To maximize luminosity in a collider, low- β quadrupoles need to be installed as close as possible to the interaction point (IP), where beams are focussed to small spot sizes. In an asymmetric collider such as an asymmetric B-factory [An Asymmetric B Factory Based on PEP: Conceptual Design Report, SLAC-0372 [1]; KEKB B-Factory Design Report, KEK Report 95-7 [2]] or an electron–ion collider [Hera—A Proposal for a Large Electron Proton Colliding Beam Facility at DESY, DESY HERA 81-10 [3]; M. Farkhondeh, V. Ptitsyn (Eds.), eRHIC Zeroth Order Design Report, BNL Note C-A/AP/142; L. Merminga, Y. Derbenev, ELIC: an electron-light ion collider at CEBAF, ICFA Beam Dynamics Newsletter No. 30, 2003, p. 22; J.B. Dainton, M. Klein, P. Newman, E. Perez, F. Willeke, Deep Inelastic Electron–Nucleon Scattering at the LHC, DESY 06-006, and Cockcroft-06-04], beams of different energy are brought into collision at the IP. The energy difference requires separate focusing systems for the two beams. Placing regular separator dipoles between the IP and the focussing system either reduces the available space for the detector and therefore the detector acceptance or forces the low- β quads to be placed further away from the IP, resulting in reduced luminosity. Combining the separation and focusing functions of the innermost elements by using off-center quadrupoles and/or additional dipole coils on superconducting low- β quadrupoles ameliorates the problem somewhat. However, even in this case the separation occurs rather far away from the interaction point, leading to a large width of the synchrotron radiation fan generated by the deflection of the lower-energy electron or positron beam. To overcome these limitations in the eRHIC design, we have proposed integration of dipole coils in the (superconducting) detector solenoid [C. Montag, et al., Interaction region design for the electron–ion collider eRHIC, in: Proceedings of the PAC 2005, 2005], a concept that had originally been proposed for the Linear Collider detector solenoid [B. Parker, A. Seryi, Phys. Rev. ST Accel. Beams 8 (2005) 041001]. This results in a curved trajectory of the lower-energy electron beam across the interaction point, and therefore in a considerable transverse offset of the head and tail of the long ion bunches with respect to the (short) electron bunches. This paper examines beam dynamics issues arising from the collision of a long high-energy ion beam with a lower-energy electron beam on a trajectory curved by the detector-integrated dipole.
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