Massless Electron Compton Scattering: Energy of Outgoing Photon

In summary, the conversation discusses the problem of what happens to the energy of the outgoing photon in a Compton interaction when the mass of the electron goes to zero. The formula given shows that when the electron becomes massless, its Compton wavelength becomes infinite, causing the final wavelength of the photon to also become infinite and have zero energy. However, there is a question about the reasoning behind this and why the electron gains all the energy of the photon.
  • #1
Silviu
624
11
Hello! I found this problem where we are asked what happens to the energy of the outgoing photon in a Compton interaction, if the mass of the electron goes to zero and what is the physical intuition of it. So the formula is this: $$\lambda - \lambda_0 = \frac{h}{m_0 c}(1-cos \theta)$$ So when the electron gets massless its compton wavelength gets higher (infinite in the limit) and hence it spreads out and plugging in there you get that the final wavelength of the photon is infinite, which means that it has zero energy. But I am not sure what is the logic behind. Beside the obvious math, what is the explanation for the fact that the electron gets all the energy of the photon? Thank you!
 
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  • #2
Silviu said:
I found this problem

Where? Is this a homework problem?
 

1. What is Massless Electron Compton Scattering?

Massless Electron Compton Scattering is a type of scattering process where a high-energy photon interacts with an electron at rest, resulting in the production of a lower energy photon and a higher energy electron. It is an important phenomenon in quantum mechanics and is used to study the properties of particles.

2. How does Massless Electron Compton Scattering work?

In this process, the high-energy photon transfers some of its energy and momentum to the electron, causing it to recoil and gain energy. This results in the production of a lower energy photon, with a longer wavelength, and a higher energy electron, with a shorter wavelength. The change in energy and momentum is governed by the laws of conservation of energy and momentum.

3. What is the Energy of the Outgoing Photon in Massless Electron Compton Scattering?

The energy of the outgoing photon in Massless Electron Compton Scattering is determined by the change in energy and momentum of the interacting particles. This can be calculated using the Compton scattering formula, which takes into account the initial energies and momenta of the particles, as well as the scattering angle.

4. How is Massless Electron Compton Scattering useful in scientific research?

Massless Electron Compton Scattering is a fundamental process that has been extensively studied in the field of quantum mechanics. It is used to study the properties of particles, such as their mass and charge, and to test the predictions of quantum field theories. It has also been used in medical imaging techniques, such as positron emission tomography (PET).

5. Can Massless Electron Compton Scattering be observed in everyday life?

No, Massless Electron Compton Scattering is a quantum phenomenon that occurs at very small scales and cannot be observed in everyday life. However, it is an important process in understanding the behavior of particles and is used in various fields of research, including particle physics and medical imaging.

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