Yes, a particle with a non-zero rest mass can indeed have a zero charge. The rest mass of a particle refers to its mass when it is at rest, independent of its motion or charge. The charge of a particle, on the other hand, relates to its electric charge, which can be positive, negative, or zero.
In the Standard Model of particle physics, there are particles known as neutrinos that have non-zero rest masses but zero electric charge. Neutrinos are electrically neutral particles that interact only weakly with other particles through the weak nuclear force. They are produced in various processes, such as nuclear reactions and certain types of radioactive decays.
Neutrinos come in three flavors: electron neutrino, muon neutrino, and tau neutrino. Each flavor corresponds to a different charged lepton (electron, muon, or tau) in the Standard Model. Neutrinos are considered to be extremely elusive particles because they interact so weakly with matter. As a result, they can pass through vast amounts of material without being easily detected.
Experimental evidence from various neutrino experiments, such as those conducted at particle accelerators and neutrino detectors, has confirmed that neutrinos have non-zero rest masses. However, their masses are relatively small compared to other particles in the Standard Model, making them difficult to measure precisely.
In summary, particles with non-zero rest masses can have zero electric charge, as demonstrated by neutrinos, which are neutral particles with non-zero masses.