dorsal/arxiv
View SchemaAnalytical Estimation of the Beam-Beam Interaction Limited Dynamic Apertures and Lifetimes in e^+e^- Circular Colliders
| Authors | Jie Gao |
|---|---|
| Categories | |
| ArXiv ID | physics/0012056 |
| URL | https://arxiv.org/abs/physics/0012056 |
| DOI | 10.1016/S0168-9002(01)00239-X |
| Journal | Nucl.Instrum.Meth.A463:50-61,2001 |
Abstract
Physically speaking, the delta function like beam-beam nonlinear forces at interaction points (IPs) act as a sum of delta function nonlinear multipoles. By applying the general theory established in ref. 1, in this paper we investigate analytically the beam-beam interaction limited dynamic apertures and the corresponding beam lifetimes for both the round and the flat beams. Relations between the beam-beam limited beam lifetimes and the beam-beam tune shifts are established, which show clearly why experimentally one has always a maximum beam-beam tune shift, \xi_{y, max}, around 0.045 for e-^+e$^- circular colliders, and why one can use round beams to double this value approximately. Comparisons with some machine parameters are given. Finally, we discuss the mechanism of the luminosity reduction due to a definite collision crossing angle.
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"abstract": "Physically speaking, the delta function like beam-beam nonlinear forces at\ninteraction points (IPs) act as a sum of delta function nonlinear multipoles.\nBy applying the general theory established in ref. 1, in this paper we\ninvestigate analytically the beam-beam interaction limited dynamic apertures\nand the corresponding beam lifetimes for both the round and the flat beams.\nRelations between the beam-beam limited beam lifetimes and the beam-beam tune\nshifts are established, which show clearly why experimentally one has always a\nmaximum beam-beam tune shift, \\xi_{y, max}, around 0.045 for e-^+e$^- circular\ncolliders, and why one can use round beams to double this value approximately.\nComparisons with some machine parameters are given. Finally, we discuss the\nmechanism of the luminosity reduction due to a definite collision crossing\nangle.",
"arxiv_id": "physics/0012056",
"authors": [
"Jie Gao"
],
"categories": [
"physics.acc-ph"
],
"doi": "10.1016/S0168-9002(01)00239-X",
"journal_ref": "Nucl.Instrum.Meth.A463:50-61,2001",
"title": "Analytical Estimation of the Beam-Beam Interaction Limited Dynamic Apertures and Lifetimes in e^+e^- Circular Colliders",
"url": "https://arxiv.org/abs/physics/0012056"
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