Measurement and Correction of Nonlinear Chromaticity in RHIC

To improve luminosity in RHIC by using smaller β, higher order chromatic effects may need to be corrected [1]. Measuring of higher order chromaticities is discussed and compared to a model of RHIC, showing agreement. Assuming round beams, four families of octupoles are used to correct the second order chromaticities while keeping under control the amplitude dependent betatron tune spread in the beams. We show that the octupoles can reduce the second order chromaticity in RHIC, but they have insufficient strength for complete correction.