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Orion1
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Penning trap upper limit for the electron particle radius:
[tex]r_e \leq 10^{-22} \; \text{m}[/tex]
QED Compton wavelength electron radius:
[tex]\boxed{r_e = \alpha_e \overline{\lambda}_c}[/tex]
QED Compton electron radius:
[tex]\boxed{r_e = \frac{\hbar \alpha_e}{m_e c}}[/tex]
QED electron fine structure constant:
[tex]\alpha_e = \frac{r_e}{\overline{\lambda}}_c = \frac{m_e c r_e}{\hbar}[/tex]
[tex]\boxed{\alpha_e = \frac{m_e c r_e}{\hbar}}[/tex]
Weak nuclear fine structure constant:
[tex]\alpha_w = \sqrt{ \frac{T_{\Delta}}{T_{\Sigma}}} = 2.738 \cdot 10^{-7}[/tex]
[tex]T[/tex] - Delta and Sigma particle lifetimes
[tex]\boxed{\alpha_e = 2.589 \cdot 10^{-10}}[/tex]
[tex]\boxed{\alpha_w = 2.738 \cdot 10^{-7}}[/tex]
The QED electron fine structure constant magnitude corresponds with the weak nuclear fine structure constant.
How is [tex]\alpha_w[/tex] measured via weak [tex]\beta[/tex] decay?
Are these equations correct?
Reference:
http://en.wikipedia.org/wiki/Electron#Fundamental_properties"
http://en.wikipedia.org/wiki/Weak_nuclear_force"
http://hyperphysics.phy-astr.gsu.edu/HBASE/forces/couple.html#c4"
http://hyperphysics.phy-astr.gsu.edu/HBASE/particles/weastr.html#c1"
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