SwingWorker don't start immediately - question

Question

Given: two SwingWorkers (SW). I want them BOTH to start working immediately upon execute(). However, it seems that the second SW waits for the first SW to complete. Below is a working example. When you run it, you will see that it pauses ten seconds between debug print statements FIRST and SECOND. Why does it pause? Should not FIRST and SECOND appear nearly simultaneously? How do I make both SW start immediately? Thanks.
import javax.swing.SwingWorker;
public class Test {
private void test() {
new SwingWorker<Object, Void>()
@Override
protected Object doInBackground() throws Exception
System.out.println("FIRST");
System.out.flush();
Thread.sleep(10000);
return null;
@Override
protected void done()
}.execute();
new SwingWorker<Object, Void>()
@Override
protected Object doInBackground() throws Exception
System.out.println("SECOND");
System.out.flush();
return null;
@Override
protected void done()
}.execute();          
public static void main(String[] args) {
System.out.println("START");
System.out.flush();
new Test().test();
try {
Thread.sleep(20000);
catch(InterruptedException e) {
System.out.println("STOP");
}

Answer 1

Turns out I found a bug: http://forums.sun.com/thread.jspa?threadID=5434659. This works great:
import javax.swing.SwingWorker;
import java.util.concurrent.Executors;
import java.util.concurrent.Executor;
public class Test {
    private void test() {
     Executor executor = Executors.newCachedThreadPool();
     executor.execute(
     new SwingWorker<Object, Void>()
         @Override
         protected Object doInBackground() throws Exception
          System.out.println("FIRST");
          System.out.flush();
          Thread.sleep(10000);
          return null;
         @Override
         protected void done()
     executor.execute(
     new SwingWorker<Object, Void>()
          @Override
          protected Object doInBackground() throws Exception
               System.out.println("SECOND");
               System.out.flush();
               // Thread.sleep(10000);
               return null;
          @Override
          protected void done()
    public static void main(String[] args) {
     System.out.println("START");
     System.out.flush();
     new Test().test();
     try {
         Thread.sleep(20000);
     catch(InterruptedException e) {
     System.out.println("STOP");
}