The table contains Fermilab data, but the distance units are
"conventional." You can convert these distances to seconds by
using the speed of light as a conversion factor. Using D = vt, the
first decay length in the table becomes:
1.57487x10^{03} m =
299,792,458 m/s x 5.2531x10^{12}
s
Convert the
entire table.
Note that the velocities are now unitless! Remember that velocity is a
ratio of distance to time. Because both distance and time are expressed in
seconds, their ratio is unitless.
Once the data are converted, you can begin to work with the numbers
to see what the
hyperbolic function might yield.

Bin Number

Velocity (unitless)

Mean Decay Length (m)

Mean Decay Time (s)

1

0.99738

1.57487 E03

5.26699 E12

2

0.99829

3.57708 E03

1.19523 E11

3

0.99883

3.33329 E03

1.11317 E11

4

0.99915

3.46872 E03

1.15802 E11

5

0.99936

4.17245 E03

1.39267 E11

6

0.99949

4.09255 E03

1.36582 E11

7

0.99960

5.07204 E03

1.69254 E11

8

0.99966

4.48678 E03

1.49713 E11

9

0.99972

4.75166 E03

1.58543 E11

10

0.99977

6.00550 E03

2.00369 E11

11

0.99980

4.03001 E03

1.34454 E11

12

0.99982

5.58903 E03

1.86463 E11

13

0.99985

5.67351 E03

1.89277 E11

14

0.99987

4.67871 E03

1.56086 E11

15

0.99988

6.11959 E03

2.04153 E11

16

0.99989

7.55170 E03

2.51925 E11

17

0.99990

1.16827 E02

3.89732 E11

18

0.99991

7.57815 E03

2.52802 E11

