Regarding potential gauss

Dear all

I want to introduced LJ potential as well as gaussian potential with particles and its lattice point. I am confuse about the pair. My system has one type atom. When i am using command describe below

pair_style hybrid/overlay lj/cut 3.50 gauss 4.762205
pair_coeff 1 1 lj/cut 0.1 1.0 2.75
pair_modify tail yes
pair_coeff 1 1 gauss 8 6.93488 2.75

I am not sure whether it is applied to all particles with its corresponding lattice ploints, or it is calculated only where gaussian potential well force is maximum.
My question whether Gaussian potential has also interaction withother particle except corresponding paricle?

Best regards