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TY - CONF AU - Peng, Y.M. AU - Zhang, Y. ED - Henderson, Stuart ED - Akers, Evelyn ED - Satogata, Todd ED - Schaa, Volker R.W. TI - The Luminosity Reduction with Hourglass Effect and Crossing Angle in an e-p Collider J2 - Proc. of IPAC2015, Richmond, VA, USA, May 3-8, 2015 C1 - Richmond, VA, USA T2 - International Particle Accelerator Conference T3 - 6 LA - english AB - This paper derived the luminosity reduction caused by crossing angle and hourglass effect in an asymmetric collision. Here, we gave the general expressions of the geometrical reduction factor of luminosity for the asymmetric case caused by crossing angle and hourglass effect, for tri-Gaussian bunches colliding. We also gave it simple expression in some special cases to recover the earlier results, such as the formulas for only hour-glass effect exist and only crossing angle exist. The expressions used in e-p collider are also analysed in detail. PB - JACoW CP - Geneva, Switzerland SP - 2016 EP - 2018 KW - luminosity KW - collider KW - electron KW - proton KW - acceleration DA - 2015/06 PY - 2015 SN - 978-3-95450-168-7 DO - 10.18429/JACoW-IPAC2015-TUPTY010 UR - http://jacow.org/ipac2015/papers/tupty010.pdf ER -