Answer
$1\times10^{-25}s $
Work Step by Step
Using the hint, the width of the bump in Figure 32-19 is about $5 GeV/c^2$. Estimate the lifetime of the Higgs boson by using equation 28–2.
$$\Delta E \approx \frac{\hbar}{\Delta t}$$
$$\Delta t \approx \frac{\hbar}{\Delta E}$$
$$=\frac{1.055\times 10^{-34}J \cdot s}{5\times10^9eV}\frac{1eV}{1.60\times10^{-19}J}$$
$$ \approx 1\times10^{-25}s $$
