Use an enum:
public enum Foo 
{
    INSTANCE;
}
The Right Way to Implement a Serializable Singleton
public enum Elvis {
    INSTANCE;
    private final String[] favoriteSongs =
        { "Hound Dog", "Heartbreak Hotel" };
    public void printFavorites() {
        System.out.println(Arrays.toString(favoriteSongs));
    }
}