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 having a first amount of trans-isomer content, a free radical source, and a cis-to-trans catalyst comprising a blend of an organosulfur compound and an inorganic sulfide compound, 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 the percent change in dynamic stiffness measured at 0° C. and −50° C. at the center and edge of the core is less than 121 percent, and

wherein the organosulfur compound is selected from the group consisting of pentafluorothiophenol; 2-fluorothiophenol; 3-fluorothiophenol; 4-fluorothiophenol; 2,3-fluorothiophenol; 2,4-fluorothiophenol; 3,4-fluorothiophenol; 3,5-fluorothiophenol 2,3,4-fluorothiophenol; 3,4,5-fluorothiophenol; 2,3,4,5-tetrafluorothiophenol; 2,3,5,6-tetrafluorothiophenol; 4-chlorotetrafluorothiophenol; pentachlorothiophenol; 2-chlorothiophenol 3-chlorothiophenol; 4-chlorothiophenol; 2,3-chlorothiophenol; 2,4-chlorothiophenol; 3,4-chlorothiophenol; 3,5-chlorothiophenol; 2,3,4-chlorothiophenol; 3,4,5-chlorothiophenol; 2,3,4,5-tetrachlorothiophenol; 2,3,5,6-tetrachlorothiophenol; pentabromothiophenol; 2-bromothiophenol; 3-bromothiophenol; 4-bromothiophenol; 2,3-bromothiophenol; 2,4-bromothiophenol; 3,4-bromothiophenol; 3,5-bromothiophenol; 2,3,4-bromothiophenol; 3,4,5-bromothiophenol; 2,3,4,5-tetrabromothiophenol; 2,3,5,6-tetrabromothiophenol; pentaiodothiophenol; 2-iodothiophenol; 3-iodothiophenol; 4-iodothiophenol; 2,3-iodothiophenol; 2,4-iodothiophenol; 3,4-iodothiophenol; 3,5-iodothiophenol; 2,3,4-iodothiophenol; 3,4,5-iodothiophenol; 2,3,4,5-tetraiodothiophenol; 2,3,5,6-tetraiodothiophenoland; and their zinc salts, the metal salts thereof, and mixtures thereof.

2. The golf ball of claim 1 , wherein the organosulfur compound is a zinc salt of pentachlorothiophenol.

3. The golf ball of claim 1 , 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 comprises a single peroxide.

5. The golf ball of claim 1 , wherein the material is substantially free of antioxidant.

6. 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.

7. 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.

8. 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.

9. The golf ball of claim 1 , 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.

10. The golf ball of claim 1 , wherein the cover comprises polyurea.

11. The golf ball of claim 1 , wherein the cover is formed of a polyurethane composition comprising a prepolymer formed of a polyisocyanate and a polyol, and a curing agent.

12. The golf ball of claim 1 , wherein the material 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 percent.

13. A golf ball having a cover and a core, wherein the core comprises a reaction product of polybutadiene having a first amount of trans-isomer, a free radical source, and a cis-to-trans catalyst present in an amount of about 2.2 parts per hundred or greater and comprising a blend of a halogenated organosulfur compound comprising thiophenol and an inorganic sulfide compound, wherein the reaction product comprises a second amount of trans-isomer content greater than the first amount of trans-isomer content, less than about 0.01 parts per hundred of antioxidants, and 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 percent.

14. The golf ball of claim 13 , wherein the material is substantially free of antioxidant.

15. The golf ball of claim 13 , wherein a ratio of the free radical source to the antioxidant is about 50 or greater.

16. The golf ball of claim 13 , wherein the second amount of trans-isomer content is about 10 percent or greater.

17. The golf ball of claim 13 , wherein the cis-to-trans catalyst is present in an amount of about 2.3 parts per hundred to about 5 parts per hundred.

18. The golf ball of claim 13 , wherein the cover comprises polyurethane, polyurea, or a mixture thereof.

19. A golf ball having a cover and a core, wherein the core comprises a reaction product of polybutadiene having a first amount of trans-isomer, a free radical source, and a cis-to-trans catalyst present in an amount of about 2.2 parts per hundred or greater and comprising a blend of;

a halogenated organosulfur compound having the formula

where R 1 -R 5 are independently selected from the group consisting of C 1 -C 8 alkyl groups, halogen groups, thiol groups, carboxylated groups, sulfonated groups, and hydrogen; and

an inorganic sulfide compound,

wherein the reaction product comprises a second amount of trans-isomer content greater than the first amount of trans-isomer content, a free radical source to antioxidant ratio of about 25 or greater, and 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 percent.

20. The golf ball of claim 19 , wherein the reaction product comprises about 0.01 parts per hundred of antioxidants.