*The summary is correct.   Its a pity really because theory suggests that
there should/could be such an interaction, which is why there have been
many attempts to try and measure it.  In all the examples that I have found
the result comes out the same: no measureable coupling.*


The measurement of the interaction was not done with an anapole magnetic
field. Such a field has only been found in spin ice and toroids.

An anapole magnetic field can only have a toroidal moment.

See

http://en.wikipedia.org/wiki/Toroidal_moment

<snip>
All CPT self-conjugate particles, in particular the Majorana fermion, are
forbidden from having any multipole moments other than toroidal moments. At
tree level , an anapole-only particle interacts only with external
currents, not with free-space electromagnetic fields, and the interaction
cross section diminishes as the particle velocity slows. For this reason,
heavy Majorana fermions have been suggested as plausible candidates for cold
dark matter.
<EndSnip>

The SPP soliton will produce an anapole magnetic field and therefore should
be a candidate for dark matter.

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