Since an enum constructor can only be invoked by its constants, why is it then allowed to be package-private?
The constructor actually isn't package-private... it's implicitly private the way interface methods are implicitly public even if you don't add the keyword.
The relevant section of the JLS (§8.8.3) states:
If no access modifier is specified for the constructor of a normal class, the constructor has default access.
If no access modifier is specified for the constructor of an enum type, the constructor is
private.It is a compile-time error if the constructor of an enum type (§8.9) is declared
publicorprotected.