I found only [specialized articles](https://www.google.it/search?num=100&q=%22Compton+scattering+by+proton%22&oq=%22Compton+scattering+by+proton%22&gs_l=serp.12...29967.30607.0.32858.2.2.0.0.0.0.140.264.0j2.2.0....0...1c.1.64.serp..0.1.139.9eS0kIXrwX8) on the subject, do you know of any accessible article explaining the laws governing a photon colliding with a proton?

Would the same formula apply to the phenomenon of scattering by an electron if we changed $m\_p$ with mass of the electron:
$$\lambda' - \lambda = \frac{h}{m\_p c}(1-\cos{\theta})$$

Does the same law apply to a H atom and all mono-atomic molecules?