Golf ball cores made from plasticized thermoplastic compositions containing non-acid polymers

A golf ball, comprising:

• i) an inner core comprising a first thermoplastic material, the first thermoplastic material comprising:
• a) a thermoplastic non-acid polymer selected from the group consisting of a polyether-amide block copolymer and a polyester-polyether block copolymer, and mixtures thereof;
• and b) a plasticizer;
• the inner core having an outer surface hardness (Hinner core surface) and a center hardness (Hinner core center), the Hinner core surface being the same or less than the Hinner core center to provide a negative hardness gradient;
• and
• ii) an outer core layer comprising a second thermoplastic material, the outer core layer being disposed about the inner core and having an outer surface hardness (Houter surface of OC) and a midpoint hardness (Hmidpoint of OC), the Houter surface of OC being greater than the Hmidpoint of OC to provide a positive hardness gradient;
• the inner core and outer core forming a core assembly, wherein the center hardness of the inner core (Hinner core center) is in the range of about 10 Shore C to about 70 Shore C and the outer surface hardness of the outer core layer (Houter surface of OC) is in the range of about 20 Shore C to about 95 Shore C to provide a positive hardness gradient across the core assembly;
• and
• iii) a cover having at least one layer.