Pattern Recognition: The Importance of Dispersion in Crystal Collimation Page: 4 of 15
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Betatron tune, Qx 26.135
Synchrotron tune, Qs 0.0045
Dispersion at crystal, q/ [m] -0.88
Beta function at crystal, 0, [m] 96.05
Normalized emittance, c [rad m] 1.5 x 10-6
Beam size, Qx [m] 1.06 x 10-3
Momentum, p [GeV/c] 120
RMS Ap/p, (-/p) 4 x 10-4
I7I(Qp/p) [m] 0.35 x 10-3
Crystal edge displacement, x, 6 ox
Table 1: Nominal SPS Lattice and beam parameters used for the calculation. Note
that the dispersion is negative and has a large magnitude.
x P [6 ]
Maximum penetration, no [6 ]
Figure 1: Momentum offset and betatron displacement for a particle. The location of
the crystal edge (n, = 6) is indicated with a solid blue line. The maximum penetration
depth A = naox is indicated with a dashed blue line.
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Peggs,S. & Shiraishi, S. Pattern Recognition: The Importance of Dispersion in Crystal Collimation, report, September 1, 2008; United States. (digital.library.unt.edu/ark:/67531/metadc893094/m1/4/: accessed December 10, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.