Nuclear Magnetic Dipole Moments for 3-Lithium-6 Accurately Predicted by the Brightsen Nucleon Cluster Model.
The following web site by N.J.Stone of Oxford Physics (see this link) provides a 2001 table of nuclear magnetic dipole moments for isotopes. The tabled magnetic moment for 3-Lithium-6 (rounded to 0.001 units of u/nm) is given to be +0.822. The magnetic moment for 2-He-4 = 0.000, for 2-He-3 = -2.128, for 1-H-2 = +0.857, and for 1-H-3 = +2.979.
According to the Brightsen Nucleon Cluster Model, two different matter isodyne cluster structures are possible for 3-Lithium-6:
{[N-P] + [N-P]} rotating core in 1s shell + rotating [N-P] in 1p shell
Magnetic moments are: 0.000 + +0.857 = 0.857 u/nm
[P-N--P] rotating core in 1s shell + rotating [N-P-N] in 1p shell
-2.128 + +2.979 = 0.851u/nm
The two magnetic moment values predicted for the two isodyne structures by the Brightsen Model (e.g., +0.857 and +0.851) are very close to the measured value of +0.822 in the table by N.J.Stone, off by a value of 0.032 u/nm units on average.
In the following paper,
Pauling, Linus, "Magnetic-Moment Evidence For The Polyspheron Structure of the Lighter Atomic Nuclei", Proc. Natl. Acad. Sci. USA, Vol. 58, p 2175, 1967 ( View Image )
Linus Pauling suggests that a "Mitbewegung" correction (translated from German as an "associated movement") should be considered when estimating the magnetic moments of two or more rotating clusters. Derived from mass charge equations, Pauling calculates that the Mitbewegung magnetic moment correction for two rotating clusters is ~ 0.03 u/nm. Thus, the Brightsen Model accurately predicts the experimentally observed magnetic moment for 3-Li-6 (within 0.002 u/nm) when the nucleus is viewed from the perspective of two rotating clusters. Exact prediction would be expected if the Mitbewegung correction was directly calculated to confirm the Pauling estimated 0.03 u/nm value. Note that spin-orbit Jensen-Mayer correction discussed by Pauling for rotating bodies is not required because the Brightsen Model does not predict spin-orbit coupling for nucleon clusters, with the exception of weak resonance binding for [N-N] and [P-P] halo clusters, not found in 3-Lithium-6. Comments are welcome.
