1 Parameters

The relevant machine parameters for computing transverse single- and multibunch modes are given in Tab. 1.

 

Name Symbol Injection Collision

Ring circumference L 26658.883 m

Betatron tune 63.31

Synchrotron tune 0.006 0.00212 Frequency slip factor

Revolution frequency f₀ 11.2455 kHz

Number of bunches k_B 2835

Number of bunch places M 3564

Proton energy E 450 GeV 7000 GeV

Circulating beam current I 0.536 A

Transverse physical emittance 7.82 nm-rad 0.503 nm-rad

r.m.s. bunch length 13 cm 7.7 cm

 

Note that the vertical tune value is used throughout this computation. The bunches are assumed to be Gaussian. Parabolic bunches would probably be a better assumption, but the appropriate matrix elements for the method of [1] have not been computed at this point.