Particle production for a muon storage ring: I. Targetry and pi/mu yield Page: 4 of 6
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--,+, 50 mrad
0--0 -, 50 mrad
16 GeV on Hg
A ~ RT = 2.5a,.
-"+, 50 mrad
--. +, 150 mrad
--Q -, 150 mrad
0 3 6 9 12 15 3 6 9 12 15
Target radius (mm) Target radius (mm)
Fig. 4. Yield as a function of a target radius, Hg (left) and C (right), for a 16-GeV
proton beam and several tilt angles.
SC, RT-7 5 mm,a=50 mrad
0.35 A , Hg, RT-5 mm, a-10 mrad R=N
0-HgR5 mm,-nma Hg
R N a
To 27 C
3.0 3.5 4.0 4.5 5.0
2.0 2.5 3.0 3.5 4.0 4.5 5.0
Fig. 5. Yield (left) and maximum instantaneous temperature rise (right) as a func-
tion of a target to a RMS beam spot size ratio (right).
Y,++N+ = 0.309 and Y,-+,,- = 0.315 for the 30-cm Hg target, i.e., at 16 GeV
(best Hg)/(best C) = 1.7 (+) and 2.06 (-).
3 Beam power considerations
The yield per beam power is almost independent of Ep for high-Z targets at
6< Ep <24 GeV and drops by 30% at 16 GeV from a 6-GeV peak for graphite
(Fig. 6 (left)). The higher Ep reduces the number of protons on target. To
provide X= 2x 1020 muon decays per year in the straight section at 15 Hz, one
needs to have 6x 1012 muons per pulse in the decay channel, assuming a factor
of 3 total loss on the way from the decay channel to the ring. With that, needed
are 3.30x 10'3 and 3.92x 10'3 protons per pulse at 16 GeV on the optimal C
target for positives and negatives, respectively. This corresponds to 1.27 and
1.51 MW beams. For a Hg target, these numbers are 1.7 and 2.06 times lower.
Fig. 6 (right) shows the required number of protons N, and beam power as
a function of Ep for the C target, while Fig. 7 presents power dissipation and
16 GeV on C
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Mokhov, Nikolai V. Particle production for a muon storage ring: I. Targetry and pi/mu yield, article, September 14, 2000; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc720301/m1/4/: accessed December 10, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.