I think use use webkit for that. You can try to force it to use Mozilla's engine, but I had mixed experience with that.
Check this link: https://www.eclipse.org/swt/faq.php#browserspecifydefault
Check this link: https://www.eclipse.org/swt/faq.php#browserspecifydefault
QuoteThe best opportunity for a user to set this property is by launching their application with a -D VM switch (eg.- add to the end of the eclipse.ini file: -Dorg.eclipse.swt.browser.DefaultType=webkit).