A B737-800 Flight Crew reported main gear tire failure on landing; possibly due to an antiskid malfunction. There was some damage to the aircraft from the loose tread.

Narrative

During the walk around I found the number 4 and 1 tires were low on pressure. All tires had good tread remaining on them. Maintenance serviced the tires and we proceeded on time. The flight; including descent and approach; was normal. First Officer performed a 40-flap landing with auto brakes 2 selected. The touchdown was on speed; smooth and in the touchdown zone; although the aircraft settled a bit harshly when the spoilers deployed. First Officer began applying brakes and the auto brakes disarmed. At one point it felt as if the brakes suddenly grabbed; but we felt no unusual vibration in the cockpit. As we slowed further the anti-skid fail light came on. We turned off the runway and began taxiing to the gate. The PSEU light on the overhead illuminated and before turning towards the jetway I noticed the green gear down light for the right main gear was no longer illuminated and stopped the aircraft. The First Officer pointed out the green light for the right main was illuminated on the overhead panel. The aircraft was not listing and otherwise felt normal while taxiing; so I continued to the gate. After stopping at the gate the First Officer checked the hydraulics and stated that the A system was losing fluid and was now showing an 'RF'. I went outside and found the number 3 tire had blown and the tread separated. The loose tread had cut one of the A system hydraulic lines and had pulled out wire bundles from the wheel well area near the main strut. It also damaged a bracket in the same area; as well as some skin damage to the lower wing; both fore and aft of the well area. We notified Tower and had them sweep the runway of the separated remnants prior to the next aircraft's arrival. When I went down to look; ground personnel were already containing the hydraulic fluid spill around the right gear. When I asked the flight attendants; the two in back of the plane said they felt a thumping sound from the gear on rollout. No passengers or crew were injured and none of the passengers mentioned hearing any sound or unusual occurrence when they deplaned.