Question

The positiron is a bound electron position pair. The positron is the antiparticle of the electron with the charge +e and the same rest mass as the electron. derive and calculate the following quantities considering that e+ and e- are orbiting around the mutual center of mass

1.) radius of the bohr orbit with n=1

2.) binding energy of the system

3.) energy and wavelength of a photon emitted if the eletron transistions from n=2 to the ground state

Answer #1

1) radius of the Bohr orbit with n=1 is where is the Bohr radius.

radius of ground state orbit for positronium is

2)

Binding energy is

Thus of energy is required to separate electron from positron in this system.

3)

energy of n=2 level is

energy of emitted photon is

Wavelength =

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