Instantiating an enum

The below code throws a lot of errors at me. So why is it not possible to have an enum like below with only the constructor so that it can be instantiated else where??

public  class TestEnum{
     enum Animal
     {
         public Animal(String name)
         {
             this.name = name;
         }
         String name;
     }
}

Is there any way of instatiating enum or does it violate the very basic property/functionality of enums and it should only be used for creating a set of,say, ready-made objects??