A golf ball comprising a core comprised of a polymer containing an acid group neutralized by an organic acid or a salt thereof, the organic acid or salt thereof being present in an amount sufficient to neutralize the polymer by at least about 80%, wherein the core has a first Shore D hardness, a compression of no greater than about 80, and a diameter of no less than about 1.53 inches; and a cover comprised of a material having a second Shore D hardness at least 10 points less than the first hardness.