Relativistic Charged Beam Interactions

相对论带电束相互作用

• 批准号: EP/D064449/1
• 负责人: Robin Tucker
• 金额: $ 12.98万
• 依托单位: Lancaster University
• 依托单位国家: 英国
• 项目类别: Fellowship
• 财政年份: 2006
• 资助国家: 英国
• 起止时间: 2006 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FD064449%2F1
• 关键词: Relativistic; Charged; Beam; Interactions

The Large Hadron Collider (LHC) scheduled for operation in 2006-7is planned to explore multi-quark interactions that arise incentral collisions with a proton energy of over a million million electron volts.It may uncover evidence for new particles including scalar fields.However even if developed to higher energies it is unlikely toresolve all the outstanding questions raised by the standard modelof the fundamental interactions. Its colliding constituents(protons) are composites and therefore the beam energy ispartitioned among individual quarks. An alternative is to use adevice that accelerates directly the point-like structure ofleptons and anti-leptons. Indeed such a machine has a well testedpedigree. Most of the detailed precision tests of the standardmodel owe their success to the electron-positron ring collider(LEP) at CERN (Geneva), A new generation of electron/positronlinear colliders is now in design progress at SLAC (USA), DESY(Germany), KEK (Japan) for the ILC and at CERN for CLIC withprojected energies in the 1 Tev region. Whatever the outcome ofthe LHC or these new electron/positron colliders, the fullpanoply of predictions beyond the standard mode will undoubtedlyrequire several TeV electron-positron machines before definitivepatterns can emerge in the data produced.Scaling electron/positron machines to higher energies can onlybe realistically achieved for LINEAR colliders. A radically newdesign for a higher energy electron/positron linear collider(linac) has been developed at CERN. The Compact Linear Collider(CLIC) gains its name from its compact transverse dimensioncompared with other designs. The effective operation of such acomplex device relies on a number of challenges that lie at thelimit of current technological feasibility. The role of coherentsynchrotron radiation by the beam requires a fuller understandingin order to achieve design criteria and its effective functioning relies on being able to control such emission. To date this problem remain to be fully resolved.A mathematically coherent formulation of a closed system ofpartial differential equations describing the relativisticbehaviour of charged matter with electromagnetic fields isinevitably non-linear and in general exact solutions satisfyingcausal boundary conditions are intractable. The fact that theeffects of (coherent and incoherent) radiation on micro-sizedcharged bunches in a host of newly proposed advanced devices is asignificant barrier to development indicates that existingapproaches used to model such effects are inadequate and that afresh look at the whole problem is timely. It is the aim of thisproposal to offer new tools in differential geometry to theanalysis of a new approximation scheme based fundamentally on thelight cone structure of spacetime.It is aimed to interact with accelerator scientists in the UK,CERN, DESY and the US, over a period of 18 months, to determine the precise nature of theproblems associated with synchrotron radiation in the design ofproposed devices of novel and advanced design. Based oninteractions with personnel in major accelerator centres it isplanned to confront the above problems with a new theoreticalprogramme that will lead to a clearer understanding of classicaland quantum synchrotron radiation phenomena and provide new toolsfor their solution. In particular it will permit the constructionof new efficient and transparent code for tackling the challengesassociated with the planned functioning of the damping andcombiner rings in the proposed machine (CLIC) described brieflyabove and provide a new electrodynamics framework for themathematical sciences .

计划于2006- 2007年运行的大型强子对撞机（LHC）计划探索多夸克相互作用，这种相互作用产生于质子能量超过100亿电子伏特的中心碰撞.它可能会发现新粒子的证据，包括标量场.然而，即使发展到更高的能量，它也不可能解决基本相互作用标准模型提出的所有悬而未决的问题.它的碰撞成分（质子）是复合物，因此光束能量在单个夸克之间分配。另一种方法是使用一种直接加速轻子和反轻子的点状结构的装置。事实上，这样的机器有一个良好的测试血统。标准模型的精确实验主要归功于位于日内瓦的欧洲核子研究中心（CERN）的电子-正电子环形对撞机（LEP）。美国SLAC、德国DESY、日本KEK等正在为ILC设计新一代的电子-正电子直线对撞机，而欧洲核子研究中心（CERN）正在为CLIC设计新一代的对撞机，预计能量在1 Tev。无论大型强子对撞机或这些新的电子/正电子对撞机的结果如何，标准模式之外的全部预测都将不可避免地需要几个TeV的电子-正电子机器才能在产生的数据中出现明确的质子。将电子/正电子机器扩展到更高的能量只有在线性对撞机中才能现实地实现。欧洲核子研究中心（CERN）研制了一台高能正负电子直线对撞机（LINAC）。紧凑型直线对撞机（CLIC）因其紧凑的横向尺寸而得名。这种复杂设备的有效操作依赖于许多挑战，这些挑战处于当前技术可行性的极限。为了达到设计标准，需要更全面地了解光束的相干同步辐射的作用，其有效运作依赖于能够控制这种辐射。迄今为止，这个问题仍然没有完全解决。一个数学上连贯的描述带电物质在电磁场作用下的相对论行为的封闭偏微分方程组系统不可避免地是非线性的，并且在一般情况下，满足因果边界条件的精确解是难以解决的。事实上，（相干和非相干）辐射对许多新提出的先进设备中的微型带电聚束的影响是发展的一个重大障碍，这表明用于模拟这种影响的现有方法是不够的，重新审视整个问题是及时的。这一计划的目的是提供微分几何中的新工具来分析一种新的近似方案，这种近似方案基本上是基于时空的光锥结构。它的目的是在18个月的时间里与英国、欧洲核子研究中心、DESY和美国的加速器科学家进行互动，以确定在设计新颖和先进设计的拟议设备时与同步辐射相关的问题的确切性质。基于与主要加速器中心人员的互动，计划用一个新的理论方案来面对上述问题，这将导致对经典和量子同步辐射现象的更清晰的理解，并为解决这些问题提供新的工具。特别是，它将允许构建新的高效和透明的代码，以应对与上述拟议机器（CLIC）中的阻尼和组合环的计划功能相关的挑战，并为数学科学提供新的电动力学框架。

项目成果

Classical Dynamics of Free Electromagnetic Laser Pulses

• DOI: 10.1016/j.nimb.2015.10.002
• 发表时间: 2015-08
• 期刊: Nuclear Instruments & Methods in Physics Research Section B-beam Interactions With Materials and Atoms
• 影响因子: 1.3
• 作者: S. Goto;R. Tucker;T. Walton

On the self-force in Bopp-Podolsky electrodynamics

论Bopp-Podolsky电动力学中的自力

• DOI: 10.1088/1751-8113/48/43/435401
• 发表时间: 2015
• 期刊: Mathematical and Theoretical
• 作者: Gratus J

Numerical regularization of electromagnetic quantum fluctuations in inhomogeneous dielectric media

非均匀介电介质中电磁量子涨落的数值正则化

• DOI: 10.1103/physreva.85.034103
• 发表时间: 2012
• 期刊: Physical Review A
• 影响因子: 2.9
• 作者: Goto S

Energy spectra from electromagnetic fields generated by ultra-relativistic charged bunches in a perfectly conducting cylindrical beam pipe

完美导电圆柱形束管中超相对论带电束团产生的电磁场的能谱

• DOI: 10.1088/1751-8113/43/2/025402
• 发表时间: 2010
• 期刊: Mathematical and Theoretical
• 作者: Hale A