## What Happens When Things Go Near the Speed of Light? Advanced Analysis: Deriving the formula for g

### Use the mathematical form of the plot to derive g - understanding the constant.

 The data are hidden. You may show them in another window. This should make a bit of sense. All of these events are productions and decays of the charmed meson. The time between creation and decay of a particle is called the lifetime. Because the lifetime of a type of particle is an identifying characteristic, all of these events have that one thing in common; the lifetime. What is the average value of t? t = 4.1598x10-13 ± 1.1014x10-13 s This value should look familiar; it is the accepted value for the lifetime of the charmed meson! Do you recall using it earlier to predict decay lengths? Actually the accepted value for the lifetime is 4.15x10-13 ± 0.04x10-13 seconds. The uncertainty in this number is much better than yours. The most important difference is the size of the dataset. The accepted value is based on thousands of data points; your value, only 18. More data yield more precise answers with smaller uncertainties. So . . . now what?