Does the Dimensionless Quantity from These Constants Have Physical Meaning?

[Krakers]

Question: Does the dimensionless quantity derived from the constants below have any physical meaning?

6.6524585580E-29 = Thomson cross section in SI units
2.1001941382E-16 = neutron Compton wavelength / 2pi inSI units
1508.215132 = (Thomson cross section) * (neutron Compton wavelength / 2pi)^-2

Regards,
Krakers

 

[malawi_glenn]

Can you argue why it should have a meaning?

 

[Meir Achuz]

No......

 

[xepma]

Maybe because:
\frac{55+150 \pi+1867 \pi^2}{4 \pi} = 1508.215132...

;)

 

[Meir Achuz]

Now I get it. Do you have software that does that for you?

 

[xepma]

No, it was just a lucky guess actually

..

..

or I might have used www.wolframalpha.com

 

[Bob S]

The Thomson cross section (= 8 pi r₀²/3 = 0.66 barns) is the low energy limit of the total Compton cross section (photon scattering on free electrons). r₀ is the classical electron radius (2.828 fermi).

 

[hamster143]

The dimensionless quantity above is equal to \frac{8\pi}{3} (\alpha \frac{m_n}{m_e} )^2.

 

[Krakers]

Thank you all for your time and the gift of your knowledge.

Regards,
Krakers