Emittance-dominated long bunches in dual harmonic RF system

The storage of long bunches for long time intervals needs flattened stationary buckets with a large bucket height. The longitudinal motion of the initially mismatched beam has been studied for both the single and dual harmonic RF systems. The RF amplitude is determined to be r.m.s wise matched. The bucket height of the single harmonic system is too small even for shorter bunch with only 20% increased energy spread. The Halo formation and even debunching can be seen after a few synchrotron periods for single particles with large amplitude. In the case of small energy spread for a cooled beam, Coulomb interaction cannot be ignored. The external voltage has to be increased to keep the r.m.s bunch length unchanged. The new voltage ratio R(N) simplifies physics for the emittance-dominated bunches with modest particle number N. For the single harmonic system, substantial amount of debunching occurs without increasing the external voltage, but very little if the RF amplitude is doubled. Results from the ORBIT tracking code are presented for the 1 GeV bunch in the HESR synchrotron, part of the GSI FAIR project.     

双谐波高频系统的同步加速器中发射度主导的长束团研究

在质子储存环中,长束团的长期储存要求采用比较平的 bucket 以增加纵向接收度。对于经过相空间冷却的低能散的束流,束流内部的库仑散射作用不能被忽略。本文讨论了对于处在临界能量以下的发射度主导的长束团双谐波高频系统的特性。为了保持束团长度不变,高频电压应作适当的提高以补偿空间电荷效应的作用。初始失配的束流的纵向运动也分别对于单谐波或双谐波系统进行了研究,对于前者失配度为20%时,纵向接收度太小导致经过几个同步周期后就出现明显的束流纤维化和散束。本文还引入了一种空间电荷作用因子和纵向失配度的概念来研究和分析发射度主导的长束团的纵向运动。采用ORBIT程序对FAIR-HESR加速器中的束流纵向运动进行了模拟跟踪计算,并与理论分析进行了比较。