Coherent synchrotron radiation in the isochronous muon collider ring

摘要

To achieve the luminosity of L = 10(sup 35) cm(sup (minus)2)s(sup (minus)1) in a (mu)(sup +)(mu)(sup (minus)) collider, two bunches per sign of N = 2 (times) 10(sup 12) particles each and a betatron function of (beta)* = 3 mm at the interaction point (IP) are required. This small (beta)* at the IP constrains the size of the bunch to be (sigma)(sub z) (approximately) (beta)*. To maintain this rather short bunch without excessive rf power consumption, an isochronous lattice has been chosen for the final collider ring. One of the important advantages of muons as opposed to electrons is that at up to at least TeV energy it is possible to accelerate muons in circular machines as their synchrotron radiation is reduced by a factor of (m(sub e)/m(sub (mu)))(sup 2) (approximately) 23 (times) 10(sup (minus)6) with respect to electrons. Nevertheless, the large number of muons in a short bunch suggests the possibility of strong shielded coherent synchrotron radiation. First, the author uses the well known formulae to evaluate the power of shielded coherent synchrotron radiation in the isochronous muon collider ring. Finally, following the results obtained by Kheifets and Zotter for a bunch with a Gaussian longitudinal charge distribution the author shows that the coherent synchrotron radiation in the isochronous (mu)(sup +)(mu)(sup (minus)) collider ring is negligible if the rms bunch length is larger than (approx) 0.3 mm.