Relationship between anomalous factor and alpha

In summary, the conversation discusses the mathematical relationship between the anomalous factor and fine structure constant for the electron. The Wikipedia article states that a_e is approximately equal to α/2π for a one loop. The concept is accepted, but the exact calculation is laborious. The question is raised about the validity of this relationship since it is not an exact match.
  • #1
quiet
Hello everyone. Maybe you can help me with the following. In the case of the electron, is there any known mathematical relationship between anomalous factor and fine structure constant?
 
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  • #2
[tex]a \approx \alpha/2\pi[/tex] Just like it says in Wikipedia.
 
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  • #3
Thank you ! The wikipedia article exposes the result for a one loop. And for this case indicates that
[tex]a_e \simeq \dfrac{\alpha}{2 \pi} [/tex]
Let us not think how laborious can be the exact calculation. I am interested only in the concept. Does that mean the following? : there are valid reasons to accept that it really should be
[tex]a_e = \dfrac{\alpha}{2 \pi} [/tex]
 
  • #4
Since it's not exactly α/2π, how could there possibly be valid reasons for it to be exactly α/2π?
 
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  • #5
Thanks Vanadium 50 !
 

Related to Relationship between anomalous factor and alpha

1. What is an anomalous factor in relation to alpha?

An anomalous factor, also known as an anomalous scattering factor, is a measure of the deviation of an element's scattering behavior from the average behavior of other elements. In the context of alpha, it is a representation of how much an element's scattering of alpha particles differs from that of other elements.

2. How does the anomalous factor affect alpha decay?

The anomalous factor does not directly affect alpha decay. However, it can indirectly impact the stability of an element by affecting its nuclear structure and thus potentially influencing the likelihood of alpha decay occurring.

3. Is there a correlation between the anomalous factor and the type of alpha particles emitted?

No, the anomalous factor does not determine the type of alpha particles emitted during decay. The type of alpha particles emitted is determined by the specific isotope undergoing decay.

4. Can the anomalous factor be manipulated to control alpha decay?

No, the anomalous factor cannot be manipulated to control alpha decay. It is a natural property of an element and cannot be altered.

5. How is the anomalous factor measured?

The anomalous factor is typically measured through experiments that involve scattering particles (such as alpha particles) off of a sample containing the element in question. The resulting data is then analyzed to determine the anomalous factor of the element.

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