Is there any relationship between spin and charge of an elementary particle?

Question

Do u know of any particle without spin but carring charge?

Answer 1

There is a relationship, but unfortunately you need to know a lot of high-level mathematics to understand it. Here's a somewhat simplified description:

Fermions are particles with spin-1/2 (like quarks and electrons). These particles belong to either the "trivial representation" or the "fundamental representation" of gauge groups. What we call the "charge" of a particle is closely related to which representation it is in. A particle in the trivial representation has (usually) no charge; one in the fundamental representation has charge. So, for example, quarks are in the fundamental triplet of the strong force, so they have color charge. Electrons are in the trivial one, so they have no color charge. Electric charge is a complicated exception (again, unfortunately).

Gauge bosons are particles with spin-1 (like photons and gluons). They belong to the "adjoint representation" of gauge groups. If the adjoint is the same as the trivial, then the particle has no charge; for example, photons do not have electric charge. Otherwise, the particle does have charge; gluons do have color charge.

The Higgs boson is a fundamental particle with zero spin that has weak charge and could have electric charge. We won't know exactly what kind until it is discovered.

There are also many composite particles with zero spin and non-zero electric charge: charged pions, kaons, D's, B's, etc.

Answer 2

No.

Neutrons, for instance, have no charge but do have spin.