A golf ball comprising a core including a center having an outer diameter from about 0.375 inches to about 1.4 inches and deflection of greater than about 4.5 mm under a load of 100 Kg and an outer core layer having an outer diameter of from about 1.4 in to about 1.62 in, wherein at least one of the center or core layer includes polybutadiene rubber composition including a halogenated organosulfur compound or a metal salt thereof, and a cover including an inner cover layer having an outer diameter of greater than about 1.58 in and a material hardness of less than about 72 Shore D and an outer cover layer having a hardness of greater than about 50 Shore D and a material hardness of less than about 50 Shore D.