Pair modify compute no

Commands I used,

pair_style lj/cut/coul/long 10
pair_modify mix arithmetic compute no

kspace_style pppm 1.0e-4

delete_bonds all multi any remove

compute 1 all pe pair

compute 2 all pe bond
compute 3 all pe angle
compute 4 all pe dihedral
thermo_style custom time pe c_1 c_2 c_3 c_4

The thermo output
Time PotEng 1 2 3 4
0 -48.558773 0 0 0 0

Commands I used,

pair_style lj/cut/coul/long 10
pair_modify mix arithmetic compute no
kspace_style pppm 1.0e-4
delete_bonds all multi any remove
compute 1 all pe pair
compute 2 all pe bond
compute 3 all pe angle
compute 4 all pe dihedral
thermo_style custom time pe c_1 c_2 c_3 c_4

The thermo output
Time PotEng 1 2 3 4
           0 -48.558773 0 0 0
0

... and what is wrong about this? you get exactly what you are asking for.