Transverse Beam Instability due to a Broad-band Impedance in Very Large Hadron–Collider Ring

概要

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The strong head–tail instability due to a broad-band impedance in the very large hadron–collider (VLHC) ring of 20 TeV is numerically investigated. It is shown that the beam size increases significantly when the impedance, $Z_{\|}/n$, is 0.6 $\Omega$, which is the estimated impedance budget in the design. The beam instability is shown to be cured by introducing tune spreads, such as RF quadrupole, chromaticity and amplitude-dependent tune shift. It is shown that any of these tune spreads limits the growth of the beam size to less than 3%. It is shown that threshold impedance for the instability is estimated to be about $Z_{\|}/n=0.3$ $\Omega$.
INSTITUTE OF PURE AND APPLIED PHYSICSの論文
2003-03-15