We
suppose that the neutron turns around an axis (X for example). The
contribution of the X-bubble to the magnetic moment will be zero.
If the
negative charge radius is 1.3205 fm
and if the positive charge radius is 0.86755fm,
The
contribution of the Y-bubble and the Z-bubble to the negative charge is
2*(-2e/6).
The
contribution of the Y-bubble and the Z-bubble to the positive charge is
(0.86755
/ 1.3205) * (2*(+1e/3)).
The
contribution of the Y-bubble and the Z-bubble to the cinetic moment is
2*(+1*ħ/3 ).
The
relativistic half-mass (for the negative fraction) of bubbles is (Mn/2π)/2.
The
relativistic half-mass (for the positive fraction) of bubbles is (Mn/2π)/2.
The
magnetic moment of the neutron is:
MMN
=
(negative
charge * cinetic moment * spin) / (half-mass of a neutron bubble)
+ (positive charge *
cinetic moment * spin) / (half-mass of a neutron
bubble)
MMN
=
(
((-2e/3) * (+2ħ/3)) / (2*(Mn/4π)) ) +
(
((0.86755 / 1.3205)*(+2e/3) *
(+2ħ/3)) / (2*(Mn/4π
)) )
=
- 1.91572 * (eħ/2Mn)
= -1,91304 * (eħ/2Mp)
with Mn = 1,0014 Mp
The
experimental value is - 1.91304 * µN
(W.-M. Yao, et al., J. Phys. G 33 (2006))
The radius of charge of the proton is :
0.8750 fm (±0.0068) (Biraben et al. ; 2007)
The radius of charge of the proton in the muonic hydrogen is:
0.8418 (±0.0007) (Pohl et al. ; 2011)
