 Solution

ID: past-exam-of-the-particle-and-nuclear-physics-course-of-the-university-of-cambridge/2012/paper-1/1/a/solution

e^{- m_{π} cr /ℏ} / r

. Its characteristic range is therefore the Reduced Compton wavelength,

R \sim \frac{ℏ c}{m _{π} c ^{2}} = \frac{197.3}{140} fm ≃ 1.4 fm .

This is an exponential falloff scale, not a sharp interaction cutoff. The ordinary Compton wavelength would introduce an unwanted factor

2 π

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