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Thompson Scattering is photon scattering from a Beta Particle Surface.

Beta particle mass is a fundamental nuclear particle with a beta-wave orbital energy field. The Beta nuclear particle has volume.

Classical Beta Radius:

[tex]r_e = \frac{ \hbar \alpha}{M_e c}[/tex]

[tex]r_e = 2.817E-15 m[/tex]

The wavelength of the beta-wave orbital energy field is equal to the Compton Wavelength(Wave-Bar) and is NOT the Beta Nuclear Radius.

W_c = 3.861*10^-13 m

The beta-wave orbital energy field has zero mass and is composed of pure electromagnetic field energy and has volume.

Measured Beta Thompson Scattering Cross Section:

[tex]\sigma_e = 6.652E-29 m^2[/tex]

Classical Thompson Scattering Cross Section: (Circle)

[tex]\sigma_e = \pi r_e^2[/tex]

[tex]\sigma_e = \pi \left( \frac{ \hbar \alpha}{M_e c} \right)^2[/tex]

[tex]\sigma_e = 2.494E-29 m^2[/tex]

Classical Thompson Scattering Cross Section: (Ellipse)

[tex]r_a \geq r_b[/tex]

[tex]\sigma_e = \pi r_a r_b[/tex]

[tex]\sigma_e = \pi \left( \frac{ \hbar \alpha}{M_e c} \right) r_a[/tex]

[tex]r_a = \frac{ \sigma_e}{\pi r_e}[/tex]

[tex]r_a = \frac{ \sigma_e M_e c}{ \pi \hbar \alpha}[/tex]

[tex]r_a = 7.514E-15 m[/tex]

[tex]r_b = 2.817E-15 m[/tex]

Beta Surface Eccentricity:

[tex]e_e = \frac{ \sqrt{r_a^2 - r_b^2}}{r_a}[/tex]

[tex]e_e = 0.927[/tex]

Beta Foci Radii:

[tex]r_c = e_e r_a[/tex]

[tex]r_c = 6.965E-15 m[/tex]

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Semi-Classical Beta Nuclear Radius:

[tex]r_\beta = r_0 A_\beta^.(1/3)[/tex]

[tex]r_\beta = r_0 \left(M_e N_a \right)^.(1/3)[/tex]

[tex]r_\beta = 9.823E-17 m[/tex]

r_0 = 1.2E-15 m

N_a = Avagadro's Number

Semi-Classical Beta Nuclear Radius has been confirmed via Hard Beta Nuclear Scattering.

Theoretical:

The Beta Nucleus is composed of three Anti-Rishon Preons:

(-T,-T,-T)

Beta Nucleus is composed of three Anti-Rishon charges with three Colour Charges with a net White Colour Charge:

(-1/3 + -1/3 + -1/3) = -1

Colour Charges:

(-R + -G + -B) = White

(Anti-Red + Anti-Green + Anti-Blue)

Semi-Classical Beta Nuclear Preon Radius:

[tex]r_\Delta = r_0 \left( \frac{M_e N_a}{3} \right)^.(1/3)[/tex]

[tex]r_\Delta = 6.811E-17 m[/tex]

Preons have not been confirmed to exist.

Preons cannot exist beyond a radius of [tex]r_\Delta[/tex]

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# Beta Field Theory

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