We examine the effect of the broadband wake on the longitudinal and transverse beam distributions in the low-emittance Hybrid Multi-bend Achromat (HMBA) storage ring. We utilize the Vlasov equation and a multi-particle tracking method to examine the equilibrium longitudinal beam distributions due to the broadband wake. The beam distributions from the Vlasov method is shown to agree well with the multi-particle tracking results. Multi-particle tracking simulations are also performed to investigate the longitudinal and transverse beam instabilities due to the broadband wake in the ring. In view of our results, our designed ring with \(Z/n=0.1\Omega\) is shown to make the producion of a beams possible.

我们研究了宽带尾流对低发射混合多弯曲消色差 (HMBA) 存储环中纵向和横向光束分布的影响。我们利用 Vlasov 方程和多粒子跟踪方法来检查由于宽带尾流引起的平衡纵向光束分布。Vlasov 方法的光束分布与多粒子跟踪结果非常吻合。还进行了多粒子跟踪模拟，以研究由于环中的宽带尾流引起的纵向和横向光束不稳定性。鉴于我们的结果，我们设计的具有\(Z/n=0.1\Omega\) 的环被证明可以产生梁。