I think that question is self-explained :-)
When I browse to Application eclipse send me an error.
The simplest way to get Eclipse to recognize Chrome as the default system browser is :
This solution is more general as it applies to any application which chooses the incorrect system browser. (thanks to Kelvin Lawrence at IBM)
I am using Eclipse 4.2.0 on an iMac with OSX Mountain Lion. This also works for Eclipse Kepler on Mountain Lion.