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TY - CONF AU - Jimbo, K. AU - Souda, H. ED - Schaa, Volker RW ED - Power, Maria ED - Shiltsev, Vladimir ED - White, Marion TI - Synchrotron Oscillation Derived From Three Components Hamiltonian J2 - Proc. of NAPAC2016, Chicago, IL, USA, October 9-14, 2016 C1 - Chicago, IL, USA T2 - North American Particle Accelerator Conference T3 - 3 LA - english AB - The Hamiltonian, which was composed of coasting, synchrotron and betatron motions, clarified the synchro-betatron resonant coupling mechanism in a storage ring*. The equation for the synchrotron motion was also obtained from the Hamiltonian. It shows that the so-called synchrotron oscillation is an oscillation around the revolution frequency as well as of the kinetic energy of the on-momentum particle. The detectable synchrotron oscillation is a horizontal oscillation on the laboratory frame. PB - JACoW CP - Geneva, Switzerland SP - 690 EP - 692 KW - ion KW - synchrotron KW - betatron KW - heavy-ion KW - closed-orbit DA - 2017/01 PY - 2017 SN - 978-3-95450-180-9 DO - 10.18429/JACoW-NAPAC2016-WEPOA03 UR - https://jacow.org/napac2016/papers/wepoa03.pdf ER -