Blocking transmission of sound and absorbing sound are 2 different processes. Bass traps won't do anything to keep low frequency from transmitting through the wall, they just keep it from bouncing back into the room.
Reducing transmission of low frequency sound through a partition is tough, but not impossible. If you are able to make significant changes to the partition, you might have some success.
The most important thing is to have structural decoupling between the 2 sides of the partition. The best solution is a double stud-row wall. If you can build up an inner wall that is not in contact with the existing wall, that is best. You don't need wallboard on both sides of the studs of the inner wall, only on the side facing you. If you can, put at least 2 layers of drywall on the studs. Even better would be to build an inner wall AND ceiling for your listening room. The "box within a box" design is the best possible way to create acoustical separation.
Another option, if you can do this, is to remove the existing layer of wallboard, attach resilient drywall mountings to the stud (resilient channel or track mounts), and then install 2 new layers of drywall on the resilient mounts.
A decent, easy option for retrofit is to install QuietRock or its equivalent over your existing layer of wallboard. It's expensive per-sheet, but if you're only doing one room it's not too bad.