Right click on JButton

Question

I am trying to write a Minesweeper clone in Java for fun. I have a grid of JButtons whose labels I will change to represent the danger count, flags, etc.

My problem is, I don't know how to get a right click on a JButton to depress the button. I've done the following:

button.addMouseListener(new MouseAdapter(){
    public void mouseClicked(MouseEvent e){
        boolean mine = field.isMine(x, y);
        if (e.isPopupTrigger()) {
            button.setText("F");
        }
        else {
            if (mine) {
                button.setText("X");
            }
        }
    }
});

This doesn't seem to be working at all; the "F" is never shown, only the "X" part. But more importantly, this does nothing for depressing the button.

EDIT: Macs have popup trigger happen on mousePress, not mouseClick.

EDIT: Here's the solution I worked out based off of accepted answer:

button.addMouseListener(new MouseAdapter(){
            boolean pressed;

            @Override
            public void mousePressed(MouseEvent e) {
                button.getModel().setArmed(true);
                button.getModel().setPressed(true);
                pressed = true;
            }

            @Override
            public void mouseReleased(MouseEvent e) {
                //if(isRightButtonPressed) {underlyingButton.getModel().setPressed(true));
                button.getModel().setArmed(false);
                button.getModel().setPressed(false);

                if (pressed) {
                    if (SwingUtilities.isRightMouseButton(e)) {
                        button.setText("F");
                    }
                    else {
                        button.setText("X");
                    }
                }
                pressed = false;

            }

            @Override
            public void mouseExited(MouseEvent e) {
                pressed = false;
            }

            @Override
            public void mouseEntered(MouseEvent e) {
                pressed = true;
            }                    
        });
        add(button);

Minesweeper clone http://grab.by/1y9z

Answer 1

I wouldn't use isPopupTrigger but directly check for the right button:

button.addMouseListener(new MouseAdapter(){
  public void mouseClicked(MouseEvent e){
    boolean mine = field.isMine(x, y);
    if (e.getButton() == MouseEvent.BUTTON2) {
      button.setText("F");
    }
  ...