Inheriting static variable from abstract class

I have half a dozen classes which all extend the same abstract class. The abstract class has a static variable pointing to some JNI code that I only want to load once per instantiation of the classes.

From what I understand this results in exactly one instance of this static variable being instantiated, but what I want is for each of the extending classes to have their own static instance of the variable that is unique for the given child class. I want to write some code in my abstract class that modifies and/or releases the abstract class. Is it possible to do both of these things at once?

So as an example can I write an abstract class bar with an variable foo and a printFoo method which prints the content of foo. Then I instantiate in order fooBar1, fooBar2, and fooBar3 which each extend the bar class and initialize foo to different values in static blocks. If I call foobar1.printFoo I want to print the static value of foo initialized by fooBar1 constructor.

Can this be done in java?