Once the required momentum resolution is determined, the scale of the tracking detector is
calculated by the following well-known equation: [24]
where and B are transverse momentum (GeV), spatial
resolution(m), length(m) of measuring a trajectory, number of sampling points and
solenoid field(Tesla).
As mentioned before, the JLC group set the momentum resolution based on "the recoil mass
resolution of light Higgs boson = beam energy spread of 200MeV", that is
.
L was calculated to be 2m with
100
m, N=100(
) of a
conventional drift chamber comprizing small jet-cells and B=2Tesla.
The outer radius turned out to be 2.3m with an inner radius of 0.3m
(Fig.13). The wires are thus 4.6m long so as to cover an angular region of
for full sampling. Because of such long wires, there are R&D
issues concerning the stability of the wire tension, the gravitational and electrostatic
sags and so on.
N.Khalatyan presented the results concerning the JLC-CDC test chamber, which is 30
30cm
and 4.6m long and comprises 5 small cells. [25] The tension of all
field wires, which are 120
m
gold-plated aluminum, has been decreased by 10%
over a period of one year. The reason was considered to be the material, itself, because
of the uniform lengthening. Thus, a good material must be found.
The gravitational sags were measured to be 355
m and 600
m for sense wires of
30
m
gold-plated tungsten and the field wires, respectively. These values are in
good agreement with the calculations.
The electrostatic sag of the sense wires was also measured to be 110
m, which
fairly agrees with the calculated value of 85
m.
These sags can thus be corrected to achieve the designed resolution.
In order to separate the background trajectories coming from neighboring bunch
crossings, the time resolution is crucial. If a charged particle hits all 100
wires, the time resolution for the trajectory can be obtained to be
10nsec/=1nsec because of the drift velocity of 10
m/nsec.
Therefore, the originated bunch can be identified for a bunch spacing of
1.4
5.6 nsec for JLC-I.