A golf ball comprising a core, an intermediate layer, and a cover. The core, which has a compression of 100 or less and a diameter of between about 1.00 inches and about 1.64 inches, is formed from a first polymer including an acid group fully-neutralized by a salt of an organic acid, a cation source, or a suitable base of the organic acid; and a nano-material having an average particle size of 100 nm or less, present in an amount sufficient to adjust at least one material property of the first polymer by 5% to 50% when compared to the material property of the first polymer comprising a material identical to the nano-material but having an average particle size greater than 1000 nm. The intermediate layer is formed from a second polymer comprising an acid group fully-neutralized by a salt of an organic acid, a cation source, or a suitable base of the organic acid.