Due to the fact that neutrons and protons consist of quarks (i.e. are not really Dirac particles), their magnetic moments differ from the so-called "nuclear magneton" (i.e. the natural unit for expressing magnetic dipole moments of nucleons).
In fact, a neutron has a finite magnetic dipole moment despite it is electrically neutral: this is because its internal structure consists of electrically charged quarks.
Therefore, a neutron could be accelerated by electromagnetic fields even if its electric monopole is zero. Moreover, it should radiate photons when accelerated (even though I do not see this fact discussed somewhere... maybe because the effect is extremely small?).
Now the question is: does the same kind of radiation should be expected also for the color charge?
The "color monopole" of a nucleon should always be zero, like the electric monopole of a neutron. However, is it possible to define a "color dipole" for a nucleon? Will nucleons radiate gluons if accelerated? (I am trying to push the analogy with the neutron that radiates photons despite it is neutral: by analogy we could expect nucleons to radiate gluons despite they are "color neutral").
PS: I suspect that this is this impossible because the "ninth" colourless gluon does not exist. EDIT: Is seems so, at least according to this paper: https://arxiv.org/abs/hep-ph/9606317 however, I do not grasp the technical details. Maybe someone could comment on this reference and explain if it is really relevant?