Cone-shaped band in particle system

I’d like to add a circular band with some texture on it to my particle system, but i don’t know whether it’s possible the way i think of it. To better illustrate the problem, take a look at the following graphic:

As you can see, my target shape is something like a ring which is bend inwards (the surface can be straight if possible, but the orientation to the ground should be in this “tilted” way). Is it possible to create such a shape using only a particle system or would i need to create this using another method?

Mfg kid2407 / Tobias