Yukawa Aqua...

[Orion1]

Classical Quantum Electrodynamics: (QED)

Classical QED gravitational Fine Structure Constant:
\propto_g = \frac{Gm_p^2}{\hbar c}
m_p - proton mass

Classical QED Electromagnetism Fine Structure Constant:
\propto_e = \frac{K_e q^2}{\hbar c}
K_e - Coulomb's proportionality constant
q - proton charge


The lightest meson is the pion (quark anti-quark combination) which is NOT an elementary particle yet it DOES mediate a "part" of the strong force. I am referring to the socalled residual strong force that holds atomic nuclei together...

Deuterium Binding Energy:
E_b = ((m_p + m_n) - m_D)E_n

Yukawa Potential Well:
U_y = f^2 \frac{e^{-\frac{r_D}{r_0}}}{r_D}

E_b = U_y

((m_p + m_n) - m_D) E_n = f^2 \frac{e^{- \frac{r_D}{r_0}}}{r_D}

f_D^2 = ((m_p + m_n) - m_D) E_n r_D e^{\frac{r_D}{r_0}}

\boxed{f_D = \sqrt{((m_p + m_n) - m_D) E_n r_D e^{\frac{r_D}{r_0}}}}

Classical QED Deuterium-Yukawa Fine Structure Constant:
\boxed{\propto_y = \frac{f_D^2 e^{- \frac{r_D}{r_0}}}{\hbar c}}

Key:
E_n = 1.492*10^{-10} j*amu^{-1} (931.437 Mev*amu^-1) - mass-energy equivalence
m_p - Proton mass
m_n - Neutron mass
m_D - Deuterium mass
r_D - Deuterium nuclear radius
r_0 - Yukawa nuclear range

Can Deuterium Binding Energy be described as existing inside a Yukawa Potential Well?

What is the numeric value for \propto_y?

As compared to \propto_e, is this numeric value reasonable?