All Problems

Scattering of Particles. Rutherford-Bohr Atom

Problem 6.48

Calculate the separation between the particles of a system in the ground state, the corresponding binding energy, and the wavelength of the first line of the Lyman series, if such a system is (a) a mesonic hydrogen atom whose nucleus is a proton (in a mesonic atom an electron is replaced by a meson whose charge is the same and mass is 207 that of an electron); (b) a positronium consisting of an electron and a positron revolving around their common centre of masses.

Reveal Answer
6.48. (a) \(0.285 \mathrm{pm}, 2.53 \mathrm{keV}, 0.65 \mathrm{nm} ;\) (b) \(106 \mathrm{pm}, 6.8 \mathrm{eV}\) \(0.243 \mu \mathrm{m}\)