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1.2. Results of the experiment
In Fig. 1.4 and Fig. 1.5 (refer to Fig. 5 and
Fig. 7 in [8]) the time-of-flight spectrums of particles at analysing magnet current
of 550 A are shown. The spectrum in Fig. 1.4 (see Fig. 5 in [8] and
Fig. 2 in [7]) corresponds to a measuring base of B2=
6 m. The spectrum in Fig. 1.5 corresponds to a measuring base of B1
= B2 - (370 ± 0.5) mm.
In Fig. 1.6 and Fig. 1.7 (see Fig. 6 and Fig. 8 in
[8]) the time-of-flight spectrums of particles at analysing magnet current of 485 A
are shown.. The spectrum in Fig. 1.6 (see also Fig. 3 in [7]) corresponds to a
measuring base B1 = 6 m, and the
spectrum in Fig. 1.7 corresponds to a measuring base of B2
= B1+ (500± 0,5) mm..
In Fig. 1.4, …, 1.7 symbol N is a number recorded in
totalizing pulse counter of appropriate channel; n is channel number.

Fig. 1.4. Time-of-flight spectrum at analysing magnet current of 550 A
and measuring base of 6 m.

Fig. 1.5. Time-of-flight spectrum at analysing magnet current of 550 A
and measuring base of 5.63 m.

Fig. 1.6. Time-of-flight spectrum at analysing magnet current of 485 A
and measuring base of 6 m.

Fig. 1.7. Time-of-flight spectrum at analysing magnet current of 485 A
and measuring base of 6.5 m.
In tables 1.1 and 1.2 the initial data and results of the
experiment with two magnitudes of the analysing magnet currents are shown.
Table 1.1. (When analysing magnet current is equal to 485 A)
j |
B1 , m |
B2 , m |
tdelay ,
ns |
n1j |
n2j |
j = e |
6 |
6.5 |
10 |
52 |
252 |
j = m |
6 |
6.5 |
10 |
128 |
340 |
j = p |
6 |
6.5 |
10 |
178 |
390 |
Table 1.2. (When analysing magnet current is equal to 550 A)
j |
B1 , m |
B2 , m |
tdelay ,
ns |
n1j |
n2j |
j = e |
5.63 |
6 |
10 |
38 |
132 |
j = m |
5.63 |
6 |
10 |
97 |
196 |
j = p |
5.63 |
6 |
10 |
123 |
227 |
1.3. Calculation of particles speeds according
to Einstein's SRT
In [7] and [8] calculation of channel time "price" was
performed in an assumption (in full compliance with Einstein's SRT), that particles having
the greatest speeds - high-energy electrons - were moving at a speed approximately equal
to the speed of light in vacuum. With the aim to obtain the formula for calculation the
analyser channel time price according to this assumption it is sufficient to substitute
into equation (1.15) the light speed co instead of speed u
and after that to solve this equation with respect to channel "price" DT. In the result we shall have a formula
DT = ( B2 -
B1) / [co·(n2e - n1e)] ,
(1.16)
where n2e is a median of
electron spectrum at measuring base equal to B2; n1e
is a median of electron spectrum at measuring base equal to B1.
Substituting into equation (1.16) the data from table 1.1 and table 1.2
for electrons at two various analysing magnet currents, we shall obtain values of channel
"price" complying with an assumption that the particles with the highest speed
move with a speed approximately equal to the light speed in vacuum:
а) for analysing magnet current equal to 485 А
DT485ASRT = 0.5
/ [3·108 ·(252 - 52)] = 8.33·10-12 seconds;
б) for analysing magnet current equal to 550 А
DT550ASRT =
0.37 / [3·108 ·(132 - 38)] = 13.12·10-12 seconds.
Substituting equation (1.16) into equation (1.15), we shall obtain the
equation for j-type particles speed according to Einstein's SRT
bj = uj / co =(n2e - n1e) / (n2j - n1j) .(1.17)
Substituting into equation (1.17) the data from table 1.1 and table 1.2
for p -mesons ( j = p), we shall obtain
speeds of p -mesons of various energy in accordance with Einstein's SRT
bp485A = (252 - 52) / (390 - 178) = 0.9434,
(1.18)
bp550A = (132 - 38) / (227 - 123) = 0.9038.
(1.19)
In [7] and [8] the following magnitudes have been obtained for this
values
bp485A = 0.9099,
(1.20)
bp550A = 0.9390.(1.21)
Substituting into equation (1.17) the data from table 1.1 and table 1.2
for muons ( j = m ), we shall
obtain speed of muons of various energies in accordance with Einstein's SRT
bµ 485A = (252 - 52) / (340 - 128) = 0.9434,
(1.22)
bµ 550A = (132 - 38) / (196 - 97) = 0.9495.
(1.23)
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