Low compression, resilient golf balls with rubber core

1. A golf ball having a cover and a core, wherein the core comprises a material formed from the conversion reaction of polybutadiene, a free radical source comprising a single peroxide, and a cis-to-trans catalyst comprising zinc pentachlorothiophenol, wherein the conversion reaction occurs at a sufficient temperature to form a polybutadiene reaction product comprising:

a second amount of trans-isomer content greater than the first amount of trans-isomer content, wherein the material has a free radical source to antioxidant ratio of about 25 or greater, wherein the cis-to-trans catalyst is present in an amount of about 2.2 parts per hundred or greater, and wherein a first hardness measured at an interior location in the core differs from a second hardness measured at an exterior surface on the core by at least about 10 percent wherein the golf ball has a coefficient of restitution of about 0.81 or greater.

2. The golf ball of claim 1 , wherein the free radical source to antioxidant ratio is about 50 or greater.

3. The golf ball of claim 2 , wherein the free radical source to antioxidant ratio is about 100 or greater.

4. The golf ball of claim 3 , wherein the free radical source to antioxidant ratio is about 200 or greater.

5. The golf ball of claim 4 , wherein the free radical source to antioxidant ratio is about 300 or greater.

6. The golf ball of claim 1 , wherein the cover comprises at least one of a vinyl resin, a polyolefin, a polyurethane, a polyurea, a polyamide, an acrylic resin, a polyphenylene oxide resin, a thermoplastic polyester, a thermoplastic rubber, a fully-neutralized polymer, a partially-neutralized polymer, or a mixture thereof.

7. The golf ball of claim 6 , wherein the cover is formed of a polyurethane composition comprising a prepolymer formed of a polyisocyanate and a polyol, and a curing agent.

8. The golf ball of claim 7 , wherein at least one of the prepolymer and curing agent are saturated.

9. The golf ball of claim 1 , wherein the material is substantially free of antioxidants.

10. The golf ball of claim 1 , wherein the free radical source is present in an amount of about 3 parts per hundred or less of the material and the antioxidant is present in an amount of about 0.1 parts per hundred or less of the material.

11. The golf ball of claim 1 , wherein a ratio of the free radical source to the cis-to-trans catalyst is about 1 or less.

12. The golf ball of claim 1 , wherein a ratio of the free radical source to the cis-to-trans catalyst is greater than about 1.

13. The golf ball of claim 9 , wherein the material comprises less than about 0.05 parts per hundred or less of antioxidants.

14. A golf ball having a cover and a core,

wherein the core comprises a material formed from the conversion reaction of polybutadiene, a free radical source comprising a single peroxide, and a cis-to-trans catalyst comprising zinc pentachlorothiophenol present in an amount of about 2.2 parts per hundred or greater, wherein the conversion reaction occurs at a sufficient temperature to form a polybutadiene reaction product comprising a second amount of trans-isomer content greater than the first amount of trans-isomer content, wherein the material has a free radical source to antioxidant ratio of about 25 or greater, wherein the reaction product has a first hardness measured at an interior location in the core that differs from a second hardness measured at an exterior surface on the core by at least about 10 percents

wherein the cover comprises an inner cover and an outer cover, wherein at least one of the inner and outer cover has a thickness of 0.02 to 0.04 inches, and

wherein the golf ball has a coefficient of restitution of about 0.81 or greater.

15. The golf ball of claim 14 , wherein the free radical source to antioxidant ratio is about 100 or greater.

16. The golf ball of claim 15 , wherein the material is substantially free of antioxidants.

17. The golf ball of claim 14 , wherein the second amount of trans-isomer content is about 10 percent or greater.

18. The golf ball of claim 17 , wherein the second amount of trans-isomer is about 20 percent or greater.

19. The golf ball of claim 14 , wherein the cis-to-trans catalyst is present in an amount of about 2.3 parts per hundred to about 5 parts per hundred.

20. The golf ball of claim 16 , wherein the material comprises less than about 0.01 parts per hundred or less of antioxidants.

21. The golf ball of claim 14 , wherein the cover comprises polyurethane.