-luminosity p-p and heavy-ion LHC programme are the search for yet unobserved effects of physics beyond the SM, searches for rare or low-sensitivity processes in the Higgs sector, and probing in more detail the mechanism of EW symmetry breaking. This programme relies on the stable operation of the accelerator. However, as the beam luminosity increases, a number of destabilizing phenomena occur, in particular field emission, enhancing the electron cloud effect. For the case of a proton beam, we apply the exact 2D solution for estimating the intensity of electron field emission activated by the electric field of the beam in collimators of the future high-luminosity LHC. Calculation shows that the field emission intensity is very sensitive to a collimator surface roughness. In addition, with a relatively small and accidental beam displacement from the median path, about 20% of the collimator half-gap, the emission intensity increases by a factor of 1.E+7. This will partially neutralize the beam space charge, violating acceleration dynamics and enhancing instability effects.
