X. Pei

TL;DR: Experimental data revealed island structure in longitudinal phase space in synchrotron motion excited by phase modulation at the third harmonic of the syn chrotron frequency.

TL;DR: In this paper, the synchroton motion of a beam was tracked by digitizing the phase of the beam signal from a high bandwidth wall gap monitor relative to the rf phase and the momentum deviation with a transverse beam position measurement in a high dispersion region.

TL;DR: The Kapchinskij-Vladimirskij envelope Hamiltonian is employed to describe the envelope evolution and the particle Hamiltonian to describe particle motion in a space charge dominated beam and it is found that the Hamiltonian dynamics depends only on a single effective space charge parameter.

TL;DR: Synchro-betatron coupling in a proton storage ring with electron cooling was studied experimentally by modulating a transverse dipole field close to the synchrotron frequency and the combination of the electron cooling and transverse field modulation is equivalent to a dissipative parametric resonant system.

TL;DR: The measured phase amplitudes of the centers of these resonance islands were found to agree well with theory, and Beam particles, in the presence of electron cooling, were observed to damp to the basins of resonance islands.