Mix up and apply some thermal epoxy and smoosh the LED against the inside back of the copper cap. If you're using Arctic Silver, or any similar product here, I'm confident you read the instructions. Check your receipt and you'll know why I am confident you read the instructions. This stuff ain't cheap. You don't want to mess up. You think a gallon of gasoline is expensive? If you were to buy a gallon of Arctic Silver, it would set you back $9834.50. (No kidding, $12.99 for about 5ml) Oh, and among other things, it's photo-sensitive. So don't leave it exposed under the florescent lighting of your workbench all afternoon. So, why use Arctic Silver? Because Section 2 of the Arctic Silver
instruction manual states, "There is a very good chance that any components you attach with Arctic Silver Thermal Epoxy will stay attached forever."