Why are neutrons not accelerated by a cyclotron?

In a cyclotron, particles are accelerated by making the dees (D-shaped electrodes) positively and negatively charged. For example, if one were to put a beta particle in a cyclotron, it would speed up through the negatively charged areas (because like charges repel) and slow down in the positively charged areas. This is how it accelerates particles. But a neutron has no charge, therefore, it does not slow down or speed up in a negatively or positively charged area. That is why neutrons are not accelerated by a cyclotron.