The present invention is directed to a two-piece golf ball having a core and a cover, wherein the core comprises at least one unsaturated polymer, at least one cross-linking agent, at least one co-cross-linking agent, and at least one peptizer (comprising one or more organic sulfur compounds, or one or more metal or non-metal salts of an organic sulfur compound), and optionally at least one weight adjusting filler. The improved two-piece balls have optimal velocity and distance performance, as well as excellent shot feel, the called "long and soft" combination. The balls also demonstrate excellent durability properties, and ease of manufacture.