Physically speaking, the delta function like beam-beam nonlinear forces atinteraction points (IPs) act as a sum of delta function nonlinear multipoles.By applying the general theory established in ref. 1, in this paper weinvestigate analytically the beam-beam interaction limited dynamic aperturesand the corresponding beam lifetimes for both the round and the flat beams.Relations between the beam-beam limited beam lifetimes and the beam-beam tuneshifts are established, which show clearly why experimentally one has always amaximum beam-beam tune shift, \xi_{y, max}, around 0.045 for e-^+e$^- circularcolliders, and why one can use round beams to double this value approximately.Comparisons with some machine parameters are given. Finally, we discuss themechanism of the luminosity reduction due to a definite collision crossingangle.
展开▼
机译：从物理上讲，像是在相互作用点（IPs）上的束光束非线性力之类的delta函数是delta函数非线性多极的总和。 1，本文我们对圆形和扁平光束的束流相互作用限制动态孔径以及相应的束寿命进行了分析研究，建立了束束有限束寿命与束光束调移之间的关系，这清楚地说明了为什么实验上，对于e-^ + e $ ^-圆形对撞机，总有一个最大的光束调整幅度\ xi_ {y，max}，大约为0.045，为什么人们可以使用圆形光束将这个值近似加倍。与某些机器参数的比较给出。最后，我们讨论了由于确定的碰撞交叉角导致的光度降低的机理。
展开▼
