Starburst is not an official Paulson name, but it's what we collectors call those types of chips.
The chips are "solids" meaning each one is all a single color, as opposed to being "spotted" meaning having multi-colored spots around the edge of the chip.
The chips are hotstamped, i.e. having designs stamped onto the chip surface using metallic foil, as opposed to having inlays.
The Starburst design is a cancellation stamp. Paulson uses that design to cancel chips and ensure they can't be inadvertently mistaken for live chips worth a cash value at a casino. Sometimes a casino will retire chips, and instead of destroying them, have Paulson stamp them with the starburst cancellation stamp. Here's an example:
Besides its use as a cancellation stamp, though... For a while, Paulson sold chips at retail to home customers. The retail chips had simpler designs than the chips they sold to their casino customers. They were usually solids and usually hotstamped. They were never blank, though; as a security measure, Paulson would work hard to ensure that a blank, unstamped chip never left their factory, out of concern that it could be tampered with and used to produce a fake chip that might end up getting cashed at a casino. So even if there were no other graphic designs on it (either inlaid or hotstamped), at the very least they would make sure it had the starburst cancellation stamp.
So chips like the ones you turned up - solids with the starburst hotstamp - were originally sold to home customers through Paulson's retail channels.
Sometimes those chips were produced specifically to be sold at retail, like the orange and blue chips you have probably were. Other times, Paulson ended up with "factory seconds" - chips that were intended to be delivered to a specific customer but for some reason weren't, perhaps because the order was cancelled or the customer wouldn't pay. Those chips were then stamped with the starburst hotstamp and tossed into the mix of chips that ended up being sold at retail. The green chips you found are like that - if you look closely you can see that there was a different pattern initially stamped into the chip (the one that the customer ordered) but then later the starburst pattern was stamped on top of the first one to cancel it. We call these types of chips "overstamps" and they are somewhat less valuable to Starburst collectors than those that have just the starburst stamp and nothing else.
This google search will turn up lots of interesting posts about these types of chips:
https://www.google.com/search?q=site:pokerchipforum.com+starburst
Congratulations on your find! I hope you enjoy them and/or get a good price for them if you sell them to someone else.