Don't forget what the hyperbola represents. The Minkowski Diagram plotted
the difference in the measurements of the creation and the decay of the
meson. Remember the data pair?
(Sd - Sc, Td - Tc)
For a data pair to have space = 0, the creation and decay must have
happened in the same place! Rename another
number as "the time when distance between creation and decay
of the meson is zero" and symbolize it by the Greek letter Tau
(t).
The equation for our hyperbola, then, looks like:
time2 - space 2 = t2
In other words, all of the data points can be used to calculate a certain
constant.
What is the
constant?
|
Bin Number
|
Mean Decay Length (s)
|
Mean Decay Time (s)
|
t (s)
|
1
|
5.25320 E-12
|
5.26699 E-12
|
3.8086 E-13
|
2
|
1.19318 E-11
|
1.19523 E-11
|
6.9891 E-13
|
3
|
1.11187 E-11
|
1.11317 E-11
|
5.3804 E-13
|
4
|
1.15704 E-11
|
1.15802 E-11
|
4.7608 E-13
|
5
|
1.39178 E-11
|
1.39267 E-11
|
4.9883 E-13
|
6
|
1.36513 E-11
|
1.36582 E-11
|
4.3569 E-13
|
7
|
1.69185 E-11
|
1.69254 E-11
|
4.8160 E-13
|
8
|
1.49663 E-11
|
1.49713 E-11
|
3.8846 E-13
|
9
|
1.58498 E-11
|
1.58543 E-11
|
3.7587 E-13
|
10
|
2.00322 E-11
|
2.00369 E-11
|
4.3423 E-13
|
11
|
1.34427 E-11
|
1.34454 E-11
|
2.7074 E-13
|
12
|
1.86430 E-11
|
1.86463 E-11
|
3.4965 E-13
|
13
|
1.89248 E-11
|
1.89277 E-11
|
3.3128 E-13
|
14
|
1.56065 E-11
|
1.56086 E-11
|
2.5604 E-13
|
15
|
2.04128 E-11
|
2.04153 E-11
|
3.2064 E-13
|
16
|
2.51898 E-11
|
2.51925 E-11
|
3.7223 E-13
|
17
|
3.89694 E-11
|
3.89732 E-11
|
5.4373 E-13
|
18
|
2.52780 E-11
|
2.52802 E-11
|
3.3479 E-13
|
|